Use these quick links to create some common types of proportion worksheets. Below, with the actual generator, you can generate worksheets to your exact specifications.
Easy proportions (can be solved by thinking of equivalent fractions) | Solve proportions (whole numbers) |
Solve proportions (decimals) | Simple word problems that involve proportions |
Simple word problems that involve proportions and use decimal numbers |
decimals. empty lines below the problem (workspace) | Use ONLY whole numbers in the problem AND in the answer. (This overrides the previous selections for decimal digits.) |
A car can travel 45 miles on 2 gallons of gasoline. How far can it travel on 5.6 gallons? | ||
A boat can travel 45 miles on 7 gallons of gasoline. How much gasoline will it need to go 78 miles? | ||
A car travels 98 miles in 1.4 hours (with a constant speed). How far can it travel in 7 hours (with the same speed)? | ||
An airplane travels 645 miles in 3 hours (with a constant speed). How much time will it take traveling 1,000 miles? | ||
6 lbs of potatoes cost $12.90. How much would 3.4 lbs cost? | ||
6 kg of potatoes cost $12.90. How many kilograms of potatoes can you get with $8? |
Algebra is often taught abstractly with little or no emphasis on what algebra is or how it can be used to solve real problems. Just as English can be translated into other languages, word problems can be "translated" into the math language of algebra and easily solved. Real World Algebra explains this process in an easy to understand format using cartoons and drawings. This makes self-learning easy for both the student and any teacher who never did quite understand algebra. Includes chapters on algebra and money, algebra and geometry, algebra and physics, algebra and levers and many more. Designed for children in grades 4-9 with higher math ability and interest but could be used by older students and adults as well. Contains 22 chapters with instruction and problems at three levels of difficulty.
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Proportions and ratios.
The use of proportions is a practical math skill that students often struggle with. Our proportions worksheets review whole number and decimal proportions as well as provide simple proportion word problems.
1 / 3 = x / 9 | |
(answers rounded to 1 decimal) | 38 / 2 = 14 / x |
(decimals) | 17.3 / x = 11 / 15.7 |
(decimals) | |
Sample Grade 6 Proportions Worksheet
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These free proportions worksheets will help you set up and solve proportions that represent everyday, real-life situations involving integers and fractions.
These solving proportions worksheets will help students meet Common Core Standards for Expressions & Equations as well as Ratios & Proportional Relationships . I would recommend these exercise for 6th grade, 7th grade, and 8th grade math students.
Solving Proportions Worksheet 1 (Integers) – This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate. The proportions have already been set up for you. Solving Proportions Worksheet 1 RTF Solving Proportions Worksheet 1 PDF Solving Proportions Worksheet 1 in Your Browser View Answers
Solving Proportions Worksheet 2 (Integers) – This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate. The proportions have already been set up for you. Solving Proportions Worksheet 2 RTF Solving Proportions Worksheet 2 PDF Solving Proportions Worksheet 2 in Your Browser View Answers
Solving Proportions Worksheet 3 (Integers) – This 10 problem worksheet features word problems with proportions that are partially complete. You will have to complete and solve the proportions to find the unit rate. Solving Proportions Worksheet 3 RTF Solving Proportions Worksheet 3 PDF Solving Proportions Worksheet 3 in Your Browser View Answers
Solving Proportions Worksheet 4 ( Integers) – This 9 problem worksheet features word problems where you will have to set up and solve proportions to find a unit rate. Solving Proportions Worksheet 4 RTF Solving Proportions Worksheet 4 PDF Solving Proportions Worksheet 4 in Your Browser View Answers
Solving Proportions Worksheet 1 (Fractions) – This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate. The proportions have already been set up for you. Solving Proportions Worksheet 1 RTF Solving Proportions Worksheet 1 PDF Solving Proportions Worksheet 1 in Your Browser View Answers
Solving Proportions Worksheet 2 (Fractions) – This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate. The proportions have already been set up for you. Solving Proportions Worksheet 2 RTF Solving Proportions Worksheet 2 PDF Solving Proportions Worksheet 2 in Your Browser View Answers
Solving Proportions Worksheet 3 (Fractions) – This 10 problem worksheet features word problems with proportions that are partially complete. You will have to complete and solve the proportions to find the unit rate. Solving Proportions Worksheet 3 RTF Solving Proportions Worksheet 3 PDF Solving Proportions Worksheet 3 in Your Browser View Answers
Solving Proportions Worksheet 4 ( Fractions) – This 9 problem worksheet features word problems where you will have to set up and solve proportions to find a unit rate. Solving Proportions Worksheet 4 RTF Solving Proportions Worksheet 4 PDF Solving Proportions Worksheet 4 in Your Browser View Answers
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Welcome to our Ratio and Proportion worksheet page. Here you will find our range of 6th Grade worksheets which will help your child learn about ratios and proportions in a practical context.
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Our ratio and proportion worksheets have all been designed to use pictures and practical contexts to support understanding.
The sheets have been put in order of difficulty, with the easiest first.
Each problem sheet comes complete with an answer sheet.
There are two sections to our worksheets:
Using these sheets will help your child to:
Want to test yourself to see how well you have understood this skill?.
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Ratio and proportion color in worksheets.
How do ratio and proportion work, how to work out ratios and proportions.
When we look at ratios, we are usually looking at the relationship of one object compared to another.
When we are looking at proportions, we are looking at one object compared to the whole set of objects.
Proportions are usually written as fractions.
Let's have a look at the example below:
There are 3 orange fish and 2 blue fish, so the ratio of orange fish to blue fish is 3:2.
There are 3 orange fish out of 5 fish, so the proportion of orange fish is 3 ⁄ 5 .
There are 2 blue fish out of 5 fish, so the proportion of blue fish is 2 ⁄ 5 .
What does lowest term ratio mean?
Just like fractions, ratios can be simplified.
We can simplify ratios by finding common factors of the numbers involved and dividing them all by the common factors.
The ratios are in lowest terms (or simplest form) when there are no more common factors except 1.
Look at the example below:
The ratio of yellow snails to red snails is 2 to 4 or 2 : 4.
Because these two numbers have a common factor of 2, they can both be divided by 2 to give a simpler ratio.
So 2 : 4 = 1 : 2
There are now no common factors apart from 1, so we cannot simplify the ratio further.
So the ratio of yellow snails to red snails in lowest terms is 1 : 2.
This means that there 1 yellow snail for every 2 red snails.
How can we simply the proportion?
The proportion is usually written as a fraction.
We can simplify the proportion by writing the fraction in simplest form.
Look at the snail example again:
There are 2 yellow snails and 4 red snails, so 2 out of 6 snails are yellow and 4 out of 6 snails are red.
The proportion of yellow snails is 2 ⁄ 6 . This can be simplified to 1 ⁄ 3 .
The proportion of red snails is 4 ⁄ 6 . This can be simplified to 2 ⁄ 3 .
Sheets 1 to 3 involve finding simple ratios and proportions with no need to convert to lowest terms. They are great as an introduction to ratio and proportion.
Sheets 4 and 5 involve recording ratios and proportions in lowest terms.
Sheet 6 involves recording ratios and proportions in lowest terms to 3 different objects. It is the hardest sheet.
These sheets involve coloring the objects according to the given ratios and working out the proportions.
Sheet 1 involves coloring in objects and recording numbers of objects where the ratios match the total number of objects.
Sheet 2 is similar to Sheet 1, but the number of objects is sometimes a multiple of the ratios.
Sheet 3 involves coloring 3 different objects and working out each of the 3 proportions according to the given ratios.
Take a look at some more of our worksheets similar to these.
We have a selection of other ratio worksheets, which involve only ratio questions.
We also have a collection of ratio word problem worksheets.
Take a look at our percentage worksheets for finding the percentage of a number or money amount.
We have a range of percentage sheets from quite a basic level to much harder.
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This quiz tests your skill and apply your knowledge of ratio and proportion here.
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Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.
Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers.
Worksheet Name | 1 | 2 | 3 |
---|---|---|---|
Direct Proportionality - Basics | |||
Direct Proportionality – Advanced | |||
Inverse Proportionality – Basics | |||
Inverse Proportionality - Advanced | |||
Proportionality - Direct and Inverse |
Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. It really is one of the very best websites around.
Name | Questions | Solutions |
---|---|---|
Proportion: direct | ||
Proportion: inverse |
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Call them wall-to-wall practice or an across-the-board review, our free printable proportions worksheets get you the whole shebang of equivalent ratios. Apart from identifying, forming, and solving proportions, exercises on the constant of proportionality, proportional relationships, unit rate, and word problems pervade this collection, primed to make a mark on your proportions practice.
Our proportions worksheet pdfs are ideal for math wizards in grade 6, grade 7, and grade 8.
Identifying Proportions - Pair of Ratios
A promising start for a fruitful session, these identifying proportions worksheets guide 6th grade kids to cruise through the pairs of ratios and cull out the proportions.
Identifying Proportions - Tables
The 7th grade and 8th grade students are in for a treat with these proportion worksheet pdfs, where they check whether the values of x and y in the given tables are proportional.
Forming Proportions
Salute groups of four numbers that are gratefully awaiting their foray into the world of proportions in these creating proportions worksheets for grade 7 and grade 8.
Solving Proportions - Level 1
Unmask the unknown variables in these printable proportion worksheets that task math enthusiasts with cross-multiplying to solve for the value of the variable.
Solving Proportions - Level 2
Let your peers be green with envy as you display your numerical mastership to take on the challenge of solving these sets of problems where the value of the unknown variable is a fraction.
Constant of Proportionality Worksheets
Identify the constant of proportionality, ‘k’, in each of the data sets in these exercises, keeping in mind that y = kx. Be it graphs, linear relationships, or tables, we have you covered.
Unit Rate Worksheets
As you find the rates or unit rates for the graphs, phrases, and word problems in this printable set, remember the rate is a ratio of two terms in unlike units while the unit rate is where the denominator is 1.
Proportions Word Problems Worksheets
In these proportion worksheets pdf, grade 6 and grade 7 students thrive on proportions drawn on practical scenarios, as they unleash their inner math genius on word problems.
Related Printable Worksheets
▶ Ratio
▶ Percent
▶ Equivalent Fractions
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Immerse yourself in practice with our printable ratio worksheets. Whether it is part-to-part ratios, part-to-whole ratios, identifying parts from the whole, or finding the whole from the parts, dividing quantities, generating equivalent ratios, or expressing the ratio in three different ways, that you are looking for, these pdfs have them all covered for your grade 5 through grade 8 learners. Instantly evaluate your ratio problems with the answer keys provided. Our free ratio worksheets are a must-have to get the ball rolling!
Part-to-Part Ratio | Level-1
Perk up with these part-to-part ratio worksheets and get children in grade 5 and grade 6 to count how many of one thing there is as compared to another and express it as a ratio.
Part-to-Part Ratio | Level-2
Fuel learning with these ratio pdfs where the two sets of objects are mixed up. Count the number of each kind and frame a ratio comparing the size of one number to the size of the other.
Part-to-Whole Ratio | Level-1
Comparing the number of butter cookies to the assorted cookies in a jar is an example of part-to-whole ratios. Measure the quantity of one item against the total and write the ratio.
Part-to-Whole Ratio | Level-2
Upscale with these printable part-to-whole ratio worksheets. Direct children to count the number of specified objects, add the three terms to find the whole and express them as a ratio.
Expressing Ratio in Three Ways | Pictures
Get acquainted with the different representations of a ratio. Count the two different sets of pictures and express the ratio by using "to", the colon symbol ":", and the fraction notation.
Representing Ratio in Three Ways | Standard
Doing away with pictures and presenting ratio in word format, these ratio worksheets are a sure-fire way to help learners transit easily as they read phrases and express the ratio in three ways.
Drawing Shapes to Represent the Ratio
Break away from the humdrum of regular printable ratio worksheets and get children to stay in the groove as they follow the instructions and sketch shapes to represent the ratio.
Coloring Objects to Represent the Ratio
Add a splash of color with these pdf worksheets where 5th grade, and 6th grade children are expected to color the specified number of objects as instructed and figure out the ratio.
Reducing Ratios to the Lowest Terms | Easy
Reducing is nothing but converting the ratio to its simplest form. Divide the antecedent and the consequent terms of the ratio, which are numbers within 50, by the GCF to reduce the ratio.
Reducing Ratios to the Lowest Terms | Moderate
Raise the bar for grade 6 and grade 7 learners with these reducing the ratios to the lowest terms worksheets where the number range gradually increases to 100.
Simplifying Ratios Involving Unit Conversion | Easy
Take your simplifying ratio skills to new heights with these pdfs. Using appropriate conversion formulas, make the units uniform and reduce the ratio to the simplest terms.
Simplifying Ratios Involving Unit Conversion | Moderate
Bring uniformity in the units before reducing the ratio to lowest terms as you make headway with these printable simplifying ratio worksheets involving numbers within 100.
Finding the Parts from the Whole
Add up the terms of the ratio. Divide the whole quantity by the sum of the parts to find the unit rate. Multiply each term with the unit rate to find the two parts. Not as complicated as it sounds!
Finding the Whole from Parts
The ratio of two numbers and the quantity of one part is provided. Scale up the other term by multiplying it and figure out the other quantity, add the two quantities to find the whole.
Dividing Quantities into 3-Part Ratios
Add the three terms to find the total number of parts the quantity should be divided into. Multiply each term in the ratio with the unit rate and share the quantity in the given ratio.
Writing the Equivalent Ratios
Scale up each ratio by multiplying the antecedent and the consequent terms by the same number and write an equivalent ratio and complete the table with the missing equivalent ratios.
Finding Unknown Quantities from Equivalent Ratios
Instruct 7th grade and 8th grade learners to simplify ratios and check for equivalence, work out the unknown quantity in an equivalent equation, and solve word problems too.
Ratio Word Problems
Go beyond books and practice the real-time application of ratio concepts as you solve word problems involving part-to-part ratios, part-to-whole ratios, and much more.
(27 Worksheets)
Proportion Worksheets
Comprehend the distinction between ratio and proportion with this batch of proportion worksheets offering exercises like finding proportions, identifying them from graphs, and more!
(120 Worksheets)
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Chapter 5 homework solutions.
5.1-5.3 Extra Practice Worksheet
5.1 Lesson Preso
5.1 Textbook Exercises: page 167
Ba: 1-6, 11-27 odd;
Avg: 1-6, 11-21 odd, 24-28 even, 29, 31;
Adv: 1-6, 18-38 even
5.2 Textbook Exercises page 174
Ba: 1-4, 5-13 odd, 21-27 odd;
Avg 1-4, 5-13 odd, 22-30 even;
Adv: 1-4, 6-14 even, 22-32 even
5.3 Lesson Preso
5.3 Textbook Exercises page 182
Ba: 1-3, 9, 11, 12, 13-23 odd
Avg: 1-3, 8-14 even, 19-23
Adv: 1-3, 8-24 even, 25
5.4 Lesson Preso
5.4 Textbook Exercises page 190
Ba: 1-3, 5-9 odd, 15-21 odd, 22, 23-27 odd
Avg: 1-3, 5-9 odd, 15-21 odd, 22, 29, 30, 32-35
Adv: 1-3, 4-8 even, 14-38 even
5.5 Lesson Preso
5.5 Textbook Exercises page 196
Ba: 1-3, 5-11 odd, 12, 13-17 odd
Avg: 1-3, 5-11 odd, 12, 14-17
Adv: 1-3, 4-18 even
5.6 Lesson Preso
5.6 Textbook Exercises page 202
Ba: 1-3, 7-17 odd, 18, 19-25 odd
Avg: 1-3, 7-17 odd, 18-28 even
Adv: 1-3, 8-28 even
5.1-5.3 Review Quizizz:
5.4-5.6 Review Quizizz:
Chapter 5 Review Quizizz:
A ratio is a comparison of two numbers . It can be written in three ways: using the word "to," using a colon, or as a fraction . For example, the ratio of boys to girls in a class of 20 students can be written as 4:6, 4 to 6, or 4/6.
A proportion is an equation that states that two ratios are equal. For example, if 2/3 is equal to 4/x, then it forms a proportion . Proportions can be solved using cross multiplication .
A percent is a ratio that compares a number to 100. It is often represented using the symbol "%". For example, 25% means 25 out of 100, or 0.25 as a decimal . Percentages are commonly used to express parts of a whole or to compare one quantity to another.
1. Calculate 30% of 80.
Answer: To calculate 30% of 80, you can use the formula : (30/100) * 80 = 24.
2. Solve the proportion : 2/5 = 4/x.
Answer: Cross multiplying gives you 2x = 20, so x = 10.
3. Express the ratio 3:5 as a fraction in simplest form.
Answer: The ratio 3:5 can be written as the fraction 3/5, which is already in its simplest form.
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Create proportion worksheets to solve proportions or word problems (e.g. speed/distance or cost/amount problems) — available both as PDF and html files. These are most useful when students are first learning proportions in 6th, 7th, and 8th grade. Options include using whole numbers only, numbers with a certain range, or numbers with a ...
Our proportions worksheets review whole number and decimal proportions as well as provide simple proportion word problems. Proportions: Simple proportions: 1 / 3 = x / 9: Proportions (answers rounded to 1 decimal) 38 / 2 = 14 / x: Proportions (decimals) 17.3 / x = 11 / 15.7 : Proportion word problems:
These solving proportions worksheets will help students meet Common Core Standards for Expressions & Equations as well as Ratios & Proportional Relationships.. I would recommend these exercise for 6th grade, 7th grade, and 8th grade math students. Integer Worksheets. Solving Proportions Worksheet 1 (Integers) - This 9 problem worksheet features proportions that represent real-life situations ...
This series of printable proportion worksheets are prepared specifically for learners of grade 6, grade 7, and grade 8. A variety of pdf exercises like finding proportions using a pair of ratios, determining proportions in function tables, creating a proportion with a given set of numbers and solving word problems are included here.
Each problem sheet comes complete with an answer sheet. There are two sections to our worksheets: the first section involves using the image to work out the ratios and proportions involved. the second section involves coloring in the objects to show the required ratio, and working out the proportion of one object to the whole set.
Download the set. Level 1: Solve the Proportion - Algebraic Expression. Evaluate the proportions involving algebraic expressions with two terms. Use the proportionality rule and solve the equations to obtain the value of the missing variable. Download the set. Level 2: Solve the Proportion - Algebraic Expression.
Mathster keyboard_arrow_up. Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. Worksheet Name. 1. 2. 3. Direct Proportionality - Basics. 1.
Proportions Word Problems Worksheets. In these proportion worksheets pdf, grade 6 and grade 7 students thrive on proportions drawn on practical scenarios, as they unleash their inner math genius on word problems. Grab our printable proportions worksheets and just let rip with exercises on identifying proportions, solving proportions, forming ...
Ratios & Proportional Relationships. l Relationships in a Table & Grap. Directions: Answer pr. blems #6-8. Show. all of your work!Find the mistake! Circle the mistake. Determine if the following represents a proportional relationship: x y. the table represents a proportional12.
In these worksheets, your students will solve proportions algebraically (use cross multiplication method to solve for a variable in order to complete a proportion). They will write ratios in their simplest form. They will also create proportions from a given set of numbers. This set of worksheets contains how-to lessons, step-by-step solutions ...
Worksheet. In this seventh-grade math worksheet, students will learn how to find the constant of proportionality of a proportional relationship from a table. Identify Proportional Relationships From Graphs. Worksheet. Practice identifying proportional relationships from graphs with this two-page math worksheet!
Proportions Date_____ Period____ State if each pair of ratios forms a proportion. 1) 4 2 and 20 6 2) 3 2 and 18 8 3) 4 3 and 16 12 4) 4 3 and 8 6 5) 12 24 and 3 4 6) 6 9 ... Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com. Title: Proportions
Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there! Interactive simulation the most controversial math riddle ever! Free worksheet (pdf) and answer key on rations and proportions. 17 scaffolded questions that start relatively easy and end with some real challenges. Plus model problems explained step by step.
Worksheet. Practice filling in ratios in tables and graphs with this sixth-grade math worksheet! Relate Fractions, Decimals, and Percents #3. Worksheet. Students explore how fractions, decimals, and percents relate to one another with this simple practice worksheet! Write Equivalent Ratios #1. Worksheet.
Immerse yourself in practice with our printable ratio worksheets. Whether it is part-to-part ratios, part-to-whole ratios, identifying parts from the whole, or finding the whole from the parts, dividing quantities, generating equivalent ratios, or expressing the ratio in three different ways, that you are looking for, these pdfs have them all covered for your grade 5 through grade 8 learners.
Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com. Worksheet by Kuta Software LLC. ©J a2]0e1H8a HKhuKtqa]wSNo`fetdwwa^rjet ILWLTCq.q ` IAclqlf Lr[itgkhFtGsx Wrteysbeurrvuehdl.s R aMKaGdxeH qwyietnhM wIbnTfWixnUi]tjea cAtlHgHe\b]rBaT e1W.
Ratio Wording. 6rp1. This worksheet is designed to enhance children's understanding of mathematical ratios. It contains 12 carefully crafted problems, addressing practical examples such as vote distributions, home ages, combined genders, types of vehicles, clothing items, and game consoles.
Ratio & Proportion: Homework Worksheets. Subject: Mathematics. Age range: 11-14. Resource type: Worksheet/Activity. File previews. docx, 35.8 KB. docx, 18.31 KB. KS3 / GCSE ratio and proportion worksheets ideal for revision or homework. There is a self-assessment section at the end of each worksheet.
Unit test. Level up on all the skills in this unit and collect up to 700 Mastery points! Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.
These Ratio Worksheets will produce problems where the students must write rates and unit rates from word phrases. These ratio worksheets will generate 10 Rates and Unit Rates problems per worksheet. These Ratio Worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade. Ratios and Rates Worksheets.
Chapter 5 Homework Solutions. 5.1-5.3 Extra Practice Worksheet. 5.1 Ratios and Rates . 5.1 Lesson Preso. 5.1 Textbook Exercises: page 167 . Ba: 1-6, 11-27 odd; ... 5.4 Solving Proportions . 5.4 Lesson Preso. 5.4 Textbook Exercises page 190. Ba: 1-3, 5-9 odd, 15-21 odd, 22, 23-27 odd.
This ratio and proportion worksheet features a set of scenario questions to help your children visualize hypothetical problems involving ratio and proportions and relate them to real-life situations. ... Ratio and Proportion Homework Activity Pack. Interactive PDF: White Rose Maths Supporting Year 6: Spring Block 6 Ratio: Ratio and Proportion ...
A proportion is an equation that states that two ratios are equal. For example, if 2/3 is equal to 4/x, then it forms a proportion. Proportions can be solved using cross multiplication. Percents. A percent is a ratio that compares a number to 100. It is often represented using the symbol "%". For example, 25% means 25 out of 100, or 0.25 as a ...