# Writing Proportions

#### Grade 7 Math Worksheets

**To write a proportion, you need to identify two equivalent ratios and set them equal to each other.**

Table of Contents:

- Writing Proportions
- Solved Examples
- FAQs

**Personalized Online Tutoring**

## Writing Proportions - Grade 7 Math Worksheet PDF

This is a free worksheet with practice problems and answers. You can also work on it online.

Sign up with your email ID to access this free worksheet.

### "We really love eTutorWorld!"

*"We really love etutorworld!. **Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)*

### "My daughter gets distracted easily"

*"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.*

* With the help of Etutorworld, my daughter has been now selected in *

*the*

**Gifted and Talented Program**for the school district"*- Nivea Sharma (via TrustSpot.io)*

## Writing Proportions

To write a proportion, you need to identify two equivalent ratios and set them equal to each other.

#### Here are the steps to write a proportion:

**Identify two equivalent ratios:** Look at the problem and identify two ratios that are equal to each other.

For example, if you are given the problem “John can run 5 miles in 45 minutes. How long will it take him to run 8 miles?”, you can identify the ratio of miles to time as 5/45 and the ratio of miles to time for the 8-mile run as 8/x.

Set the ratios equal to each other: Once you have identified the two equivalent ratios, set them equal to each other. This gives you the proportion:

5/45 = 8/x

Simplify the proportion: To simplify the proportion, you can cross-multiply and then solve for the unknown variable x. In this case, you would multiply 5 by x to get 5x and 45 by 8 to get 360. This gives you:

5x = 360

x = 72

So, it would take John 72 minutes to run 8 miles.

**Here’s another example:**

Suppose you are given the problem “If 5 gallons of gas cost $16.25, how much will 7 gallons cost?” To write a proportion, you can identify the ratio of gallons to cost as 5/$16.25 and the ratio of gallons to cost for the 7-gallon purchase as 7/x. Setting these ratios equal to each other gives you the proportion:

5/$16.25 = 7/x

To solve for x, you can cross-multiply and simplify:

5x = $113.75

x = $22.75

So, 7 gallons of gas would cost $22.75.

*“**There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt. *

*Our kid is doing much better with a higher score.**”*

### 7th Grade Tutoring

eTutorWorld offers **Personalized Online Tutoring** for Math, Science, English, and Standardised Tests.

Our Tutoring Packs start at just under** $21 per hour**, and come with a moneyback guarantee.

**Schedule a FREE Trial Session**, and experience quality tutoring for yourself. (No credit card required.)

## Solved Examples

Sure, here are some solved examples of proportions:

**Example 1:** If it takes 3 hours for 5 people to paint a house, how long will it take 8 people to paint the same house?

**Solution:** Let’s write a proportion to solve the problem. We know that the number of people painting the house is directly proportional to the time taken to paint it. So, we have:

3 hours / 5 people = x hours / 8 people

Now, let’s cross-multiply and solve for x:

3 hours * 8 people = 5 people * x hours

24 hours = 5x

x = 4.8 hours

Therefore, it would take 8 people 4.8 hours to paint the same house.

**Example 2:** A recipe calls for 2 cups of flour for every 3 cups of sugar. How many cups of flour are needed if you use 5 cups of sugar?

**Solution:** We can write a proportion to solve this problem as follows:

2 cups flour / 3 cups sugar = x cups flour / 5 cups sugar

Cross-multiplying and solving for x, we get:

2 cups flour * 5 cups sugar = 3 cups sugar * x cups flour

10 cups flour = 3 cups sugar * x cups flour

x = 10 / 3

So, we need 3 1/3 cups of flour if we use 5 cups of sugar in the recipe.

**Example 3:** If a recipe calls for 1 tablespoon of salt for every 4 cups of flour, how many tablespoons of salt are needed if you use 8 cups of flour?

**Solution:** We can write a proportion to solve this problem as follows:

1 tablespoon salt / 4 cups flour = x tablespoons salt / 8 cups flour

Cross-multiplying and solving for x, we get:

1 tablespoon salt * 8 cups flour = 4 cups flour * x tablespoons salt

8 tablespoons salt = 4x

x = 2

So, we need 2 tablespoons of salt if we use 8 cups of flour in the recipe.

## Formula

The general formula for writing a proportion is:

**a/b = c/d**

where a, b, c, and d are numbers or variables.

To solve a proportion for an unknown variable, you can cross-multiply and simplify to get:

**a * d = b * c**

and then solve for the unknown variable.

### Do You Stack Up Against the Best?

If you have 30 minutes, try our free diagnostics test and assess your skills.

## Writing Proportions FAQS

##### What is a proportion in math?

A proportion is a statement that two ratios are equal. It is used to compare two quantities or values and express their relationship in a fraction form.

##### How do you know if two ratios are in proportion?

Two ratios are in proportion if their cross-products are equal. For example, if a/b = c/d, then a * d = b * c, which means the ratios are in proportion.

##### What are some real-life examples of proportions?

Proportions can be found in many real-life situations, such as cooking recipes, mixing solutions, calculating proportions of ingredients, and determining the scale of maps or models.

##### How do you use proportions to solve problems?

To use proportions to solve problems, you need to set up a proportion with the given values and the unknown value, and then solve for the unknown by cross-multiplying and simplifying the equation.

##### What is the difference between a direct proportion and an inverse proportion?

In a direct proportion, two quantities increase or decrease together at the same rate, while in an inverse proportion, one quantity increases as the other decreases, and vice versa. For example, the distance traveled by a car is directly proportional to the time elapsed, while the speed of the car is inversely proportional to the time elapsed.

**Gloria Mathew** writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

### Affordable Tutoring Now Starts at Just $21

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a **FREE TRIAL **Session with us today.

**There is no purchase obligation or credit card requirement*

## Grade 7 Science Worksheets

- Elements and Compounds
- Solar Energy
- Photosynthesis
- Electricity and Magnetism
- Law of conservation of energy
- Periodic table
- Properties of Matter
- Waves
- Energy Resources
- Weather and Climate
- Immune, Circulatory and Digestive Systems
- Organs in Multi-cellular Organism
- Sedimentary, Igneous, and Metamorphic Rocks
- Structure of the Earth
- Law of Conservation of Mass
- Physical and Chemical Changes
- Scientific Method
- Human Digestive System
- Environmental Science
- Renewable and Non-renewable energy Resources
- Characteristics of Living Organisms
- Life Science
- Earth and Space Science
- Solar Eclipse
- Heat Technology
- Newton’s Laws of Motions
- Physical Science
- Tools, Measurement and SI Units
- Earth Atmosphere
- Interactions of Living things
- The Earth Ecosystem
- Organelles in Plant and Animal cells
- Layers of the Earth
- Cycles in Nature

## Grade 7 Math Worksheets

- Fractions
- Linear equations word problems
- Statistics
- Properties of Parallel Line
- Finding slope from an equation
- Identifying Quadrilaterals
- Percent Change
- Properties of addition and multiplication
- Pythagorean Theorem
- Solving two step inequalities
- Symmetry
- Fractions to Decimals (New)
- Whole Number Exponents with Integer Bases (New)
- Adding and Subtracting Fractions (New)
- Integer Addition and Subtraction (New)
- Dividing Mixed Numbers (New)
- Basics of Coordinate Geometry (New)

## IN THE NEWS

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

**Online test prep and practice**

SCAT

CogAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

**Quick links**

Free Worksheets

Fact sheet

Sales Partner Opportunities

Parents

Passive Fundraising

Virtual Fundraising

Our Expert Tutors

Safe and Secure Tutoring

Interactive Online Tutoring

After School Tutoring

Elementary School Tutoring

Middle School Tutoring

High School Tutoring

Home Work Help

Math Tutors New York City

Press

©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2022 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird