In these worksheets, students will learn identify and create equivalent proportions.

#### A ratio is a comparison of two numbers. A proportion, which is an equation with a ratio on each side, states that two ratios are equal. Use the word 'to' as we write ratio in fraction form with a colon and we compare ratios. Ratio can be equal or equivalent and greater than another. You have a proportional, you have equal ratio. When two equal ratios are making a proportion or having two equal ratio, you create proportion. When we know two ratios are equivalent, you can write a proportion. 1:2 = 2:4 If there are two ratios are equivalent, we can say that two ratios form a proportion. Example #1 - Can these two ratios make a proportion? That are 3/4 and 4 : 24. 4:24 = 4/24 We will reduce the fractions. 4/24 = 1/6. Then, compare the two fractions. 1/6 ≠ 3/4. Then, the answer will exactly be the same. Equivalent ratios make proportion; otherwise, they do not. Use information in the problem when the set of two equivalent fractions to write a proportion. Example #2 : Given: Ratio of girls to boys in a class = 2:3, Number of boys = 24, Number of girls in the class (for writing a proportion) = ? Writing the ratio of the girls to boys. Girls/boys = 2/3. We there are 24 boys in a class so, we will write the statement for proportion. 2/3 = x/24 Find the value of x by cross multiplication. 2/3 = x/24, 3x = 2 × 24, 3x = 48, x = 19.

Your students will find the proportion between a given set of numbers, create equivalent proportions from given sets of numbers, complete ratio word problems, and complete proportions by filling in the blanks in ratios. They will also work with three way ratios. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, reviews, and quizzes. Ample worksheets are provided for students to practice independently. Problems are both at the basic skills and intermediate skills levels. When finished with this set of worksheets, students will be able to recognize, create, and complete both two way and three way proportions. These worksheets explain how to identify and create equivalent proportions. Sample problems are solved and practice problems are provided.

# Equivalent Proportions Worksheets

## Creating Equivalent Proportions Lesson

This worksheet explains how to find the proportion between a given set of numbers. A sample problem is solved, and two practice problems are provided.

## Creating Equivalent Proportions Worksheet

Students will find the proportion between a given set of numbers. Ten problems are provided.

## Practice

Students will practice finding the proportion between a given set of numbers. Ten problems are provided.

## Review

The concept of how to find the proportion between a given set of numbers is reviewed. A sample problem is solved and six practice problems are provided.

## Quiz

Students will demonstrate their proficiency in calculating the determinant of a 2x2 matrix using simple cross multiplication and subtraction. Ten problems are provided.

## Check

Students will find the proportion between a given set of numbers. Three problems are provided, and space is included for students to copy the correct answer when given.

## Making Equivalent Proportions Lesson

This worksheet explains how to create two equivalent proportions from a given set of numbers. A sample problem is solved.

## Lesson and Practice

This worksheet explains how to create two equivalent proportions from a given set of numbers. A sample problem is solved and two practice problems are provided.

## Worksheet

Students will create two equivalent proportions from a given set of numbers. Ten problems are provided.

## Making Equivalent Proportions Practice

Students will practice creating two equivalent proportions from a given set of numbers. Ten problems are provided.

## Drill

Students will create two equivalent proportions from a given set of numbers. Ten problems are provided.

## Warm Up

Students create two equivalent proportions from a given set of numbers. Three problems are provided.

## Equivalent Proportions Lesson

This worksheet explains how to determine whether two ratios are proportional. A sample problem is solved, and two practice problems are provided.

## Equivalent Proportions Worksheet

Students will determine whether two ratios are proportional. Ten problems are provided.

## Practice

Students will practice determining whether two ratios are proportional. Ten problems are provided.

## Review Page 1

The concept of how to determine whether two ratios are proportional is reviewed. A sample problem is solved.

## Review Page 2

Students will determine whether two ratios are proportional. Six practice problems are provided.

## Quiz

Students will demonstrate their proficiency in determining whether two ratios are proportional. Ten problems are provided.

## Check

Students will determine whether two ratios are proportional. Three problems are provided, and space is included for students to copy the correct answer when given.

## Are Proportions Equivalent Basic Skills Worksheet

Students will use basic skills to determine whether the given proportions are equivalent. Ten problems are provided.

## Are Proportions Equivalent Intermediate Skills Worksheet

Students will use intermediate-level skills to determine whether the given proportions are equivalent. Ten problems are provided.

## Independent Practice

Students will determine whether the given proportions are equivalent. Ten problems are provided.

## Intermediate Skills Sheet 3

See if you can figure out the relationship these ratios have?

## Proportion Equality Lesson

This worksheet explains how to state whether two ratios are in proportion. A sample problem is solved.

## Proportion Equality Lesson and Practice

This worksheet explains how to state whether two ratios are in proportion. A sample problem is solved and two practice problems are provided.

## Proportion Equality Worksheet

Students will state whether two ratios are in proportion. Ten problems are provided.

## Practice

Students will practice stating whether two ratios are in proportion. Ten problems are provided.

## Drill

Students will state whether two ratios are in proportion. Ten problems are provided.

## Warm Up

Students will state whether two ratios are in proportion. Three problems are provided.

## Three Way Ratios Worksheet

Students will refer to pictures to write requested ratios as a ratio, a fraction and as words. Ten problems are provided.

## More Three Way Ratios Worksheet

Students will write requested ratios as a ratio, a fraction and as words. Ten problems are provided.

## Making Ratios Worksheet

Students will fill in the blanks to complete the ratio word problems. Ten problems are provided.

## Completing Ratios Worksheet

Students will complete the ratios by filling in the blanks. Ten problems are provided.

## Equivalent Ratios Worksheet

Students will fill in each table with equivalent ratios. Ten problems are provided.

## Equivalent Ratios Worksheet #2

This is basically a fill in the blank worksheet.