In these worksheets, students will learn to recognize whether a given set of ratios is proportional.

#### A ratio is a a comparison of two numbers. A proportion, which is an equation with a ratio on each side, states that two ratios are equal. We use ratios to compare values and to measure the intensity of their comparison. For example, total six puppies in which two are girls and four are boys. Then, the ratio will be 2:4 (girls : boys) and you can express it in fraction form as well like this 2/4. Proportions tell you two ratios are equal to each other or not. Here, we will use the example of the above to see how proportions work for our puppies. The first ratio of boys : girls that is 2:4. If we have next ratio is 4:8, you will see the proportional answer would be equal to each other that is 2/4 = 0.5 and 4/8 = 0.5. In this way, your ratios will be proportional by dividing them into the same way. The values become equal when things are proportional. The sizes of the things make a difference. Ratios become proportional when they express the similar relation. You can find out two ratios are proportional by writing them as fractions and then, you will simplify them. If simplified fractions are the same, it means the ratios are proportional. Ratios are always proportional when they show their relationship same. If you see two proportional ratios, you will write them as fractions and reduce them. In this case, ratios will become proportional when fractions are same. Example: Fractions are same that is 3/4 = 6/8. It means ratios will also have the same ratio that is 3 to 4 and 6:4. We will verify the statement to know the proportional ratio by cross product. 3 × 8 = 4 × 6. They both are equal as both sides have the same answer that is 24. A ratio shows a connection between two or a pair of digits. It determines the quantity of the first compared to the second. For instance, the ratio of the four legs of mammals is 4:1 and the ratio of humans from legs to noses is 2:1. You can write all the ratios in the fractional expression. That is why, we will compare three boys with five girls that you can write the ratios 3:5 or 3/5. Again, these examples have proved that ratios become equal while quantities are equal. For example, the ratio between 2/5 and 8/20 have a proportional relationship. Remember, equivalent fractions are 4/10 and 12/30 as you can simplify both by 2/5.

In these worksheets, your students will determine whether pairs of ratios are proportional. Two types of methods are presented. In the first method, students will use cross multiplication to verify equality. In the second method, they will simplify fractions to verify equality. The problems ask for yes or no answers; however, students may require additional paper in order to show their work. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. Ample worksheets are also provided for students to practice independently. When finished with this set of worksheets, students will be able to recognize whether a given set of ratios is proportional. These worksheets explain how to determine whether a given set of ratios is proportional. Sample problems are solved and practice problems are provided.

# Proportional Ratios Worksheets

## Lesson

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

## Are These Proportional Worksheet

Students will state whether the given ratios are proportional by using cross multiplication. Ten problems are provided.

## Practice

We will get more work on determine the equivalence of the stated values. Ten problems are provided.

## Review Page 1

The concept that we have explored in this topic are fully reviewed. A sample problem is solved.

## Review Page 2

We put you to work on these types of exercises. Six practice problems are provided.

## Quiz

Students will demonstrate their proficiency with this skill. Ten problems are provided.

## Check

This is a great sheet for teachers to use with their entire class. Three problems are provided, and space is included for students to copy the correct answer when given.

## Lesson

This worksheet explains how to compare these two sets of values and determine if a level of equivalence exists. A sample problem is solved.

## Lesson and Practice

Students will find if the given ratios are in proportion (simplifying fractions). A sample problem is solved and two practice problems are provided.

## Are These Ratios Proportional Worksheet

Ten problems for you to get into and push your knowledge of the concepts forward. Ten problems are provided.

## Practice

Students will practice finding if the given ratios are in proportion (simplifying fractions). Ten problems are provided.

## Drill

We practice more on the skill of simplifying fractions to see if a level of equivalence exists. Eight problems are provided.

## Warmup Sheet

Some of these are way out there, but are just right for this level.