The following activity sheets give your students an introduction to converting between percentages and fractions.

#### Typically, fractions are identified by two numbers written on either side of an oblique. The number written on the upper side is known as the numerator, and the one written below is the denominator. The denominator shows the number of parts comprising a whole, and the numerator represents number of those parts. For example, the fraction 4/7 represents the seven parts forming one whole, and this fraction has four parts. If you wanted to calculate the percentage of this fraction, we need to know how to do the decimal conversion of the percentage and how to multiply decimal form by a fraction. We divide the given percentage value by 100 to get the decimal form. For example, for finding 20 percentage of 5/7, we will first divide 20 by 100 to have 0.2 then, we will multiply the decimal value by the numerator of your fraction. For this example, multiply 0.2 by 5 to have 1. Now, substitute the obtained result over the denominator. For this example, we will put 1 over 7 to get 1/7 equals 20 percent of 5/7.

When you want to make a percentage a fraction, it is pretty simple just place the percentage value over one-hundred. Many times you will want to simplify that fraction by finding a factor that evenly divides into both the numerator and denominator. Before early 2001 the U.S. stock markets reported all values in fractional form. When the New York Stock Exchange was created it was based on the Spanish trading system which was in fractional form. These worksheets explain how to convert between percentages and fractions and how to find specific percentages of given values. Students will also be asked to find specific percentages of given values.

# Converting Between Percentages and Fractions Worksheets

## Fractions and Percents Lesson

We walk you through all of the steps needed for conversion. Step 1 - We are given a fraction where the denominator is 100. Step 2 - Percent is a way of expressing a number as a fraction of 100. Step 3 - Here, the number is 51 or the numerator of the fraction. Step 4 - Therefore, the percent is 51 or the fraction can be written as 51%. A sample problem is solved.

## Lesson and Practice

Write the equivalent fractions with hundredth parts as percentages. Step 1 We are given a fractions 2/5. Step 2 We multiply the numerator and denominator such that the denominator is 100. We multiply the numerator and denominator by 20. Step 3 We get 40/100 where the numerator is 40 and the denominator is 100. Step 4 Since percentage is the way of expressing the number as a fraction of 100. Step 5 Here, we get 40% as the equivalent percentage.

## Worksheet

Students will convert fractions to percentages. Ten problems are provided.

## Practice

We will practice converting fractions with units at the hundredths place to percentages. Ten problems are provided.

## Drill

Students develop skill in finding the value of the specified percentage of each given number. We use all types of different units in the process. Eight problems are provided.

## Warm Up

Write the colored part of the series of pie diagrams as a percentage. Three problems are provided.

## Percentages to Fractions Worksheet

Students will convert percentages (that go to the tenths place) to fractions. Ten problems are provided.

## Practice

Students will practice converting values from one form to another. Ten problems are provided.

## Drill

You get some more time working on the concepts and skills that we have set forth for you. Ten problems are provided.

## Ratios and Percents Lesson

This worksheet explains the process of how to change a ratio (fraction) to a percentage. A sample problem is solved.

## Lesson and Practice

Express the given ratio in lowest terms. It should be reduced until it cannot be reduced anymore. To reduce, divide numerator and denominator by a term that divides both of them exactly. A sample problem is solved and two practice problems are provided.

## Worksheet

Students will convert values based on the procedures we have learned thus far. Ten problems are provided.

## Practice

Students will practice finding the indicated percentage of each given number. Ten problems are provided.

## Drill

Students will express each phrase as a percentage. Eight problems are provided.

## Warm Up

This worksheet serves as a good way to review or introduce all the skills that we have seen here. Three problems are provided.