Michelle and Terry are shooting hoops. Michelle made 7 out of the last 10 shots. Terry made 6 out the last 8 shots. Compare their results using decimals. Who had better results?

In this concept, you will learn to convert fractions to decimals.

### Converting Fractions to Decimals

Decimals and fractions both represent quantities that are part of a whole. Fractions can also be converted to a decimal number. There are two ways to convert a fraction to a decimal.

The first way is to think in terms of place value. If a fraction that has ten as a denominator, you can think of that fraction as tenths. Here is a fraction of a tenth and the decimal equivalent.

There is one decimal place in tenths, so this decimal is accurate. This is a very useful method when the denominator is a **base ten** value like:

Here is a fraction with a base ten value of 1,000.

There are three decimal places in a thousandth decimal. There are three digits in the numerator. This fraction converts easily to a decimal.

The second way is to use division. The **fraction bar** is also a symbol for division. The numerator is the dividend and the denominator is the divisor.

Here is another fraction.

To change to a decimal number, divide 3 by 5. Remember that you are looking for a decimal number. Use zero placeholders to help find the decimal value.

The decimal value of is .

### Examples

#### Example 1

Earlier, you were given a problem about Michelle and Terry playing basketball.

Michelle made 7 out of the last 10 shots and Terry made 6 out the last 8 shots. 7 out of 10 is also . 6 out of 8 is also . Convert the fractions to decimals and compare their results.

First, convert to a decimal. The denominator is a base ten number.

Then, convert to a decimal. Divide 6 by 8.

Next, compare the decimals. The better player has the larger decimal number.

Terry made more of his shots than Michelle.

#### Example 2

Write the following fraction as a decimal.

One way is to use base ten values. First, find an equivalent fraction of with a denominator of 100.

Then, convert the fraction to a decimal. is also 25 hundredths.

The decimal value of is 0.25.

The other way is to use division. Divide 1 by 4. Use zero place holders if needed.

The decimal value of is 0.25.

#### Example 3

Convert the fraction to a decimal.

This fraction has a base ten value in the denominator. Place the 8 in the tenth place.

The decimal value of is .

#### Example 4

Convert the fraction to a decimal.

This fraction has a base ten value in the denominator. Place 5 in the hundredths place.

The decimal value of is .

#### Example 5

Convert the fraction to a decimal.

Divide the numerator by the denominator. Use zero placeholders if needed.

The decimal value of is .

### Review

Convert the following fractions as decimals.

### Review (Answers)

To see the Review answers, open this PDF file and look for section 5.19.

### Resources