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
The decimal value of
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
First, convert
Then, convert
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
Then, convert the fraction to a decimal.
The decimal value of
The other way is to use division. Divide 1 by 4. Use zero place holders if needed.
The decimal value of
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
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
Example 5
Convert the fraction to a decimal.
Divide the numerator by the denominator. Use zero placeholders if needed.
The decimal value of
Review
Convert the following fractions as decimals.

310 23100 9100 810 1821000 25100 610 1251000 110 2100 12 14 34 36  \begin{align*}\frac{3}{5}\end{align*}
Review (Answers)
To see the Review answers, open this PDF file and look for section 5.19.
Resources