Pre-Algebra Demystified

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Changing Fractions to Decimals


A fraction can be converted to an equivalent decimal. For example^14 ¼0.25.
When a fraction is converted to a decimal, it will be in one of two forms: a
terminating decimalor arepeating decimal.
To change a fraction to a decimal, divide the numerator by the denominator.

EXAMPLE

Change^34 to a decimal.

SOLUTION

: 75

4 Þ 3 : 00

28

20

20

0

Hence,^34 ¼0.75.

EXAMPLE

Change^58 to a decimal.

SOLUTION

: 625

8 Þ 5 : 000

48

20

16

40

40

0

Hence,^58 ¼0.625.

94 CHAPTER 5 Decimals

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