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# Decimals Help

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## Converting Decimals to Fractions

A decimal number is a fraction in disguise: and or . The number in front of the decimal point is the whole number (if there is one) and the number behind the decimal point is the numerator of a fraction whose denominator is a power of ten. The denominator will consist of 1 followed by one or more zeros. The number of zeros is the same as the number of digits behind the decimal point.

### Terminating and Nonterminating Decimals

There are two types of decimal numbers, terminating and nonterminating . The above examples and practice problems are terminating decimal numbers. A nonterminating decimal number has infinitely many nonzero digits following the decimal point. For example, 0.333333333 … is a nonterminating decimal number. Some nonterminating decimal numbers represent fractions . But some nonterminating decimals, like π = 3.1415926654 … and , do not represent fractions. We will be concerned mostly with terminating decimal numbers in this book.

You can add as many zeros at the end of a terminating decimal number as you want because the extra zeros cancel away.

### Decimals Practice Problems

#### Practice

Rewrite as a fraction. If the decimal number is more than 1, rewrite the number both as a mixed number and as an improper fraction.

1. 1.71 =

2. 34.598 =

3. 0.6 =

4. 0.289421 =

#### Solutions

Practice problems for this concept can be found at: Algebra Decimals Practice Test.

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