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Changing Decimals to Fractions Help

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By — McGraw-Hill Professional
Updated on Sep 21, 2011

Changing Decimals to Fractions

To change a terminating decimal to a fraction, drop the decimal point and place the digits to the right of the decimal in the numerator of a fraction whose denominator corresponds to the place value of the last digit in the decimal. Reduce the answer if possible .

Examples

Example 1

Change 0.8 to a fraction.

Solution 1

Changing Decimals to Fractions

Hence, Changing Decimals to Fractions

Example 2

Change 0.45 to a fraction.

Solution 2

Changing Decimals to Fractions

Hence, Changing Decimals to Fractions

Example 3

Change 0.0035 to a fraction.

Solution 3

Changing Decimals to Fractions

Hence, Changing Decimals to Fractions

Rational Numbers

Changing a repeating decimal to a fraction requires a more complex procedure, and this procedure is beyond the scope of this book. However, Table 5-1 can be used for some common repeating decimals.

Changing Decimals to Fractions

Table 5-1 Common repeating decimals

The numbers that include the fractions and their equivalent terminating or repeating decimals are called rational numbers . Remember that all whole numbers and integers can be written as fractions, so these numbers are also rational numbers.

Changing Decimals to Fractions Practice Problems

Practice

Change each of the following decimals to a reduced fraction:

1. 0.7

2. 0.06

3. 0.45

4. 0.875

5. 0.0015

Answers

1. Changing Decimals to Fractions

2. Changing Decimals to Fractions

3. Changing Decimals to Fractions

4. Changing Decimals to Fractions

5. Changing Decimals to Fractions

Practice problems for these concepts can be found at: Decimals Practice Test.

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