**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**

Hence,

**Example 2**

Change 0.45 to a fraction.

**Solution 2**

Hence,

**Example 3**

Change 0.0035 to a fraction.

**Solution 3**

Hence,

**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.

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.

2.

3.

4.

5.

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

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