Converting Repeating Decimals to Fractions

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats a digit or a group of digits indefinitely.

Front

How do you convert a repeating decimal to a fraction?

Back

1. Let x equal the repeating decimal. 2. Multiply x by a power of 10 to shift the decimal point to the right. 3. Subtract the original x from this new equation to eliminate the repeating part. 4. Solve for x.

Front

Convert 0.666... to a fraction.

Back

2/3

Front

What is the fraction equivalent of 0.25?

Back

1/4

Front

Convert 0.333... to a fraction.

Back

1/3

Front

What is the fraction equivalent of 0.5?

Back

1/2

Front

Convert 0.101010... to a fraction.

Back

1/9

Front

What is the first step in converting a repeating decimal to a fraction?

Back

Let x equal the repeating decimal.

Front

Convert 0.777... to a fraction.

Back

7/9

Front

What is the fraction equivalent of 0.875?

Back

7/8