Changing repeating decimals to fractions

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence 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 equation 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 0.79?

Back

79/100

Front

Convert 1.5555... to a fraction.

Back

1 5/9

Front

What is the fraction equivalent of 0.5?

Back

1/2

Front

Convert 0.1 repeating (0.111...) to a fraction.

Back

1/9

Front

What is the fraction equivalent of 0.875?

Back

7/8