Convert 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 x from this new equation to eliminate the repeating part. 4. Solve for x.

Front

Convert 0.8282828282828... to a fraction.

Back

82/99

Front

Convert 2.31313131313131 to a fraction.

Back

2 31/99

Front

Convert 0.1818181818... to a fraction.

Back

2/11 or 18/99

Front

Convert 1.444444444444... to a fraction.

Back

1 4/9

Front

Convert 0.11111111111... to a fraction.

Back

1/9 or 11/99

Front

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

Back

Let x equal the repeating decimal.

Front

What does the notation 0.333... represent?

Back

It represents the repeating decimal equivalent to the fraction 1/3.

Front

What is the fraction equivalent of 0.666... ?

Back

2/3