Repeating Decimals to Fractions Practice

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

To convert a repeating decimal to a fraction, let x equal the decimal, multiply by a power of 10 to shift the decimal point, subtract the original equation from this new equation, and solve for x.

Front

Convert 0.333... to a fraction.

Back

1/3

Front

Convert 0.666... to a fraction.

Back

2/3

Front

Convert 0.101010... to a fraction.

Back

1/9

Front

What is the formula for converting a repeating decimal of the form 0.ababab... to a fraction?

Back

The formula is (ab)/(99) where ab is the repeating part.

Front

Convert 0.252525... to a fraction.

Back

25/99

Front

Convert 2.313131... to a fraction.

Back

2 31/99

Front

What is the simplified form of 4313/9999?

Back

4313/9999 is already in its simplest form.

Front

Convert 0.181818... to a fraction.

Back

18/99 or 2/11