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

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

Front

Convert 0.333... to a fraction.

Back

1/3

Front

Convert 0.666... to a fraction.

Back

2/3

Front

What is the fraction equivalent of 0.25?

Back

1/4

Front

Convert 0.5 to a fraction.

Back

1/2

Front

Convert 0.75 to a fraction.

Back

3/4

Front

What is the fraction equivalent of 0.1 repeating (0.111...)?

Back

1/9

Front

Convert 0.2 repeating (0.222...) to a fraction.

Back

2/9

Front

What is the fraction equivalent of 0.142857 repeating (0.142857...) ?

Back

1/7