Writing Repeating Decimals as Fractions

WRITE REPETING DECIMALS AS FRACTIONS

Decimals

Decimals terminating and repeating

1. Some decimals are terminating decimals because the decimals come to an end.

2. Other decimals are repeating decimals because one or more digits repeat forever. 

STEPS

1. Assign a variable to represent the repeating decimal.

2. write an equation:varibable=decimal

3. multiply each side of the equation by 10^d, where d is the number of repeating digits in the repearing decimal

4. subtract equivalent expressions of the variable and the repeating decimal from each side of the equatio

5. solve for the variable. write an equivalent fraction so that the numerator and denominator are integers, if necessary

Write decimals as fractions