Ch. 3-2 Convert Decimals To Fractions

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal number that has a finite number of digits after the decimal point, such as 0.5 or 0.75.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal number that has one or more digits that repeat infinitely, such as 0.333... or 0.252525... .

Front

How do you convert a terminating decimal to a fraction?

Back

To convert a terminating decimal to a fraction, write the decimal as a fraction with the decimal number as the numerator and a power of 10 as the denominator, then simplify.

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, and solve for the variable.

Front

Convert 0.75 to a fraction.

Back

3/4

Front

Convert 0.2 to a fraction.

Back

1/5

Front

Convert 0.333... to a fraction.

Back

1/3

Front

Convert 0.666... to a fraction.

Back

2/3

Front

Convert 0.125 to a fraction.

Back

1/8

Front

Convert 0.875 to a fraction.

Back

7/8