Converting repeating decimals to fractions

Front

Convert 4.363636... to a fraction.

Back

48/11

Front

A ______ decimal has a finite number of digits, meaning that after a so many places, the decimal ends.

Back

terminating

Front

Convert 0.188888... to a fraction.

Back

17/90

Front

A ______ decimal is a decimal in which a digit, or a group of digits, repeat(s) infinitely.

Back

repeating

Front

Back

11/30

Front

What is a repeating decimal?

Back

A decimal that has one or more digits that repeat infinitely.

Front

What is a terminating decimal?

Back

A decimal that has a finite number of digits.

Front

How do you convert a repeating decimal to a fraction?

Back

Let x = the repeating decimal, multiply by a power of 10 to shift the decimal, subtract to eliminate the repeating part, and solve for x.

Front

Convert 0.666... to a fraction.

Back

2/3

Front

Convert 0.25 to a fraction.

Back

1/4