Changing repeating decimals to fractions

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats a digit or a group of digits indefinitely.

Front

Convert 0.333... to a fraction.

Back

1/3

Front

How do you convert a repeating decimal to a fraction?

Back

Let x be the repeating decimal. Multiply x by a power of 10 to shift the decimal point, then subtract the original x from this equation to eliminate the repeating part.

Front

Convert 0.666... to a fraction.

Back

2/3

Front

What is the decimal equivalent of 1/4?

Back

0.25

Front

Convert 0.125 to a fraction.

Back

1/8

Front

What is the decimal equivalent of 3/4?

Back

0.75

Front

Convert 0.2 to a fraction.

Back

1/5

Front

What is the decimal equivalent of 2/5?

Back

0.4

Front

Convert 0.75 to a fraction.

Back

3/4