Convert Repeating Decimals

Which of the following are equivalent to 0.333... as a ratio?

• 1/3

• 3/9

• 3/10

• 333/9

What is 0.252525... as a ratio?

• 2/5

• 25/999

• 25/99

• 25/100

What is -0.666... as a ratio?

• -6/99

• -1/3

• -6/10

• 1/3

What is 0.1414... as a ratio?

• 14/99

• 14/9

• 1/4

• 14/100

What is 0.308308... as a ratio?

• 3/8

• 38/99

• 308/1000

• 308/999

What is 0.023023... as a ratio?

• 023/999

• 23/99

• 23/999

• 2/3

What is -0.0404... as a ratio?

• -4/10

• -4/9

• -4/100

• -4/99

0.222222 (repeating decimal) is equivalent to what fraction?

To prove 3.5656..... is a rational number, you can change this number to a fraction. The first step is to set x equal to 3.5656. Next you would multiply x and its value by ___________________-.

• 10

• 100

• 1000

• 1

Prove this is a rational number by converting it to a fraction.

• - 3/100

• - 3/10

• - 1/3

• - 1/33