Covert 2727... to a fraction

What is the first step when converting a repeating decimal like 0.2727... into a fraction?

• Set the decimal equal to x

• Multiply the decimal by 100

• Subtract two equations

• Simplify the fraction

To move the decimal point so that the repeating digits (27) are just to the left of the decimal point in 0.2727..., what number should you multiply by?

• 10

• 100

• 1000

• 1

If you have the equations 100x = 27.2727... and x = 0.2727..., what do you get when you subtract the second equation from the first?

• 99x = 27

• 101x = 27

• 99x = 0

• 100x = 27

What is the simplified fraction for the repeating decimal 0.2727...?

• 27/99

• 3/11

• 9/33

• 1/4