Question

what is 1.21 repeating as a fraction?

Answer 1

@jigglypuff314 can you help me?

Answer 2

Which part is repeating?

Answer 3

.21

Answer 4

Here's an example on how to do it:

\(x = 0.\bar{5}\)
(where 5 is repeating)

Multiply both sides by 10

\(10x = 5.\bar{5}\)

Now, subtract \(0.\bar{5}\) from both sides

\( 10x - 0.\bar{5} = 5.\bar{5} - 0.\bar{5}\)

\( 10x - 0.\bar{5} = 5\)

Remember in the beginning we said that \( x = 0.\bar{5}\), replace it on the left hand side

\(10x - x = 5\)

\( 9x = 5\)

\( x = \frac{5}{9}\)

So \(0.\bar{5}\) is equal to \(\Large\frac{5}{9}\)

Use this method to change \( 0.\bar{21}\) into a fraction and then add 1 to the fraction since we were given \(1.\bar{21}\)