what is 1.21 repeating as a fraction?

Question

errinss · Answer

@jigglypuff314  can you help me?

thesmartone · Answer

Which part is repeating?

errinss · Answer

.21

thesmartone · Answer

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 $1.\bar{21}$