Question

30 POINTS!! PLEASE GIVE CORRECT ANSWER!

Answer 1

`\huge{ \mathfrak{ \underline{question : }}}`

Write
`0.\bar{5}\bar{2}` as a fraction.

`\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}`

let the number
`0.\bar{5}\bar{2}` = x

then, 100x =
`52.\bar{5}\bar{2}`

subtracting x from 100x

• 
  `100x - x = 52.\bar{5}\bar{2} - 0.\bar{5}\bar{2}`

• 
  `99x = 52`

• 
  `\boxed{x = (52)/(99)}`

`\#TeeNForeveR`

Answer 2

`\huge\boxed{(52)/(99) }`

Explanation:

Let

x = 0.52525252.......... ---------------------(1)

Multiplying both sides by 100

100x = 52.5252525252....... ---------------(2)

Subtract Eq. (1) from (2)

100x - x = 52.52... - 0.5252........

99x = 52

Dividing both sides by 99

x = 52 / 99

`\rule[225]{225}{2}`

Hope this helped!

~AH1807