Respuesta :

Answer:

[tex]\huge\boxed{\frac{52}{99} }[/tex]

Step-by-step 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

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

[tex]\huge{ \mathfrak{ \underline{question : }}}[/tex]

Write [tex]0.\bar{5}\bar{2}[/tex] as a fraction.

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

let the number [tex]0.\bar{5}\bar{2}[/tex] = x

then, 100x = [tex]52.\bar{5}\bar{2} [/tex]

subtracting x from 100x

  • [tex]100x - x = 52.\bar{5}\bar{2} - 0.\bar{5}\bar{2} [/tex]

  • [tex]99x = 52[/tex]

  • [tex]\boxed{x = \dfrac{52}{99}} [/tex]

[tex]\#TeeNForeveR[/tex]

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