Question

Express 0.bar 36 in p/q form is​

Answer 1

Step-by-step explanation:

4/11

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Answer 2

Answer:

.

Step-by-step explanation:

Express $\sf0.\overline{36}$ in p/q form

$\large\underline{\sf{Solution-}}$

Given that:

$\longmapsto\sf0.\overline{36}$

Let this be equal to x.

So,

$\longmapsto\sf x=0.\overline{36}- - - -(1)$

Multiplying both side by 100,

$\longmapsto\sf 100x=36.\overline{36}- - - -(2)$

Subtracting (2) from (1),

$\longmapsto\sf 100x-x=36.\overline{36}-0.\overline{36}$

$\longmapsto\sf 99x=36$

So,

$\longmapsto\sf x=\dfrac{36}{99}$

Dividing by 9,

$\sf\longmapsto x=\dfrac{4}{11}$

Hence,

$\sf\longmapsto\bf0.\overline{36}=\dfrac{4}{11}$