Question

Express 0.245(BAR UNDER 45)as a fraction in simplest form.

Answer 1

Answer:

$0.2\overline {45} = \frac{ 27}{110}\: \left(\frac{p}{q}\:form \right)$

Step-by-step explanation:

Let x = 0.2454545.... ----(1)

/* multiply equation (1) by 10 ,we get

10x = 2.454545.... -------(2)

/* Multiply equation (2) by 100 , we get

1000x = 245.454545..... ---(3)

Now ,

Subtract equation (2) from equation (3) , we get

=> 990x = 243

$\implies x = \frac{243}{990}$

$\implies x = \frac{ 27}{110}\: \left(\frac{p}{q}\:form \right)$

Therefore,

$x = 0.2\overline {45 }= \frac{ 27}{110}\: \left(\frac{p}{q}\:form \right)$

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