Question

Express 0.4747474747 in the form of p/q

Answer 1

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Answer 2

$\displaystyle \bf{0.4747474747... = \frac{47}{99} }$

Which is of the form p/q where p , q are integers and q ≠ 0

Given :

The number 0.4747474747...

To find :

To express in the form p/q

Solution :

Step 1 of 2 :

Write down the given number

The given number is 0.4747474747...

Step 2 of 2 :

Express in the form p/q

Let x = 0.4747474747... - - - - - - - (1)

Multiplying both sides by 100 we get

100x = 47.4747474747... - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 47

$\displaystyle \sf{ \implies x = \frac{47}{99} }$

$\displaystyle \sf{ \therefore \: \: 0.4747474747... = \frac{47}{99} }$

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