Question

express 0.353535....... I'm the form of p÷q ,where p and a are integers and q is not = to 0

Answer 1

$\displaystyle \bf{0.353535... = \frac{1}{3} }$

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

Given :

The number 0.353535...

To find :

To express in the form p/q where p , q are integers and q ≠ 0

Solution :

Step 1 of 2 :

Write down the given number

The given number is 0.353535...

Step 2 of 2 :

Express in the form p/q where p , q are integers and q ≠ 0

Let x = 0.353535... - - - - - - - (1)

Multiplying both sides by 100 we get

100x = 35.353535... - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 35

$\displaystyle \sf{ \implies x = \frac{35}{99} }$

$\displaystyle \sf{ \therefore \: \: 0.353535... = \frac{35}{99} }$

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

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