Question

Express 1.35 53535 in the form of p by q where p and q are integers and q is not equal to zero​

Answer 1

Answer:

135/99

Step-by-step explanation:

x=1.3535353535..............

100x=135.353535353.................

     x=    0.3535353535..................

subtract them

99x= 135

x=  135/99

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Answer 2

$\displaystyle \sf{1.35353535... = \frac{134}{99} }$

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

Correct question : Express 1.35353535... in the form p/q where p , q are integers and q ≠ 0

Given :

The number 1.35353535...

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 1.35353535...

Step 2 of 2 :

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

Let x = 1.35353535... - - - - - - - (1)

Multiplying both sides by 100 we get

100x = 135.35353535... - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 134

$\displaystyle \sf{ \implies x = \frac{134}{99} }$

$\displaystyle \sf{ \therefore \: \: 1.35353535... = \frac{134}{99} }$

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

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