Question

Hlo I am Nisha Joshi please ye vala bhi batadegye the question is:- express 1.323232.....+ 0.353535..... in the form of p/q where p and q are integer and q is not equal to zero.

Answer 1

= > 1.3232323232..... + 0.3535353535.....


= > 1.6767676767676767..........


= > 1.$\bar{67}$



Now, let x =1. $\bar{67}$


As there are two numbers under bar, multiply by 100 on both sides,


100 × x = 100 × 1.$\bar{67}$


100 x = 167.$\bar{67}$


Subtracting x from both sides :


100 x = 167.$\bar{67}$

- x = 1.$\bar{67}$
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99 x = 166 { bar cancel }
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$x = \dfrac{166}{99}$





Therefore, 1.32323232...... + 0.35353535.... in p / q form is $\dfrac{166}{99}$