Question

Express 0.235 bar on 5 in the form of p/q are integer and q is not equal to zero

Answer 1

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Answer 2

The required p/q form $0.23\overline{5}=\frac{583}{2475}$

Step-by-step explanation:

Given : Expression $0.23\overline{5}$

To find : Express expression in the form of p/q are integer and q is not equal to zero?

Solution :

Let $x=0.235555....$ ....(1)

Multiply both side by 100,

$100x=23.5555...$ .....(2)

Subtract (1) and (2),

$100x-x=(23.5555....)-(0.23555...)$

$99x=23.32$

$x=\frac{23.32}{99}$

$x=\frac{2332}{9900}$

$x=\frac{583}{2475}$

Therefore, the required p/q form $0.23\overline{5}=\frac{583}{2475}$

#Learn more  

Express 3.42 (bar on 42) in p/q form.

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