Question

if 0.7bar =p/q, then p+q

Answer 1

P/Q is 7/9 then P+Q is 7+9 is equals 16

Answer 2

The value is p+q=16.

Step-by-step explanation:  

Given : If 0.7 bar=p/q.

To find : The value of p+q ?

Solution :

Solving in form of p/q,

Let $x=0.777.....$  .....(1)

Multiply both side by 10,

$10x=7.777.....$  .....(2)

Subtract (1) and (2),

$10x-x=(7.777.....)-(0.777....)$

$9x=7$

$x=\frac{7}{9}$

On comparing, p=7 and q=9

$p+q=7+9$

$p+q=16$

Therefore, the value is 16.

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