Question

0.5 bar is equal to p/q then the value of pq?​

Answer 1

Answer:

Let x = 0.5 bar

As there is one number under bar, multiply by 10 on both sides,

10 x x = 10 x 0.5 bar

10x = 5.5 bar

222

4.0

Subtract x from both sides

10x = 5.5 bar - x = -0.5 bar

9x = 5 [bar cancelled]

x=5/9

NOW,

0.5 bar in p/q form is 5/9

Answer 2

Step-by-step explanation:

$0. \bar5$

$Let \: \frac{p}{q} = 0.5555... - - - (i)$

On multiplying 10 on both the sides,

$10 \frac{p}{q} = 5.5555... - - - (ii)$

Subtract Equation (i) from Equation (ii),

$10 \frac{p}{q} - \frac{p}{q} = (5.555... )- (0.555...)$

$9 \frac{p}{q} = 5$

$\frac{p}{q} = \frac{5}{9}$

So , p = 5 and q = 9

I hope it is helpful