Question

express the number in the form of p/q : i) 0.57 bar

Answer 1

X=0.57 bar. - eqn 1
multiply by 100 both sides

100x = 57.57 bar. -eqn 2
subtract -eqn 1 from 2

100x-x=57.57bar - 0.57 bar
99x= 57
X=57/99

Answer 2

Answer:

$x = 0.575757...=\frac{19}{33}$( p/q form )

Explanation:

Let x = 0.575757.....---(1)

Multiply equation (1) by 100,we get

100x = 57.575757....---(2)

Subtract equation (1) from equation (2) , we get

99x = 57

$x = \frac{57}{99}$

Write it in least form, we get

$\implies x = \frac{3\times 19}{3\times 33}$

$\implies x = \frac{19}{33}$

Therefore,

$x = 0.575757...=\frac{19}{33}$ ( p/q form )

•••••