Question

Express o.3178 (178 bar) in the form of p/q

Answer 1

Hi friend,

x= 0.3178178.... (i)

Multiply 10 on both sides-

10x=3.178178... (ii)

Multiply 100 on both sides-

100x=31.78178.... (iii)

Multiply 1000 on both sides-

1000x=317.8178..... (iv)

Multiply 10,000 on both sides-

10000x= 3178.178178 (v)

Subtract (ii) from (v)

10000x-10x= 3178.178178..... --3.178178

9990x= 3175

x=3175/990

Hope it helps.....

Answer 2

Hi friend,

let x=0.3178(178 bar)

x=0.3178178....----------(1)

Multiply 1000 on both sides as its periodicity is 3

1000*x=1000*0.3178178..

1000x=317.8178...------------(2)

(2)-(1)

1000x - x=317.8178...- 0.3178...

999x=317.5

x=317.5/999

x=3175/9990

hope this helps you