Question

express 0.67 in the form of p/q .
(bar is on 7)

Answer 1

let x = 0.677777 -(I)

10x = 6.777777 -(ii)

100x = 67.77777 - (III)

subtracting equation lI from Ill

100x-10x = 67.77777-6.77777

90x = 61

x = 61/90

I hope it will help u

Answer 2

CONCEPT:

If a decimal which have bar on a number that number will continue in decimal as infinite number.

GIVEN:

0.67 is given

also the information 7 has bar is given

FIND:

we want to find the fractional form(p/q form) of 0.67

SOLUTION:

let x =0.67

as there is a bar on 7 ,7  will continue to infinity

so x=0.677777

lets try to multiply it with 10 and 100

10x = 6.777777.........(1)

let it be equation 1

100x = 67.77777...............(2)

let it be equation 2

equation 2- equation 1 ⇒

100x-10x = 67.77777-6.77777

90x = 61

x = 61/90

so the fractional form (p/q form)  of 0.67(7 has bar) is 61/90.
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