Question

Express 0.328 (bar on 28) in the form of p/q

Answer 1

Answer:

let the expression be equal to 'a'.

So a=0.328(bar on 28)

Let x be equal to 10 times of 'a'

so x=3.28(bar)

100x=328.28(bar)

99x=325

x=325/99

a=32.5/99

Answer 2

annyeongHaseyo.. :-D

we know that a number on which a bar exists repeat again and again.

so,

coming on your question..

equation..1 - 0.32828 (bar on 28)

to get eq-2

multiply 0.32828 by 10.

10x = 3.2828

for eq-3

multiply 0.32828 by 100.

100x = 32.82828

now for eq- 4

multiply 0.32828 by 1000.

1000x = 328.2828

now, subtract eq- 2 from equation-4

1000x - 10x = 328.2828 - 3.2828

990x = 325

x = 325/990

= 0.32828

it mean that our answer which is 325/990 is absolutely correcr.

#SuJu