Question

0.3125 can be written in the form p/q as

Answer 1

`0.3125 = (3125)/(10000) = (3125 / 625 )/(10000 / 625) = (5)/(16)`

Answer 2

We need to write 0.3125 in fraction form

First we remove the decimal

WE have 4 numbers after the decimal so we divide by 10000

`0.3125 = (0.3125* 10000)/(1*10000) = (3125)/(10000)`

Both numerator and denominator ends at 0 and 5

so we divide both top and bottom by 5

`(3125)/(10000) = ( (3125)/(5))/((1000)/(5)) = (625)/(2000)`

Again divide both numerator and denominator by 5

`(625)/(2000) = ( (625)/(5))/((2000)/(5)) = (125)/(400)`

Again divide by 5

`(125)/(400) = ( (125)/(5))/((400)/(5)) = (25)/(80)`

Again divide by 5

`(25)/(80) = ( (25)/(5))/((80)/(5)) = (5)/(16)`

`0.3125 = (5)/(16)`