Question

Sohan was putting covers on his note books. He put 1/4th of the covers on monday. He put another 1/4th of the covers on tuesday and the remaining on wednesday. What fraction of covers did he put on wednesday?

Answer 1

`Wednesday = (1)/(2)`

Explanation:

Given

`Monday = (1)/(4)`

`Tuesday = (1)/(4)`

`Wednesday = Others`

Required

Determine the fraction of Wednesday

The summation of fractions on each day must be equal to 1.

So:

`Monday + Tuesday + Wednesday = 1`

Substitute values for Monday and Tuesday

`(1)/(4) +(1)/(4) +Wednesday = 1`

Collect Like Terms

`Wednesday = 1 - (1)/(4) -(1)/(4)`

Take LCM

`Wednesday = (4 - 1 - 1)/(4)`

`Wednesday = (4 - 2)/(4)`

`Wednesday = (2)/(4)`

Simplify fraction

`Wednesday = (1)/(2)`