Question

Kevin gave 5/12 of his candy bar to Emily and 1/2 of his candy bar to David. How much of the candy bar does Kevin have left for himself? Your answer should be in the form of a simplified fraction. *

Answer 1

`Fraction\ Left = (1)/(12)`

Explanation:

Given

`Emily = (5)/(12)`

`David = (1)/(2)`

Required

Determine the fraction left

The whole candy will be represented with 1:

So:

`Emily + David + Fraction\ Left = 1`

This gives:

`(5)/(12) + (1)/(2) + Fraction\ Left = 1`

Collect Like Terms

`Fraction\ Left = 1 -(5)/(12) - (1)/(2)`

Take LCM

`Fraction\ Left = (12 - 5 - 6)/(12)`

`Fraction\ Left = (1)/(12)`

Hence, the fraction left is 1/12