Question

Heba ate 1/12 of a box of cereal. Now the box is 3/4 full.

What fraction of a full box was there before Heba ate?

Answer 1

I believe there was 5/6s of the box there before.

Answer 2

The fraction of a full box was
`(5)/(6)` before haba ate.

Explanation:

Consider the provided information.

Heba ate 1/12 of a box of cereal. Now the box is 3/4 full.

`( 3)/(4)=(3)/(4)* 1`

The above equation can be written as:

`( 3)/(4)=(3)/(4)*{(3)/(3)}`

`( 3)/(4)=(9)/(12)`

Thus, the Box is still 9/12 full.

As haba ate 1/12 of it simply add 1/12 and 9/12 as shown:

`(9)/(12)+(1)/(12)`

`(9+1)/(12)`

`(10)/(12)`

`(5)/(6)`

Hence, the fraction of a full box was
`(5)/(6)` before haba ate.