Question

Mr. Matthews built a fence to enclose his yard. He put up 3/4 ​ of the fence on Monday. On Tuesday, he put up 1/6 of the fence, and on Wednesday, he put up the rest of the fence. What portion of the fence did he put up on Wednesday?

Answer 1

1/12 of the fence was put up on Wednesday.

Explanation:

3/4 + 1/6 = 11/12

So therefore 1/12 of the fence was put up on Wednesday

Answer 2

Answer: 1/12 of the fence was put up on Wednesday

Explanation:

To do this, we should add up the fractions of the fence on Monday and Tuesday, and subtract them from 1 (100% or the whole fence) to find the remaining portion.

`(3)/(4)` +
`(1)/(6)` First, find the greatest common denominator (12).

`(3)/(4) * (3)/(3) = (9)/(12)` In order to get from 4 to 12, you must multiply both sides by 3

`(1)/(6)*(2)/(2) = (2)/(12)` In order to get from 6 to 12, you must multiply both sides by 2

`(9)/(12) + (2)/(12) = (11)/(12)` Add the two fractions together by adding the numerators.

`1 - (11)/(12) = (1)/(12)` Finally, subtract 11/12 from 1 to get the remaining portion on Wednesday