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?

Respuesta :

Answer:

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

Step-by-step explanation:

3/4 + 1/6 = 11/12

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

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

Step-by-step 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.

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex]                  First, find the greatest common denominator (12).

[tex]\frac{3}{4} * \frac{3}{3} = \frac{9}{12}[/tex]         In order to get from 4 to 12, you must multiply both sides by 3

[tex]\frac{1}{6}*\frac{2}{2} = \frac{2}{12}[/tex]         In order to get from 6 to 12, you must multiply both sides by 2

[tex]\frac{9}{12} + \frac{2}{12} = \frac{11}{12}[/tex]     Add the two fractions together by adding the numerators.

[tex]1 - \frac{11}{12} = \frac{1}{12}[/tex]       Finally, subtract 11/12 from 1 to get the remaining portion on                    Wednesday