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. Mike is putting up a fence in the backyard. The fence comes in sections that are 4 2/3

feet long. If the yard is 34 feet long, how many sections will he need to buy?

User IHTCboy
by
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1 Answer

5 votes

Answer:


7(2)/(7) sections of fence

Explanation:

since we are trying to find how many sections we need and we are given the total length of the yard and the length of each section of the fence, we are going to divide.

you want to divide the 34 yards into the 4 2/3 feet. to make this easier, we can turn 4
(2)/(3) into a mixed number. to do this we multiply the 4 by the denominator which is the number on the bottom and add it to the numerator which is the number at the top.

4x3=12

12+2 = 14


(14)/(3)


(34)/(1) ÷
(14)/(3)

to divide fractions we multiply by the reciprocal which would be


(34)/(1)×
(3)/(14)

now we just multiply across

34x3= 102

1x14=14


(102)/(14)

now the furthest we can simplify this is by dividing the whole thing by 2

51/7

now we turn this back into an improper fraction

we get
7(2)/(7)

you will need to buy
7(2)/(7)\\ sections of fence

User KKO
by
3.1k points