SOLUTION: A farmer wants to fence in a field that has a length of 12 2/5 yards and a width of 9 3/8 yards. How many yards of fence is needed to fence in the field?
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Question 1043519: A farmer wants to fence in a field that has a length of 12 2/5 yards and a width of 9 3/8 yards. How many yards of fence is needed to fence in the field?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
A field has two lengths and two widths.
L=12 2/5 and twice that is 24 and 4/5 yards
W=9 3/8 and twice that is 18 6/8 yards
There are different ways to add them, but I like to add the 24 and 18 to get 42 yards and then add the fractions 4/5 and 3/4 (reduced).
the common denominator is 20, and 4/5=16/20, whereas 3/4=(15/20)
They make (31/20, which is 1 (11/20) yards
Remembering the 42 above, the answer is 42 + 1 (11/20)=43 (11/20) yards.
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using improper fractions
L=(62/5) and twice that is (124/5)
W=(75/8) and twice that is (150/8) or (75/4) reduced
(124/5)+((75/4) has a common denominator of 20
(496/20)+(375/20)=(871/20)
This is 43 (11/20) yards, because 20 goes into 100 5 times, into 800 40 times, and into 860 43 times, leaving 11 left over.
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