Paige mows \(\frac{1}{6}\) acre in \(\frac{1}{4}\) hour. How many acres does Paige mow per hour?
Show your work.
Answer (3)
So,
Let "the number of acres Paige mows per hour" be x.
1/6 = 1/4x 1/6 = x/4 (multiply both sides by 4) 4/6 = x 2/3 = x
Paige mows 2/3 acres per hour.
Paige mows 1/6 acre in 1/4 hour
we need to find out how many acres she can mow in 1 hour
1/4 hour is when 1 hour is divided into 4 equal parts
within 1/4 hour she mows 1/6 acre
so to find how much she will mow in 1 hour we have to multiply 1/6 acres by 4
so 1/4 hour she mows - 1/6 acre
then 1 hour she mows - 6 1 ∗ 4 = 6 4 = 3 2
she mows 2/3 acre in 1 hour
Paige mows 3 2 acre per hour. This was calculated by multiplying the amount she mows in 4 1 hour by 4. Thus, her mowing rate is 3 2 acre per hour.
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