Mathematics
22 December, 04:50

# Yard work last weekend charlie raked leaves in his front yard. he noticed that 7/3 kilograms of leaves filled 4/9 of a bag. what is the unit rate for kilograms of leaves per bag

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1. 22 December, 05:53
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the unit rate for kilograms of leaves per bag is 5 1/4 kilograms

part = 7/3

ratio of 7/3 = 4/9

to get the whole, we must divided the part by its corresponding ratio.

7/3 : 4/9

Steps in dividing fractions.

step1. get the reciprocal of the 2nd fraction

1st fraction = 7/3

2nd fraction = 4/9 ⇒ reciprocal = 9/4

step2. multiply the 1st fraction to the reciprocal of the second fraction

7/3 * 9/4 = 7 * 9 / 3 * 4 = 63/12

step3. simplify the fraction

63/12 = 5 3/12 or 5 1/4
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