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?

there are 5 1/4 kilograms of leaves per bag

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