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Question How many servings can be made from 3 cakes if each serving is 58\frac{5}{8} of a cake? Write your answer as a mixed number.

Studdy Solution

STEP 1

Assumptions1. Each serving is 58\frac{5}{8} of a cake. There are3 cakes3. We want to find out how many servings can be made from the3 cakes

STEP 2

First, we need to find out how many servings can be made from one cake. We can do this by dividing1 (the whole cake) by the size of each serving.
Servings per cake=158Servings\, per\, cake = \frac{1}{\frac{5}{8}}

STEP 3

Now, calculate the number of servings per cake.
Servings per cake=158=85=135Servings\, per\, cake = \frac{1}{\frac{5}{8}} = \frac{8}{5} =1\frac{3}{5}

STEP 4

Now that we have the number of servings per cake, we can find the total number of servings from the3 cakes. We can do this by multiplying the number of servings per cake by the number of cakes.
Total servings=Servings per caketimesNumber of cakesTotal\, servings = Servings\, per\, cake \\times Number\, of\, cakes

STEP 5

Plug in the values for the servings per cake and the number of cakes to calculate the total servings.
Total servings=135times3Total\, servings =1\frac{3}{5} \\times3

STEP 6

Calculate the total number of servings.
Total servings=135times3=445Total\, servings =1\frac{3}{5} \\times3 =4\frac{4}{5}Marc can make445\frac{4}{5} servings from the3 cakes.

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