Answer: 38
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Step-by-step explanation:
Imagine drawing a circle and splitting it into 3 equal slices. Repeat this process to get 12 identical such circles. We have 12*3 = 36 slices so far.
Then add a 13th circle that has 2 of the 3 slices shaded, to represent 2/3. So we add 2 extra slices to the 36 original to get 36+2 = 38 total slices.
Each slice represents 1/3 of a cup. So each full circle represents 1 full cup.
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Another approach:
Let's convert the mixed number 12 & 2/3 into an improper fraction
We use the formula
a & b/c = (a*c+b)/c
So,
12 & 2/3 = (12*3+2)/3 = (36+2)/3 = 38/3
Then rewrite the 38/3 as 38*(1/3) to show we have 38 copies of the 1/3 cup.