Multiply and divide fractions and mixed numbers and interpret the result in context.
Find a fraction of an amount
Problem
A recipe uses \(2/3~\text{cup}\) of yogurt, and you make \(3/4\) of it. Calculate the amount of yogurt used in cups.
Big Picture
What this problem is really about
Here, “three fourths of” the full yogurt amount signals multiplication. We’ll multiply three fourths by two thirds cup, interpret the numerator and denominator as an overlap in a fourths-by-thirds area model, and simplify while keeping cups attached. The result should be less than two thirds cup because only part of the recipe is being made.
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