To determine which situation matches the expression \( \frac{3}{4} \times \frac{1}{2} \), we need to find a scenario involving multiplication of two fractions.
A. Susan had \( \frac{3}{4} \) of a liter of orange juice in a carton. She poured \( \frac{1}{2} \) of it into a jar. How much of a liter did Susan pour into the jar?
In this situation, the fraction \( \frac{1}{2} \) represents the portion of \( \frac{3}{4} \) that Susan poured into the jar.
This directly corresponds to the expression \( \frac{3}{4} \times \frac{1}{2} \).
B. Tony takes \( \frac{1}{2} \) of an hour to mow his lawn. He has already spent \( \frac{1}{4} \) of an hour mowing. How much longer will Tony take to mow all of the lawn?
This situation does not involve multiplying two fractions; it is about determining the remaining time.
C. Mrs. Carter has a package of butter that weighs \( \frac{3}{4} \) of a kilogram. She uses \( \frac{1}{2} \) of a kilogram of butter for baking. How much of the butter did Mrs. Carter use?
This scenario involves a straightforward subtraction, not multiplication of two fractions.
D. Chris bikes for \( \frac{1}{2} \) of an hour. He stops for a rest and then bikes for another \( \frac{1}{4} \) of an hour. How many hours did Chris bike in all?
This situation involves addition of fractions, not multiplication.
Based on this analysis, the correct answer is:
A. Susan had \( \frac{3}{4} \) of a liter of orange juice in a carton. She poured \( \frac{1}{2} \) of it into a jar. How much of a liter did Susan pour into the jar?
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