During the school sausage sizzle, a tank of orange juice sprang a leak. The teacher pours the remaining orange juice into a smaller container. The small container can hold three-quarters of the large tank. If the large tank is two-thirds full, what fraction of the small container does it fill?
Question
During the school sausage sizzle, a tank of orange juice sprang a leak. The teacher pours the remaining orange juice into a smaller container. The small container can hold three-quarters of the large tank. If the large tank is two-thirds full, what fraction of the small container does it fill?
Solution
To solve this problem, we need to find out how much of the small container the orange juice from the large tank will fill.
Step 1: We know that the large tank is two-thirds full.
Step 2: We also know that the small container can hold three-quarters of the large tank.
Step 3: To find out how much of the small container the orange juice from the large tank will fill, we multiply the fraction of the large tank that is full (two-thirds) by the reciprocal of the fraction of the large tank that the small container can hold (four-thirds).
So, (2/3) * (4/3) = 8/9.
Therefore, the orange juice from the large tank will fill 8/9 of the small container.
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