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# A group of juniors and seniors took a test. Exactly $\frac{3}{5}$ of the juniors and exactly $\frac{6}{7}$ of the seniors passed the test. I

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A group of juniors and seniors took a test. Exactly $\frac{3}{5}$ of the juniors and exactly $\frac{6}{7}$ of the seniors passed the test. If the number of juniors who passed the test was $\frac{2}{3}$ of the number of seniors who passed the test, what fraction of the entire group passed the test? Express your answer as a common fraction.

Jan 23, 2021