Lemme post a question

Algebra Level 2

Find the fraction which bears the same ratio to 1 27 \frac{1}{27} that 3 7 \frac{3}{7} has with 5 9 \frac{5}{9} :

1 42 \frac{1}{42} 1 52 \frac{1}{52} 1 49 \frac{1}{49} 1 35 \frac{1}{35}

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1 solution

Pham Khanh
Apr 12, 2016

3 7 5 9 \frac{\frac{3}{7}}{\frac{5}{9}} = 1 27 a b \frac{\frac{1}{27}}{\frac{a}{b}} so a b \frac{a}{b} = 3 7 5 9 ∗ 1 27 \frac{\frac{3}{7}}{\frac{5}{9}}*\frac{1}{27} = 27 35 ∗ 1 27 \frac{27}{35}*\frac{1}{27} = 1 35 \frac{1}{35}

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