Calculate a fraction divided by a fraction and simplify.

Check the final answer first, then review the worked steps.

Problem

Calculate a fraction divided by a fraction and simplify.

Step-by-step solution

To divide fractions, multiply the first fraction by the reciprocal of the second fraction: $\frac{5}{14} \div \frac{20}{7} = \frac{5}{14} \times \frac{7}{20} = \frac{35}{280}$. Simplify by dividing the numerator and denominator by their greatest common divisor, 35, to get $\frac{1}{8}$.

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Answer

$\frac{1}{8}$