What is 27/17 Divided By 5/8

Solving $\frac{27}{17}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{17} \div \frac{5}{8} = \frac{27}{17} \times \frac{8}{5}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $17 \times 5 = 85$
• Form the New Fraction: $\frac{27}{17} \times \frac{5}{8} = \frac{216}{85}$

Simplify - Since $\frac{216}{85}$​ is already in its simplest form (there are no common factors between $216$ and $85$ other than $1$), this is the final answer.

Answer $\frac{27}{17}\div\frac{5}{8} = \frac{216}{85}$

The following animation demonstrates the divide-by,