What is 91/17 Divided By 5/6

Solving $\frac{91}{17}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{17} \div \frac{5}{6} = \frac{91}{17} \times \frac{6}{5}$

• Multiply the Numerators: $91 \times 6 = 546$
• Multiply the Denominators: $17 \times 5 = 85$
• Form the New Fraction: $\frac{91}{17} \times \frac{5}{6} = \frac{546}{85}$

Simplify - Since $\frac{546}{85}$​ is already in its simplest form (there are no common factors between $546$ and $85$ other than $1$), this is the final answer.

Answer $\frac{91}{17}\div\frac{5}{6} = \frac{546}{85}$

The following animation demonstrates the divide-by,