What is 53/17 Divided By 5/6

Solving $\frac{53}{17}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{17} \div \frac{5}{6} = \frac{53}{17} \times \frac{6}{5}$

• Multiply the Numerators: $53 \times 6 = 318$
• Multiply the Denominators: $17 \times 5 = 85$
• Form the New Fraction: $\frac{53}{17} \times \frac{5}{6} = \frac{318}{85}$

Simplify - Since $\frac{318}{85}$​ is already in its simplest form (there are no common factors between $318$ and $85$ other than $1$), this is the final answer.

Answer $\frac{53}{17}\div\frac{5}{6} = \frac{318}{85}$

The following animation demonstrates the divide-by,