What is 74/85 Divided By 5/6

Solving $\frac{74}{85}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{85} \div \frac{5}{6} = \frac{74}{85} \times \frac{6}{5}$

• Multiply the Numerators: $74 \times 6 = 444$
• Multiply the Denominators: $85 \times 5 = 425$
• Form the New Fraction: $\frac{74}{85} \times \frac{5}{6} = \frac{444}{425}$

Simplify - Since $\frac{444}{425}$​ is already in its simplest form (there are no common factors between $444$ and $425$ other than $1$), this is the final answer.

Answer $\frac{74}{85}\div\frac{5}{6} = \frac{444}{425}$

The following animation demonstrates the divide-by,