What is 66/85 Divided By 5/6

Solving $\frac{66}{85}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{85} \div \frac{5}{6} = \frac{66}{85} \times \frac{6}{5}$

• Multiply the Numerators: $66 \times 6 = 396$
• Multiply the Denominators: $85 \times 5 = 425$
• Form the New Fraction: $\frac{66}{85} \times \frac{5}{6} = \frac{396}{425}$

Simplify - Since $\frac{396}{425}$​ is already in its simplest form (there are no common factors between $396$ and $425$ other than $1$), this is the final answer.

Answer $\frac{66}{85}\div\frac{5}{6} = \frac{396}{425}$

The following animation demonstrates the divide-by,