What is 85/33 Divided By 6/7

Solving $\frac{85}{33}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{33} \div \frac{6}{7} = \frac{85}{33} \times \frac{7}{6}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $33 \times 6 = 198$
• Form the New Fraction: $\frac{85}{33} \times \frac{6}{7} = \frac{595}{198}$

Simplify - Since $\frac{595}{198}$​ is already in its simplest form (there are no common factors between $595$ and $198$ other than $1$), this is the final answer.

Answer $\frac{85}{33}\div\frac{6}{7} = \frac{595}{198}$

The following animation demonstrates the divide-by,