What is 83/85 Divided By 6/7

Solving $\frac{83}{85}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{85} \div \frac{6}{7} = \frac{83}{85} \times \frac{7}{6}$

• Multiply the Numerators: $83 \times 7 = 581$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{83}{85} \times \frac{6}{7} = \frac{581}{510}$

Simplify - Since $\frac{581}{510}$​ is already in its simplest form (there are no common factors between $581$ and $510$ other than $1$), this is the final answer.

Answer $\frac{83}{85}\div\frac{6}{7} = \frac{581}{510}$

The following animation demonstrates the divide-by,