What is 85/83 Divided By 7/6

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

The following animation demonstrates the divide-by,