What is 83/11 Divided By 5/6

Solving $\frac{83}{11}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{11} \div \frac{5}{6} = \frac{83}{11} \times \frac{6}{5}$

• Multiply the Numerators: $83 \times 6 = 498$
• Multiply the Denominators: $11 \times 5 = 55$
• Form the New Fraction: $\frac{83}{11} \times \frac{5}{6} = \frac{498}{55}$

Simplify - Since $\frac{498}{55}$​ is already in its simplest form (there are no common factors between $498$ and $55$ other than $1$), this is the final answer.

Answer $\frac{83}{11}\div\frac{5}{6} = \frac{498}{55}$

The following animation demonstrates the divide-by,