What is 83/11 Divided By 7/5

Solving $\frac{83}{11}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{11} \div \frac{7}{5} = \frac{83}{11} \times \frac{5}{7}$

• Multiply the Numerators: $83 \times 5 = 415$
• Multiply the Denominators: $11 \times 7 = 77$
• Form the New Fraction: $\frac{83}{11} \times \frac{7}{5} = \frac{415}{77}$

Simplify - Since $\frac{415}{77}$​ is already in its simplest form (there are no common factors between $415$ and $77$ other than $1$), this is the final answer.

Answer $\frac{83}{11}\div\frac{7}{5} = \frac{415}{77}$

The following animation demonstrates the divide-by,