What is 83/22 Divided By 7/5

Solving $\frac{83}{22}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{22} \div \frac{7}{5} = \frac{83}{22} \times \frac{5}{7}$

• Multiply the Numerators: $83 \times 5 = 415$
• Multiply the Denominators: $22 \times 7 = 154$
• Form the New Fraction: $\frac{83}{22} \times \frac{7}{5} = \frac{415}{154}$

Simplify - Since $\frac{415}{154}$​ is already in its simplest form (there are no common factors between $415$ and $154$ other than $1$), this is the final answer.

Answer $\frac{83}{22}\div\frac{7}{5} = \frac{415}{154}$

The following animation demonstrates the divide-by,