What is 61/72 Divided By 8/5

Solving $\frac{61}{72}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{72} \div \frac{8}{5} = \frac{61}{72} \times \frac{5}{8}$

• Multiply the Numerators: $61 \times 5 = 305$
• Multiply the Denominators: $72 \times 8 = 576$
• Form the New Fraction: $\frac{61}{72} \times \frac{8}{5} = \frac{305}{576}$

Simplify - Since $\frac{305}{576}$​ is already in its simplest form (there are no common factors between $305$ and $576$ other than $1$), this is the final answer.

Answer $\frac{61}{72}\div\frac{8}{5} = \frac{305}{576}$

The following animation demonstrates the divide-by,