What is 45/74 Divided By 8/5

Solving $\frac{45}{74}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{74} \div \frac{8}{5} = \frac{45}{74} \times \frac{5}{8}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $74 \times 8 = 592$
• Form the New Fraction: $\frac{45}{74} \times \frac{8}{5} = \frac{225}{592}$

Simplify - Since $\frac{225}{592}$​ is already in its simplest form (there are no common factors between $225$ and $592$ other than $1$), this is the final answer.

Answer $\frac{45}{74}\div\frac{8}{5} = \frac{225}{592}$

The following animation demonstrates the divide-by,