What is 75/61 Divided By 4/9

Solving $\frac{75}{61}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{61} \div \frac{4}{9} = \frac{75}{61} \times \frac{9}{4}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $61 \times 4 = 244$
• Form the New Fraction: $\frac{75}{61} \times \frac{4}{9} = \frac{675}{244}$

Simplify - Since $\frac{675}{244}$​ is already in its simplest form (there are no common factors between $675$ and $244$ other than $1$), this is the final answer.

Answer $\frac{75}{61}\div\frac{4}{9} = \frac{675}{244}$

The following animation demonstrates the divide-by,