What is 61/75 Divided By 9/7

Solving $\frac{61}{75}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{75} \div \frac{9}{7} = \frac{61}{75} \times \frac{7}{9}$

• Multiply the Numerators: $61 \times 7 = 427$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{61}{75} \times \frac{9}{7} = \frac{427}{675}$

Simplify - Since $\frac{427}{675}$​ is already in its simplest form (there are no common factors between $427$ and $675$ other than $1$), this is the final answer.

Answer $\frac{61}{75}\div\frac{9}{7} = \frac{427}{675}$

The following animation demonstrates the divide-by,