What is 52/75 Divided By 9/7

Solving $\frac{52}{75}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{75} \div \frac{9}{7} = \frac{52}{75} \times \frac{7}{9}$

• Multiply the Numerators: $52 \times 7 = 364$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{52}{75} \times \frac{9}{7} = \frac{364}{675}$

Simplify - Since $\frac{364}{675}$​ is already in its simplest form (there are no common factors between $364$ and $675$ other than $1$), this is the final answer.

Answer $\frac{52}{75}\div\frac{9}{7} = \frac{364}{675}$

The following animation demonstrates the divide-by,