What is 53/75 Divided By 9/8

Solving $\frac{53}{75}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{75} \div \frac{9}{8} = \frac{53}{75} \times \frac{8}{9}$

• Multiply the Numerators: $53 \times 8 = 424$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{53}{75} \times \frac{9}{8} = \frac{424}{675}$

Simplify - Since $\frac{424}{675}$​ is already in its simplest form (there are no common factors between $424$ and $675$ other than $1$), this is the final answer.

Answer $\frac{53}{75}\div\frac{9}{8} = \frac{424}{675}$

The following animation demonstrates the divide-by,