What is 53/75 Divided By 9/4

Solving $\frac{53}{75}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{75} \div \frac{9}{4} = \frac{53}{75} \times \frac{4}{9}$

• Multiply the Numerators: $53 \times 4 = 212$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{53}{75} \times \frac{9}{4} = \frac{212}{675}$

Simplify - Since $\frac{212}{675}$​ is already in its simplest form (there are no common factors between $212$ and $675$ other than $1$), this is the final answer.

Answer $\frac{53}{75}\div\frac{9}{4} = \frac{212}{675}$

The following animation demonstrates the divide-by,