What is 76/53 Divided By 9/2

Solving $\frac{76}{53}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{53} \div \frac{9}{2} = \frac{76}{53} \times \frac{2}{9}$

• Multiply the Numerators: $76 \times 2 = 152$
• Multiply the Denominators: $53 \times 9 = 477$
• Form the New Fraction: $\frac{76}{53} \times \frac{9}{2} = \frac{152}{477}$

Simplify - Since $\frac{152}{477}$​ is already in its simplest form (there are no common factors between $152$ and $477$ other than $1$), this is the final answer.

Answer $\frac{76}{53}\div\frac{9}{2} = \frac{152}{477}$

The following animation demonstrates the divide-by,