What is 85/53 Divided By 9/4

Solving $\frac{85}{53}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{53} \div \frac{9}{4} = \frac{85}{53} \times \frac{4}{9}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $53 \times 9 = 477$
• Form the New Fraction: $\frac{85}{53} \times \frac{9}{4} = \frac{340}{477}$

Simplify - Since $\frac{340}{477}$​ is already in its simplest form (there are no common factors between $340$ and $477$ other than $1$), this is the final answer.

Answer $\frac{85}{53}\div\frac{9}{4} = \frac{340}{477}$

The following animation demonstrates the divide-by,