What is 72/85 Divided By 7/4

Solving $\frac{72}{85}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{85} \div \frac{7}{4} = \frac{72}{85} \times \frac{4}{7}$

• Multiply the Numerators: $72 \times 4 = 288$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{72}{85} \times \frac{7}{4} = \frac{288}{595}$

Simplify - Since $\frac{288}{595}$​ is already in its simplest form (there are no common factors between $288$ and $595$ other than $1$), this is the final answer.

Answer $\frac{72}{85}\div\frac{7}{4} = \frac{288}{595}$

The following animation demonstrates the divide-by,