What is 52/85 Divided By 3/4

Solving $\frac{52}{85}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{85} \div \frac{3}{4} = \frac{52}{85} \times \frac{4}{3}$

• Multiply the Numerators: $52 \times 4 = 208$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{52}{85} \times \frac{3}{4} = \frac{208}{255}$

Simplify - Since $\frac{208}{255}$​ is already in its simplest form (there are no common factors between $208$ and $255$ other than $1$), this is the final answer.

Answer $\frac{52}{85}\div\frac{3}{4} = \frac{208}{255}$

The following animation demonstrates the divide-by,