What is 74/85 Divided By 3/2

Solving $\frac{74}{85}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{85} \div \frac{3}{2} = \frac{74}{85} \times \frac{2}{3}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{74}{85} \times \frac{3}{2} = \frac{148}{255}$

Simplify - Since $\frac{148}{255}$​ is already in its simplest form (there are no common factors between $148$ and $255$ other than $1$), this is the final answer.

Answer $\frac{74}{85}\div\frac{3}{2} = \frac{148}{255}$

The following animation demonstrates the divide-by,