What is 85/11 Divided By 3/2

Solving $\frac{85}{11}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{11} \div \frac{3}{2} = \frac{85}{11} \times \frac{2}{3}$

• Multiply the Numerators: $85 \times 2 = 170$
• Multiply the Denominators: $11 \times 3 = 33$
• Form the New Fraction: $\frac{85}{11} \times \frac{3}{2} = \frac{170}{33}$

Simplify - Since $\frac{170}{33}$​ is already in its simplest form (there are no common factors between $170$ and $33$ other than $1$), this is the final answer.

Answer $\frac{85}{11}\div\frac{3}{2} = \frac{170}{33}$

The following animation demonstrates the divide-by,