What is 76/89 Divided By 3/2

Solving $\frac{76}{89}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{89} \div \frac{3}{2} = \frac{76}{89} \times \frac{2}{3}$

• Multiply the Numerators: $76 \times 2 = 152$
• Multiply the Denominators: $89 \times 3 = 267$
• Form the New Fraction: $\frac{76}{89} \times \frac{3}{2} = \frac{152}{267}$

Simplify - Since $\frac{152}{267}$​ is already in its simplest form (there are no common factors between $152$ and $267$ other than $1$), this is the final answer.

Answer $\frac{76}{89}\div\frac{3}{2} = \frac{152}{267}$

The following animation demonstrates the divide-by,