What is 83/89 Divided By 3/2

Solving $\frac{83}{89}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{89} \div \frac{3}{2} = \frac{83}{89} \times \frac{2}{3}$

• Multiply the Numerators: $83 \times 2 = 166$
• Multiply the Denominators: $89 \times 3 = 267$
• Form the New Fraction: $\frac{83}{89} \times \frac{3}{2} = \frac{166}{267}$

Simplify - Since $\frac{166}{267}$​ is already in its simplest form (there are no common factors between $166$ and $267$ other than $1$), this is the final answer.

Answer $\frac{83}{89}\div\frac{3}{2} = \frac{166}{267}$

The following animation demonstrates the divide-by,