What is 85/89 Divided By 2/3

Solving $\frac{85}{89}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{89} \div \frac{2}{3} = \frac{85}{89} \times \frac{3}{2}$

• Multiply the Numerators: $85 \times 3 = 255$
• Multiply the Denominators: $89 \times 2 = 178$
• Form the New Fraction: $\frac{85}{89} \times \frac{2}{3} = \frac{255}{178}$

Simplify - Since $\frac{255}{178}$​ is already in its simplest form (there are no common factors between $255$ and $178$ other than $1$), this is the final answer.

Answer $\frac{85}{89}\div\frac{2}{3} = \frac{255}{178}$

The following animation demonstrates the divide-by,