What is 85/89 Divided By 3/4

Solving $\frac{85}{89}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{89} \div \frac{3}{4} = \frac{85}{89} \times \frac{4}{3}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $89 \times 3 = 267$
• Form the New Fraction: $\frac{85}{89} \times \frac{3}{4} = \frac{340}{267}$

Simplify - Since $\frac{340}{267}$​ is already in its simplest form (there are no common factors between $340$ and $267$ other than $1$), this is the final answer.

Answer $\frac{85}{89}\div\frac{3}{4} = \frac{340}{267}$

The following animation demonstrates the divide-by,