What is 83/85 Divided By 2/9

Solving $\frac{83}{85}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{85} \div \frac{2}{9} = \frac{83}{85} \times \frac{9}{2}$

• Multiply the Numerators: $83 \times 9 = 747$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{83}{85} \times \frac{2}{9} = \frac{747}{170}$

Simplify - Since $\frac{747}{170}$​ is already in its simplest form (there are no common factors between $747$ and $170$ other than $1$), this is the final answer.

Answer $\frac{83}{85}\div\frac{2}{9} = \frac{747}{170}$

The following animation demonstrates the divide-by,