What is 75/89 Divided By 2/9

Solving $\frac{75}{89}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{89} \div \frac{2}{9} = \frac{75}{89} \times \frac{9}{2}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $89 \times 2 = 178$
• Form the New Fraction: $\frac{75}{89} \times \frac{2}{9} = \frac{675}{178}$

Simplify - Since $\frac{675}{178}$​ is already in its simplest form (there are no common factors between $675$ and $178$ other than $1$), this is the final answer.

Answer $\frac{75}{89}\div\frac{2}{9} = \frac{675}{178}$

The following animation demonstrates the divide-by,