What is 89/75 Divided By 9/2

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

The following animation demonstrates the divide-by,