What is 89/75 Divided By 5/2

Solving $\frac{89}{75}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{89}{75} \div \frac{5}{2} = \frac{89}{75} \times \frac{2}{5}$

• Multiply the Numerators: $89 \times 2 = 178$
• Multiply the Denominators: $75 \times 5 = 375$
• Form the New Fraction: $\frac{89}{75} \times \frac{5}{2} = \frac{178}{375}$

Simplify - Since $\frac{178}{375}$​ is already in its simplest form (there are no common factors between $178$ and $375$ other than $1$), this is the final answer.

Answer $\frac{89}{75}\div\frac{5}{2} = \frac{178}{375}$

The following animation demonstrates the divide-by,