What is 75/89 Divided By 7/2

Solving $\frac{75}{89}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{89} \div \frac{7}{2} = \frac{75}{89} \times \frac{2}{7}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $89 \times 7 = 623$
• Form the New Fraction: $\frac{75}{89} \times \frac{7}{2} = \frac{150}{623}$

Simplify - Since $\frac{150}{623}$​ is already in its simplest form (there are no common factors between $150$ and $623$ other than $1$), this is the final answer.

Answer $\frac{75}{89}\div\frac{7}{2} = \frac{150}{623}$

The following animation demonstrates the divide-by,