What is 75/89 Divided By 7/3

Solving $\frac{75}{89}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{89} \div \frac{7}{3} = \frac{75}{89} \times \frac{3}{7}$

• Multiply the Numerators: $75 \times 3 = 225$
• Multiply the Denominators: $89 \times 7 = 623$
• Form the New Fraction: $\frac{75}{89} \times \frac{7}{3} = \frac{225}{623}$

Simplify - Since $\frac{225}{623}$​ is already in its simplest form (there are no common factors between $225$ and $623$ other than $1$), this is the final answer.

Answer $\frac{75}{89}\div\frac{7}{3} = \frac{225}{623}$

The following animation demonstrates the divide-by,