What is 75/89 Divided By 2/7

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $75 \times 7 = 525$
• Multiply the Denominators: $89 \times 2 = 178$
• Form the New Fraction: $\frac{75}{89} \times \frac{2}{7} = \frac{525}{178}$

Simplify - Since $\frac{525}{178}$​ is already in its simplest form (there are no common factors between $525$ and $178$ other than $1$), this is the final answer.

Answer $\frac{75}{89}\div\frac{2}{7} = \frac{525}{178}$

The following animation demonstrates the divide-by,