What is 89/75 Divided By 2/7

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

The following animation demonstrates the divide-by,