What is 75/17 Divided By 2/5

Solving $\frac{75}{17}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{17} \div \frac{2}{5} = \frac{75}{17} \times \frac{5}{2}$

• Multiply the Numerators: $75 \times 5 = 375$
• Multiply the Denominators: $17 \times 2 = 34$
• Form the New Fraction: $\frac{75}{17} \times \frac{2}{5} = \frac{375}{34}$

Simplify - Since $\frac{375}{34}$​ is already in its simplest form (there are no common factors between $375$ and $34$ other than $1$), this is the final answer.

Answer $\frac{75}{17}\div\frac{2}{5} = \frac{375}{34}$

The following animation demonstrates the divide-by,