What is 85/74 Divided By 2/5

Solving $\frac{85}{74}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{74} \div \frac{2}{5} = \frac{85}{74} \times \frac{5}{2}$

• Multiply the Numerators: $85 \times 5 = 425$
• Multiply the Denominators: $74 \times 2 = 148$
• Form the New Fraction: $\frac{85}{74} \times \frac{2}{5} = \frac{425}{148}$

Simplify - Since $\frac{425}{148}$​ is already in its simplest form (there are no common factors between $425$ and $148$ other than $1$), this is the final answer.

Answer $\frac{85}{74}\div\frac{2}{5} = \frac{425}{148}$

The following animation demonstrates the divide-by,