What is 17/42 Divided By 2/5

Solving $\frac{17}{42}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{42} \div \frac{2}{5} = \frac{17}{42} \times \frac{5}{2}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{17}{42} \times \frac{2}{5} = \frac{85}{84}$

Simplify - Since $\frac{85}{84}$​ is already in its simplest form (there are no common factors between $85$ and $84$ other than $1$), this is the final answer.

Answer $\frac{17}{42}\div\frac{2}{5} = \frac{85}{84}$

The following animation demonstrates the divide-by,