What is 74/17 Divided By 1/4

Solving $\frac{74}{17}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{17} \div \frac{1}{4} = \frac{74}{17} \times \frac{4}{1}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $17 \times 1 = 17$
• Form the New Fraction: $\frac{74}{17} \times \frac{1}{4} = \frac{296}{17}$

Simplify - Since $\frac{296}{17}$​ is already in its simplest form (there are no common factors between $296$ and $17$ other than $1$), this is the final answer.

Answer $\frac{74}{17}\div\frac{1}{4} = \frac{296}{17}$

The following animation demonstrates the divide-by,