What is 74/75 Divided By 1/4

Solving $\frac{74}{75}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{75} \div \frac{1}{4} = \frac{74}{75} \times \frac{4}{1}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{74}{75} \times \frac{1}{4} = \frac{296}{75}$

Simplify - Since $\frac{296}{75}$​ is already in its simplest form (there are no common factors between $296$ and $75$ other than $1$), this is the final answer.

Answer $\frac{74}{75}\div\frac{1}{4} = \frac{296}{75}$

The following animation demonstrates the divide-by,