What is 74/83 Divided By 1/4

Solving $\frac{74}{83}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{83} \div \frac{1}{4} = \frac{74}{83} \times \frac{4}{1}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $83 \times 1 = 83$
• Form the New Fraction: $\frac{74}{83} \times \frac{1}{4} = \frac{296}{83}$

Simplify - Since $\frac{296}{83}$​ is already in its simplest form (there are no common factors between $296$ and $83$ other than $1$), this is the final answer.

Answer $\frac{74}{83}\div\frac{1}{4} = \frac{296}{83}$

The following animation demonstrates the divide-by,