What is 46/75 Divided By 1/4

Solving $\frac{46}{75}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{1}{4} = \frac{46}{75} \times \frac{4}{1}$

• Multiply the Numerators: $46 \times 4 = 184$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{46}{75} \times \frac{1}{4} = \frac{184}{75}$

Simplify - Since $\frac{184}{75}$​ is already in its simplest form (there are no common factors between $184$ and $75$ other than $1$), this is the final answer.

Answer $\frac{46}{75}\div\frac{1}{4} = \frac{184}{75}$

The following animation demonstrates the divide-by,