What is 48/85 Divided By 1/4

Solving $\frac{48}{85}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{85} \div \frac{1}{4} = \frac{48}{85} \times \frac{4}{1}$

• Multiply the Numerators: $48 \times 4 = 192$
• Multiply the Denominators: $85 \times 1 = 85$
• Form the New Fraction: $\frac{48}{85} \times \frac{1}{4} = \frac{192}{85}$

Simplify - Since $\frac{192}{85}$​ is already in its simplest form (there are no common factors between $192$ and $85$ other than $1$), this is the final answer.

Answer $\frac{48}{85}\div\frac{1}{4} = \frac{192}{85}$

The following animation demonstrates the divide-by,