What is 85/81 Divided By 1/4

Solving $\frac{85}{81}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{81} \div \frac{1}{4} = \frac{85}{81} \times \frac{4}{1}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{85}{81} \times \frac{1}{4} = \frac{340}{81}$

Simplify - Since $\frac{340}{81}$​ is already in its simplest form (there are no common factors between $340$ and $81$ other than $1$), this is the final answer.

Answer $\frac{85}{81}\div\frac{1}{4} = \frac{340}{81}$

The following animation demonstrates the divide-by,