What is 35/81 Divided By 1/8

Solving $\frac{35}{81}\div\frac{1}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{81} \div \frac{1}{8} = \frac{35}{81} \times \frac{8}{1}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{35}{81} \times \frac{1}{8} = \frac{280}{81}$

Simplify - Since $\frac{280}{81}$​ is already in its simplest form (there are no common factors between $280$ and $81$ other than $1$), this is the final answer.

Answer $\frac{35}{81}\div\frac{1}{8} = \frac{280}{81}$

The following animation demonstrates the divide-by,