What is 35/81 Divided By 4/5

Solving $\frac{35}{81}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{81} \div \frac{4}{5} = \frac{35}{81} \times \frac{5}{4}$

• Multiply the Numerators: $35 \times 5 = 175$
• Multiply the Denominators: $81 \times 4 = 324$
• Form the New Fraction: $\frac{35}{81} \times \frac{4}{5} = \frac{175}{324}$

Simplify - Since $\frac{175}{324}$​ is already in its simplest form (there are no common factors between $175$ and $324$ other than $1$), this is the final answer.

Answer $\frac{35}{81}\div\frac{4}{5} = \frac{175}{324}$

The following animation demonstrates the divide-by,