What is 17/24 Divided By 4/5

Solving $\frac{17}{24}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{24} \div \frac{4}{5} = \frac{17}{24} \times \frac{5}{4}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{17}{24} \times \frac{4}{5} = \frac{85}{96}$

Simplify - Since $\frac{85}{96}$​ is already in its simplest form (there are no common factors between $85$ and $96$ other than $1$), this is the final answer.

Answer $\frac{17}{24}\div\frac{4}{5} = \frac{85}{96}$

The following animation demonstrates the divide-by,