What is 85/24 Divided By 4/7

Solving $\frac{85}{24}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{24} \div \frac{4}{7} = \frac{85}{24} \times \frac{7}{4}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{85}{24} \times \frac{4}{7} = \frac{595}{96}$

Simplify - Since $\frac{595}{96}$​ is already in its simplest form (there are no common factors between $595$ and $96$ other than $1$), this is the final answer.

Answer $\frac{85}{24}\div\frac{4}{7} = \frac{595}{96}$

The following animation demonstrates the divide-by,