What is 85/24 Divided By 6/5

Solving $\frac{85}{24}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{24} \div \frac{6}{5} = \frac{85}{24} \times \frac{5}{6}$

• Multiply the Numerators: $85 \times 5 = 425$
• Multiply the Denominators: $24 \times 6 = 144$
• Form the New Fraction: $\frac{85}{24} \times \frac{6}{5} = \frac{425}{144}$

Simplify - Since $\frac{425}{144}$​ is already in its simplest form (there are no common factors between $425$ and $144$ other than $1$), this is the final answer.

Answer $\frac{85}{24}\div\frac{6}{5} = \frac{425}{144}$

The following animation demonstrates the divide-by,