What is 33/85 Divided By 5/3

Solving $\frac{33}{85}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{85} \div \frac{5}{3} = \frac{33}{85} \times \frac{3}{5}$

• Multiply the Numerators: $33 \times 3 = 99$
• Multiply the Denominators: $85 \times 5 = 425$
• Form the New Fraction: $\frac{33}{85} \times \frac{5}{3} = \frac{99}{425}$

Simplify - Since $\frac{99}{425}$​ is already in its simplest form (there are no common factors between $99$ and $425$ other than $1$), this is the final answer.

Answer $\frac{33}{85}\div\frac{5}{3} = \frac{99}{425}$

The following animation demonstrates the divide-by,