What is 33/34 Divided By 8/5

Solving $\frac{33}{34}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{34} \div \frac{8}{5} = \frac{33}{34} \times \frac{5}{8}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $34 \times 8 = 272$
• Form the New Fraction: $\frac{33}{34} \times \frac{8}{5} = \frac{165}{272}$

Simplify - Since $\frac{165}{272}$​ is already in its simplest form (there are no common factors between $165$ and $272$ other than $1$), this is the final answer.

Answer $\frac{33}{34}\div\frac{8}{5} = \frac{165}{272}$

The following animation demonstrates the divide-by,