What is 33/53 Divided By 5/8

Solving $\frac{33}{53}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{53} \div \frac{5}{8} = \frac{33}{53} \times \frac{8}{5}$

• Multiply the Numerators: $33 \times 8 = 264$
• Multiply the Denominators: $53 \times 5 = 265$
• Form the New Fraction: $\frac{33}{53} \times \frac{5}{8} = \frac{264}{265}$

Simplify - Since $\frac{264}{265}$​ is already in its simplest form (there are no common factors between $264$ and $265$ other than $1$), this is the final answer.

Answer $\frac{33}{53}\div\frac{5}{8} = \frac{264}{265}$

The following animation demonstrates the divide-by,