What is 57/53 Divided By 5/8

Solving $\frac{57}{53}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{53} \div \frac{5}{8} = \frac{57}{53} \times \frac{8}{5}$

• Multiply the Numerators: $57 \times 8 = 456$
• Multiply the Denominators: $53 \times 5 = 265$
• Form the New Fraction: $\frac{57}{53} \times \frac{5}{8} = \frac{456}{265}$

Simplify - Since $\frac{456}{265}$​ is already in its simplest form (there are no common factors between $456$ and $265$ other than $1$), this is the final answer.

Answer $\frac{57}{53}\div\frac{5}{8} = \frac{456}{265}$

The following animation demonstrates the divide-by,