What is 53/54 Divided By 3/5

Solving $\frac{53}{54}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{54} \div \frac{3}{5} = \frac{53}{54} \times \frac{5}{3}$

• Multiply the Numerators: $53 \times 5 = 265$
• Multiply the Denominators: $54 \times 3 = 162$
• Form the New Fraction: $\frac{53}{54} \times \frac{3}{5} = \frac{265}{162}$

Simplify - Since $\frac{265}{162}$​ is already in its simplest form (there are no common factors between $265$ and $162$ other than $1$), this is the final answer.

Answer $\frac{53}{54}\div\frac{3}{5} = \frac{265}{162}$

The following animation demonstrates the divide-by,