What is 57/53 Divided By 2/5

Solving $\frac{57}{53}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{53} \div \frac{2}{5} = \frac{57}{53} \times \frac{5}{2}$

• Multiply the Numerators: $57 \times 5 = 285$
• Multiply the Denominators: $53 \times 2 = 106$
• Form the New Fraction: $\frac{57}{53} \times \frac{2}{5} = \frac{285}{106}$

Simplify - Since $\frac{285}{106}$​ is already in its simplest form (there are no common factors between $285$ and $106$ other than $1$), this is the final answer.

Answer $\frac{57}{53}\div\frac{2}{5} = \frac{285}{106}$

The following animation demonstrates the divide-by,