What is 53/83 Divided By 7/5

Solving $\frac{53}{83}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{83} \div \frac{7}{5} = \frac{53}{83} \times \frac{5}{7}$

• Multiply the Numerators: $53 \times 5 = 265$
• Multiply the Denominators: $83 \times 7 = 581$
• Form the New Fraction: $\frac{53}{83} \times \frac{7}{5} = \frac{265}{581}$

Simplify - Since $\frac{265}{581}$​ is already in its simplest form (there are no common factors between $265$ and $581$ other than $1$), this is the final answer.

Answer $\frac{53}{83}\div\frac{7}{5} = \frac{265}{581}$

The following animation demonstrates the divide-by,