What is 26/53 Divided By 5/2

Solving $\frac{26}{53}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{53} \div \frac{5}{2} = \frac{26}{53} \times \frac{2}{5}$

• Multiply the Numerators: $26 \times 2 = 52$
• Multiply the Denominators: $53 \times 5 = 265$
• Form the New Fraction: $\frac{26}{53} \times \frac{5}{2} = \frac{52}{265}$

Simplify - Since $\frac{52}{265}$​ is already in its simplest form (there are no common factors between $52$ and $265$ other than $1$), this is the final answer.

Answer $\frac{26}{53}\div\frac{5}{2} = \frac{52}{265}$

The following animation demonstrates the divide-by,