What is 26/89 Divided By 5/8

Solving $\frac{26}{89}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{89} \div \frac{5}{8} = \frac{26}{89} \times \frac{8}{5}$

• Multiply the Numerators: $26 \times 8 = 208$
• Multiply the Denominators: $89 \times 5 = 445$
• Form the New Fraction: $\frac{26}{89} \times \frac{5}{8} = \frac{208}{445}$

Simplify - Since $\frac{208}{445}$​ is already in its simplest form (there are no common factors between $208$ and $445$ other than $1$), this is the final answer.

Answer $\frac{26}{89}\div\frac{5}{8} = \frac{208}{445}$

The following animation demonstrates the divide-by,