What is 45/26 Divided By 8/9

Solving $\frac{45}{26}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{26} \div \frac{8}{9} = \frac{45}{26} \times \frac{9}{8}$

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $26 \times 8 = 208$
• Form the New Fraction: $\frac{45}{26} \times \frac{8}{9} = \frac{405}{208}$

Simplify - Since $\frac{405}{208}$​ is already in its simplest form (there are no common factors between $405$ and $208$ other than $1$), this is the final answer.

Answer $\frac{45}{26}\div\frac{8}{9} = \frac{405}{208}$

The following animation demonstrates the divide-by,