What is 26/50 Divided By 9/8

Solving $\frac{26}{50}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{50} \div \frac{9}{8} = \frac{26}{50} \times \frac{8}{9}$

• Multiply the Numerators: $26 \times 8 = 208$
• Multiply the Denominators: $50 \times 9 = 450$
• Form the New Fraction: $\frac{26}{50} \times \frac{9}{8} = \frac{208}{450}$

Let's Simplify $\frac{208}{450}$

• Find the Greatest Common Divisor (GCD) of $208$ and $450$. The GCD of $208$ and $450$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{208 \div 2}{450 \div 2} = \frac{104}{225}$

Answer $\frac{26}{50}\div\frac{9}{8} = \frac{104}{225}$

The following animation demonstrates the divide-by,