What is 24/26 Divided By 4/9

Solving $\frac{24}{26}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{26} \div \frac{4}{9} = \frac{24}{26} \times \frac{9}{4}$

• Multiply the Numerators: $24 \times 9 = 216$
• Multiply the Denominators: $26 \times 4 = 104$
• Form the New Fraction: $\frac{24}{26} \times \frac{4}{9} = \frac{216}{104}$

Let's Simplify $\frac{216}{104}$

• Find the Greatest Common Divisor (GCD) of $216$ and $104$. The GCD of $216$ and $104$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 8}{104 \div 8} = \frac{27}{13}$

Answer $\frac{24}{26}\div\frac{4}{9} = \frac{27}{13}$

The following animation demonstrates the divide-by,