What is 24/26 Divided By 9/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $24 \times 4 = 96$
• Multiply the Denominators: $26 \times 9 = 234$
• Form the New Fraction: $\frac{24}{26} \times \frac{9}{4} = \frac{96}{234}$

Let's Simplify $\frac{96}{234}$

• Find the Greatest Common Divisor (GCD) of $96$ and $234$. The GCD of $96$ and $234$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{96 \div 6}{234 \div 6} = \frac{16}{39}$

Answer $\frac{24}{26}\div\frac{9}{4} = \frac{16}{39}$

The following animation demonstrates the divide-by,