What is 24/27 Divided By 2/4

Solving $\frac{24}{27}\div\frac{2}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{27} \div \frac{2}{4} = \frac{24}{27} \times \frac{4}{2}$

• Multiply the Numerators: $24 \times 4 = 96$
• Multiply the Denominators: $27 \times 2 = 54$
• Form the New Fraction: $\frac{24}{27} \times \frac{2}{4} = \frac{96}{54}$

Let's Simplify $\frac{96}{54}$

• Find the Greatest Common Divisor (GCD) of $96$ and $54$. The GCD of $96$ and $54$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{96 \div 6}{54 \div 6} = \frac{16}{9}$

Answer $\frac{24}{27}\div\frac{2}{4} = \frac{16}{9}$

The following animation demonstrates the divide-by,