What is 24/72 Divided By 2/3

Solving $\frac{24}{72}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{72} \div \frac{2}{3} = \frac{24}{72} \times \frac{3}{2}$

• Multiply the Numerators: $24 \times 3 = 72$
• Multiply the Denominators: $72 \times 2 = 144$
• Form the New Fraction: $\frac{24}{72} \times \frac{2}{3} = \frac{72}{144}$

Let's Simplify $\frac{72}{144}$

• Find the Greatest Common Divisor (GCD) of $72$ and $144$. The GCD of $72$ and $144$ is $72$.
• Divide both the numerator and the denominator by the GCD:$\frac{72 \div 72}{144 \div 72} = \frac{1}{2}$

Answer $\frac{24}{72}\div\frac{2}{3} = \frac{1}{2}$

The following animation demonstrates the divide-by,