What is 48/72 Divided By 3/2

Solving $\frac{48}{72}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{72} \div \frac{3}{2} = \frac{48}{72} \times \frac{2}{3}$

• Multiply the Numerators: $48 \times 2 = 96$
• Multiply the Denominators: $72 \times 3 = 216$
• Form the New Fraction: $\frac{48}{72} \times \frac{3}{2} = \frac{96}{216}$

Let's Simplify $\frac{96}{216}$

• Find the Greatest Common Divisor (GCD) of $96$ and $216$. The GCD of $96$ and $216$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{96 \div 24}{216 \div 24} = \frac{4}{9}$

Answer $\frac{48}{72}\div\frac{3}{2} = \frac{4}{9}$

The following animation demonstrates the divide-by,