What is 48/81 Divided By 3/2

Solving $\frac{48}{81}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{81} \div \frac{3}{2} = \frac{48}{81} \times \frac{2}{3}$

• Multiply the Numerators: $48 \times 2 = 96$
• Multiply the Denominators: $81 \times 3 = 243$
• Form the New Fraction: $\frac{48}{81} \times \frac{3}{2} = \frac{96}{243}$

Let's Simplify $\frac{96}{243}$

• Find the Greatest Common Divisor (GCD) of $96$ and $243$. The GCD of $96$ and $243$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{96 \div 3}{243 \div 3} = \frac{32}{81}$

Answer $\frac{48}{81}\div\frac{3}{2} = \frac{32}{81}$

The following animation demonstrates the divide-by,