What is 72/81 Divided By 3/2

Solving $\frac{72}{81}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{81} \div \frac{3}{2} = \frac{72}{81} \times \frac{2}{3}$

• Multiply the Numerators: $72 \times 2 = 144$
• Multiply the Denominators: $81 \times 3 = 243$
• Form the New Fraction: $\frac{72}{81} \times \frac{3}{2} = \frac{144}{243}$

Let's Simplify $\frac{144}{243}$

• Find the Greatest Common Divisor (GCD) of $144$ and $243$. The GCD of $144$ and $243$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 9}{243 \div 9} = \frac{16}{27}$

Answer $\frac{72}{81}\div\frac{3}{2} = \frac{16}{27}$

The following animation demonstrates the divide-by,