What is 24/81 Divided By 2/3

Solving $\frac{24}{81}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{81} \div \frac{2}{3} = \frac{24}{81} \times \frac{3}{2}$

• Multiply the Numerators: $24 \times 3 = 72$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{24}{81} \times \frac{2}{3} = \frac{72}{162}$

Let's Simplify $\frac{72}{162}$

• Find the Greatest Common Divisor (GCD) of $72$ and $162$. The GCD of $72$ and $162$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{72 \div 18}{162 \div 18} = \frac{4}{9}$

Answer $\frac{24}{81}\div\frac{2}{3} = \frac{4}{9}$

The following animation demonstrates the divide-by,