What is 72/81 Divided By 4/3

Solving $\frac{72}{81}\div\frac{4}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{81} \div \frac{4}{3} = \frac{72}{81} \times \frac{3}{4}$

• Multiply the Numerators: $72 \times 3 = 216$
• Multiply the Denominators: $81 \times 4 = 324$
• Form the New Fraction: $\frac{72}{81} \times \frac{4}{3} = \frac{216}{324}$

Let's Simplify $\frac{216}{324}$

• Find the Greatest Common Divisor (GCD) of $216$ and $324$. The GCD of $216$ and $324$ is $108$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 108}{324 \div 108} = \frac{2}{3}$

Answer $\frac{72}{81}\div\frac{4}{3} = \frac{2}{3}$

The following animation demonstrates the divide-by,