What is 72/54 Divided By 8/9

Solving $\frac{72}{54}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{54} \div \frac{8}{9} = \frac{72}{54} \times \frac{9}{8}$

• Multiply the Numerators: $72 \times 9 = 648$
• Multiply the Denominators: $54 \times 8 = 432$
• Form the New Fraction: $\frac{72}{54} \times \frac{8}{9} = \frac{648}{432}$

Let's Simplify $\frac{648}{432}$

• Find the Greatest Common Divisor (GCD) of $648$ and $432$. The GCD of $648$ and $432$ is $216$.
• Divide both the numerator and the denominator by the GCD:$\frac{648 \div 216}{432 \div 216} = \frac{3}{2}$

Answer $\frac{72}{54}\div\frac{8}{9} = \frac{3}{2}$

The following animation demonstrates the divide-by,