What is 54/72 Divided By 9/2

Solving $\frac{54}{72}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{72} \div \frac{9}{2} = \frac{54}{72} \times \frac{2}{9}$

• Multiply the Numerators: $54 \times 2 = 108$
• Multiply the Denominators: $72 \times 9 = 648$
• Form the New Fraction: $\frac{54}{72} \times \frac{9}{2} = \frac{108}{648}$

Let's Simplify $\frac{108}{648}$

• Find the Greatest Common Divisor (GCD) of $108$ and $648$. The GCD of $108$ and $648$ is $108$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 108}{648 \div 108} = \frac{1}{6}$

Answer $\frac{54}{72}\div\frac{9}{2} = \frac{1}{6}$

The following animation demonstrates the divide-by,