What is 54/66 Divided By 3/2

Solving $\frac{54}{66}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{66} \div \frac{3}{2} = \frac{54}{66} \times \frac{2}{3}$

• Multiply the Numerators: $54 \times 2 = 108$
• Multiply the Denominators: $66 \times 3 = 198$
• Form the New Fraction: $\frac{54}{66} \times \frac{3}{2} = \frac{108}{198}$

Let's Simplify $\frac{108}{198}$

• Find the Greatest Common Divisor (GCD) of $108$ and $198$. The GCD of $108$ and $198$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 18}{198 \div 18} = \frac{6}{11}$

Answer $\frac{54}{66}\div\frac{3}{2} = \frac{6}{11}$

The following animation demonstrates the divide-by,