What is 54/11 Divided By 4/6

Solving $\frac{54}{11}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{11} \div \frac{4}{6} = \frac{54}{11} \times \frac{6}{4}$

• Multiply the Numerators: $54 \times 6 = 324$
• Multiply the Denominators: $11 \times 4 = 44$
• Form the New Fraction: $\frac{54}{11} \times \frac{4}{6} = \frac{324}{44}$

Let's Simplify $\frac{324}{44}$

• Find the Greatest Common Divisor (GCD) of $324$ and $44$. The GCD of $324$ and $44$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{324 \div 4}{44 \div 4} = \frac{81}{11}$

Answer $\frac{54}{11}\div\frac{4}{6} = \frac{81}{11}$

The following animation demonstrates the divide-by,