What is 54/11 Divided By 3/4

Solving $\frac{54}{11}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{11} \div \frac{3}{4} = \frac{54}{11} \times \frac{4}{3}$

• Multiply the Numerators: $54 \times 4 = 216$
• Multiply the Denominators: $11 \times 3 = 33$
• Form the New Fraction: $\frac{54}{11} \times \frac{3}{4} = \frac{216}{33}$

Let's Simplify $\frac{216}{33}$

• Find the Greatest Common Divisor (GCD) of $216$ and $33$. The GCD of $216$ and $33$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 3}{33 \div 3} = \frac{72}{11}$

Answer $\frac{54}{11}\div\frac{3}{4} = \frac{72}{11}$

The following animation demonstrates the divide-by,