What is 54/48 Divided By 1/4

Solving $\frac{54}{48}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{48} \div \frac{1}{4} = \frac{54}{48} \times \frac{4}{1}$

• Multiply the Numerators: $54 \times 4 = 216$
• Multiply the Denominators: $48 \times 1 = 48$
• Form the New Fraction: $\frac{54}{48} \times \frac{1}{4} = \frac{216}{48}$

Let's Simplify $\frac{216}{48}$

• Find the Greatest Common Divisor (GCD) of $216$ and $48$. The GCD of $216$ and $48$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 24}{48 \div 24} = \frac{9}{2}$

Answer $\frac{54}{48}\div\frac{1}{4} = \frac{9}{2}$

The following animation demonstrates the divide-by,