What is 18/75 Divided By 1/4

Solving $\frac{18}{75}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{75} \div \frac{1}{4} = \frac{18}{75} \times \frac{4}{1}$

• Multiply the Numerators: $18 \times 4 = 72$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{18}{75} \times \frac{1}{4} = \frac{72}{75}$

Let's Simplify $\frac{72}{75}$

• Find the Greatest Common Divisor (GCD) of $72$ and $75$. The GCD of $72$ and $75$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{72 \div 3}{75 \div 3} = \frac{24}{25}$

Answer $\frac{18}{75}\div\frac{1}{4} = \frac{24}{25}$

The following animation demonstrates the divide-by,