What is 75/54 Divided By 1/4

Solving $\frac{75}{54}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{54} \div \frac{1}{4} = \frac{75}{54} \times \frac{4}{1}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $54 \times 1 = 54$
• Form the New Fraction: $\frac{75}{54} \times \frac{1}{4} = \frac{300}{54}$

Let's Simplify $\frac{300}{54}$

• Find the Greatest Common Divisor (GCD) of $300$ and $54$. The GCD of $300$ and $54$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 6}{54 \div 6} = \frac{50}{9}$

Answer $\frac{75}{54}\div\frac{1}{4} = \frac{50}{9}$

The following animation demonstrates the divide-by,