What is 75/28 Divided By 1/4

Solving $\frac{75}{28}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{28} \div \frac{1}{4} = \frac{75}{28} \times \frac{4}{1}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $28 \times 1 = 28$
• Form the New Fraction: $\frac{75}{28} \times \frac{1}{4} = \frac{300}{28}$

Let's Simplify $\frac{300}{28}$

• Find the Greatest Common Divisor (GCD) of $300$ and $28$. The GCD of $300$ and $28$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 4}{28 \div 4} = \frac{75}{7}$

Answer $\frac{75}{28}\div\frac{1}{4} = \frac{75}{7}$

The following animation demonstrates the divide-by,