What is 75/12 Divided By 2/4

Solving $\frac{75}{12}\div\frac{2}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{12} \div \frac{2}{4} = \frac{75}{12} \times \frac{4}{2}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $12 \times 2 = 24$
• Form the New Fraction: $\frac{75}{12} \times \frac{2}{4} = \frac{300}{24}$

Let's Simplify $\frac{300}{24}$

• Find the Greatest Common Divisor (GCD) of $300$ and $24$. The GCD of $300$ and $24$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 12}{24 \div 12} = \frac{25}{2}$

Answer $\frac{75}{12}\div\frac{2}{4} = \frac{25}{2}$

The following animation demonstrates the divide-by,