What is 50/75 Divided By 1/4

Solving $\frac{50}{75}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{75} \div \frac{1}{4} = \frac{50}{75} \times \frac{4}{1}$

• Multiply the Numerators: $50 \times 4 = 200$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{50}{75} \times \frac{1}{4} = \frac{200}{75}$

Let's Simplify $\frac{200}{75}$

• Find the Greatest Common Divisor (GCD) of $200$ and $75$. The GCD of $200$ and $75$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{200 \div 25}{75 \div 25} = \frac{8}{3}$

Answer $\frac{50}{75}\div\frac{1}{4} = \frac{8}{3}$

The following animation demonstrates the divide-by,