What is 50/75 Divided By 2/8

Solving $\frac{50}{75}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{75} \div \frac{2}{8} = \frac{50}{75} \times \frac{8}{2}$

• Multiply the Numerators: $50 \times 8 = 400$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{50}{75} \times \frac{2}{8} = \frac{400}{150}$

Let's Simplify $\frac{400}{150}$

• Find the Greatest Common Divisor (GCD) of $400$ and $150$. The GCD of $400$ and $150$ is $50$.
• Divide both the numerator and the denominator by the GCD:$\frac{400 \div 50}{150 \div 50} = \frac{8}{3}$

Answer $\frac{50}{75}\div\frac{2}{8} = \frac{8}{3}$

The following animation demonstrates the divide-by,