What is 50/75 Divided By 8/6

Solving $\frac{50}{75}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{75} \div \frac{8}{6} = \frac{50}{75} \times \frac{6}{8}$

• Multiply the Numerators: $50 \times 6 = 300$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{50}{75} \times \frac{8}{6} = \frac{300}{600}$

Let's Simplify $\frac{300}{600}$

• Find the Greatest Common Divisor (GCD) of $300$ and $600$. The GCD of $300$ and $600$ is $300$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 300}{600 \div 300} = \frac{1}{2}$

Answer $\frac{50}{75}\div\frac{8}{6} = \frac{1}{2}$

The following animation demonstrates the divide-by,