What is 50/75 Divided By 5/6

Solving $\frac{50}{75}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{75} \div \frac{5}{6} = \frac{50}{75} \times \frac{6}{5}$

• Multiply the Numerators: $50 \times 6 = 300$
• Multiply the Denominators: $75 \times 5 = 375$
• Form the New Fraction: $\frac{50}{75} \times \frac{5}{6} = \frac{300}{375}$

Let's Simplify $\frac{300}{375}$

• Find the Greatest Common Divisor (GCD) of $300$ and $375$. The GCD of $300$ and $375$ is $75$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 75}{375 \div 75} = \frac{4}{5}$

Answer $\frac{50}{75}\div\frac{5}{6} = \frac{4}{5}$

The following animation demonstrates the divide-by,