What is 75/50 Divided By 5/8

Solving $\frac{75}{50}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{50} \div \frac{5}{8} = \frac{75}{50} \times \frac{8}{5}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $50 \times 5 = 250$
• Form the New Fraction: $\frac{75}{50} \times \frac{5}{8} = \frac{600}{250}$

Let's Simplify $\frac{600}{250}$

• Find the Greatest Common Divisor (GCD) of $600$ and $250$. The GCD of $600$ and $250$ is $50$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 50}{250 \div 50} = \frac{12}{5}$

Answer $\frac{75}{50}\div\frac{5}{8} = \frac{12}{5}$

The following animation demonstrates the divide-by,