What is 75/50 Divided By 9/8

Solving $\frac{75}{50}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{50} \div \frac{9}{8} = \frac{75}{50} \times \frac{8}{9}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $50 \times 9 = 450$
• Form the New Fraction: $\frac{75}{50} \times \frac{9}{8} = \frac{600}{450}$

Let's Simplify $\frac{600}{450}$

• Find the Greatest Common Divisor (GCD) of $600$ and $450$. The GCD of $600$ and $450$ is $150$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 150}{450 \div 150} = \frac{4}{3}$

Answer $\frac{75}{50}\div\frac{9}{8} = \frac{4}{3}$

The following animation demonstrates the divide-by,