What is 75/66 Divided By 9/8

Solving $\frac{75}{66}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{66} \div \frac{9}{8} = \frac{75}{66} \times \frac{8}{9}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $66 \times 9 = 594$
• Form the New Fraction: $\frac{75}{66} \times \frac{9}{8} = \frac{600}{594}$

Let's Simplify $\frac{600}{594}$

• Find the Greatest Common Divisor (GCD) of $600$ and $594$. The GCD of $600$ and $594$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 6}{594 \div 6} = \frac{100}{99}$

Answer $\frac{75}{66}\div\frac{9}{8} = \frac{100}{99}$

The following animation demonstrates the divide-by,