What is 75/18 Divided By 9/8

Solving $\frac{75}{18}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{18} \div \frac{9}{8} = \frac{75}{18} \times \frac{8}{9}$

• Multiply the Numerators: $75 \times 8 = 600$
• Multiply the Denominators: $18 \times 9 = 162$
• Form the New Fraction: $\frac{75}{18} \times \frac{9}{8} = \frac{600}{162}$

Let's Simplify $\frac{600}{162}$

• Find the Greatest Common Divisor (GCD) of $600$ and $162$. The GCD of $600$ and $162$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{600 \div 6}{162 \div 6} = \frac{100}{27}$

Answer $\frac{75}{18}\div\frac{9}{8} = \frac{100}{27}$

The following animation demonstrates the divide-by,