What is 75/11 Divided By 9/4

Solving $\frac{75}{11}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{11} \div \frac{9}{4} = \frac{75}{11} \times \frac{4}{9}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $11 \times 9 = 99$
• Form the New Fraction: $\frac{75}{11} \times \frac{9}{4} = \frac{300}{99}$

Let's Simplify $\frac{300}{99}$

• Find the Greatest Common Divisor (GCD) of $300$ and $99$. The GCD of $300$ and $99$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 3}{99 \div 3} = \frac{100}{33}$

Answer $\frac{75}{11}\div\frac{9}{4} = \frac{100}{33}$

The following animation demonstrates the divide-by,