What is 75/22 Divided By 9/4

Solving $\frac{75}{22}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{22} \div \frac{9}{4} = \frac{75}{22} \times \frac{4}{9}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $22 \times 9 = 198$
• Form the New Fraction: $\frac{75}{22} \times \frac{9}{4} = \frac{300}{198}$

Let's Simplify $\frac{300}{198}$

• Find the Greatest Common Divisor (GCD) of $300$ and $198$. The GCD of $300$ and $198$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 6}{198 \div 6} = \frac{50}{33}$

Answer $\frac{75}{22}\div\frac{9}{4} = \frac{50}{33}$

The following animation demonstrates the divide-by,