What is 75/34 Divided By 9/4

Solving $\frac{75}{34}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{34} \div \frac{9}{4} = \frac{75}{34} \times \frac{4}{9}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $34 \times 9 = 306$
• Form the New Fraction: $\frac{75}{34} \times \frac{9}{4} = \frac{300}{306}$

Let's Simplify $\frac{300}{306}$

• Find the Greatest Common Divisor (GCD) of $300$ and $306$. The GCD of $300$ and $306$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 6}{306 \div 6} = \frac{50}{51}$

Answer $\frac{75}{34}\div\frac{9}{4} = \frac{50}{51}$

The following animation demonstrates the divide-by,