What is 74/75 Divided By 4/9

Solving $\frac{74}{75}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{75} \div \frac{4}{9} = \frac{74}{75} \times \frac{9}{4}$

• Multiply the Numerators: $74 \times 9 = 666$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{74}{75} \times \frac{4}{9} = \frac{666}{300}$

Let's Simplify $\frac{666}{300}$

• Find the Greatest Common Divisor (GCD) of $666$ and $300$. The GCD of $666$ and $300$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{666 \div 6}{300 \div 6} = \frac{111}{50}$

Answer $\frac{74}{75}\div\frac{4}{9} = \frac{111}{50}$

The following animation demonstrates the divide-by,