What is 74/24 Divided By 5/9

Solving $\frac{74}{24}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{24} \div \frac{5}{9} = \frac{74}{24} \times \frac{9}{5}$

• Multiply the Numerators: $74 \times 9 = 666$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{74}{24} \times \frac{5}{9} = \frac{666}{120}$

Let's Simplify $\frac{666}{120}$

• Find the Greatest Common Divisor (GCD) of $666$ and $120$. The GCD of $666$ and $120$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{666 \div 6}{120 \div 6} = \frac{111}{20}$

Answer $\frac{74}{24}\div\frac{5}{9} = \frac{111}{20}$

The following animation demonstrates the divide-by,