What is 74/24 Divided By 5/2

Solving $\frac{74}{24}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{24} \div \frac{5}{2} = \frac{74}{24} \times \frac{2}{5}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{74}{24} \times \frac{5}{2} = \frac{148}{120}$

Let's Simplify $\frac{148}{120}$

• Find the Greatest Common Divisor (GCD) of $148$ and $120$. The GCD of $148$ and $120$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{148 \div 4}{120 \div 4} = \frac{37}{30}$

Answer $\frac{74}{24}\div\frac{5}{2} = \frac{37}{30}$

The following animation demonstrates the divide-by,