What is 24/74 Divided By 2/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,