What is 45/24 Divided By 2/5

Solving $\frac{45}{24}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{24} \div \frac{2}{5} = \frac{45}{24} \times \frac{5}{2}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $24 \times 2 = 48$
• Form the New Fraction: $\frac{45}{24} \times \frac{2}{5} = \frac{225}{48}$

Let's Simplify $\frac{225}{48}$

• Find the Greatest Common Divisor (GCD) of $225$ and $48$. The GCD of $225$ and $48$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 3}{48 \div 3} = \frac{75}{16}$

Answer $\frac{45}{24}\div\frac{2}{5} = \frac{75}{16}$

The following animation demonstrates the divide-by,