What is 45/24 Divided By 4/5

Solving $\frac{45}{24}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{24} \div \frac{4}{5} = \frac{45}{24} \times \frac{5}{4}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{45}{24} \times \frac{4}{5} = \frac{225}{96}$

Let's Simplify $\frac{225}{96}$

• Find the Greatest Common Divisor (GCD) of $225$ and $96$. The GCD of $225$ and $96$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 3}{96 \div 3} = \frac{75}{32}$

Answer $\frac{45}{24}\div\frac{4}{5} = \frac{75}{32}$

The following animation demonstrates the divide-by,