What is 24/75 Divided By 4/5

Solving $\frac{24}{75}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{75} \div \frac{4}{5} = \frac{24}{75} \times \frac{5}{4}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{24}{75} \times \frac{4}{5} = \frac{120}{300}$

Let's Simplify $\frac{120}{300}$

• Find the Greatest Common Divisor (GCD) of $120$ and $300$. The GCD of $120$ and $300$ is $60$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 60}{300 \div 60} = \frac{2}{5}$

Answer $\frac{24}{75}\div\frac{4}{5} = \frac{2}{5}$

The following animation demonstrates the divide-by,