What is 24/75 Divided By 4/7

Solving $\frac{24}{75}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{75} \div \frac{4}{7} = \frac{24}{75} \times \frac{7}{4}$

• Multiply the Numerators: $24 \times 7 = 168$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{24}{75} \times \frac{4}{7} = \frac{168}{300}$

Let's Simplify $\frac{168}{300}$

• Find the Greatest Common Divisor (GCD) of $168$ and $300$. The GCD of $168$ and $300$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 12}{300 \div 12} = \frac{14}{25}$

Answer $\frac{24}{75}\div\frac{4}{7} = \frac{14}{25}$

The following animation demonstrates the divide-by,