What is 24/72 Divided By 4/7

Solving $\frac{24}{72}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{72} \div \frac{4}{7} = \frac{24}{72} \times \frac{7}{4}$

• Multiply the Numerators: $24 \times 7 = 168$
• Multiply the Denominators: $72 \times 4 = 288$
• Form the New Fraction: $\frac{24}{72} \times \frac{4}{7} = \frac{168}{288}$

Let's Simplify $\frac{168}{288}$

• Find the Greatest Common Divisor (GCD) of $168$ and $288$. The GCD of $168$ and $288$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 24}{288 \div 24} = \frac{7}{12}$

Answer $\frac{24}{72}\div\frac{4}{7} = \frac{7}{12}$

The following animation demonstrates the divide-by,