What is 24/33 Divided By 4/7

Solving $\frac{24}{33}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{33} \div \frac{4}{7} = \frac{24}{33} \times \frac{7}{4}$

• Multiply the Numerators: $24 \times 7 = 168$
• Multiply the Denominators: $33 \times 4 = 132$
• Form the New Fraction: $\frac{24}{33} \times \frac{4}{7} = \frac{168}{132}$

Let's Simplify $\frac{168}{132}$

• Find the Greatest Common Divisor (GCD) of $168$ and $132$. The GCD of $168$ and $132$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 12}{132 \div 12} = \frac{14}{11}$

Answer $\frac{24}{33}\div\frac{4}{7} = \frac{14}{11}$

The following animation demonstrates the divide-by,