What is 24/66 Divided By 7/2

Solving $\frac{24}{66}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{66} \div \frac{7}{2} = \frac{24}{66} \times \frac{2}{7}$

• Multiply the Numerators: $24 \times 2 = 48$
• Multiply the Denominators: $66 \times 7 = 462$
• Form the New Fraction: $\frac{24}{66} \times \frac{7}{2} = \frac{48}{462}$

Let's Simplify $\frac{48}{462}$

• Find the Greatest Common Divisor (GCD) of $48$ and $462$. The GCD of $48$ and $462$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{48 \div 6}{462 \div 6} = \frac{8}{77}$

Answer $\frac{24}{66}\div\frac{7}{2} = \frac{8}{77}$

The following animation demonstrates the divide-by,