What is 24/42 Divided By 2/3

Solving $\frac{24}{42}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{42} \div \frac{2}{3} = \frac{24}{42} \times \frac{3}{2}$

• Multiply the Numerators: $24 \times 3 = 72$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{24}{42} \times \frac{2}{3} = \frac{72}{84}$

Let's Simplify $\frac{72}{84}$

• Find the Greatest Common Divisor (GCD) of $72$ and $84$. The GCD of $72$ and $84$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{72 \div 12}{84 \div 12} = \frac{6}{7}$

Answer $\frac{24}{42}\div\frac{2}{3} = \frac{6}{7}$

The following animation demonstrates the divide-by,