What is 24/42 Divided By 6/7

Solving $\frac{24}{42}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{42} \div \frac{6}{7} = \frac{24}{42} \times \frac{7}{6}$

• Multiply the Numerators: $24 \times 7 = 168$
• Multiply the Denominators: $42 \times 6 = 252$
• Form the New Fraction: $\frac{24}{42} \times \frac{6}{7} = \frac{168}{252}$

Let's Simplify $\frac{168}{252}$

• Find the Greatest Common Divisor (GCD) of $168$ and $252$. The GCD of $168$ and $252$ is $84$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 84}{252 \div 84} = \frac{2}{3}$

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

The following animation demonstrates the divide-by,