What is 72/42 Divided By 4/6

Solving $\frac{72}{42}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{42} \div \frac{4}{6} = \frac{72}{42} \times \frac{6}{4}$

• Multiply the Numerators: $72 \times 6 = 432$
• Multiply the Denominators: $42 \times 4 = 168$
• Form the New Fraction: $\frac{72}{42} \times \frac{4}{6} = \frac{432}{168}$

Let's Simplify $\frac{432}{168}$

• Find the Greatest Common Divisor (GCD) of $432$ and $168$. The GCD of $432$ and $168$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 24}{168 \div 24} = \frac{18}{7}$

Answer $\frac{72}{42}\div\frac{4}{6} = \frac{18}{7}$

The following animation demonstrates the divide-by,