What is 12/42 Divided By 4/9

Solving $\frac{12}{42}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{42} \div \frac{4}{9} = \frac{12}{42} \times \frac{9}{4}$

• Multiply the Numerators: $12 \times 9 = 108$
• Multiply the Denominators: $42 \times 4 = 168$
• Form the New Fraction: $\frac{12}{42} \times \frac{4}{9} = \frac{108}{168}$

Let's Simplify $\frac{108}{168}$

• Find the Greatest Common Divisor (GCD) of $108$ and $168$. The GCD of $108$ and $168$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 12}{168 \div 12} = \frac{9}{14}$

Answer $\frac{12}{42}\div\frac{4}{9} = \frac{9}{14}$

The following animation demonstrates the divide-by,