What is 12/42 Divided By 3/7

Solving $\frac{12}{42}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{42} \div \frac{3}{7} = \frac{12}{42} \times \frac{7}{3}$

• Multiply the Numerators: $12 \times 7 = 84$
• Multiply the Denominators: $42 \times 3 = 126$
• Form the New Fraction: $\frac{12}{42} \times \frac{3}{7} = \frac{84}{126}$

Let's Simplify $\frac{84}{126}$

• Find the Greatest Common Divisor (GCD) of $84$ and $126$. The GCD of $84$ and $126$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{84 \div 42}{126 \div 42} = \frac{2}{3}$

Answer $\frac{12}{42}\div\frac{3}{7} = \frac{2}{3}$

The following animation demonstrates the divide-by,