What is 74/42 Divided By 1/6

Solving $\frac{74}{42}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{42} \div \frac{1}{6} = \frac{74}{42} \times \frac{6}{1}$

• Multiply the Numerators: $74 \times 6 = 444$
• Multiply the Denominators: $42 \times 1 = 42$
• Form the New Fraction: $\frac{74}{42} \times \frac{1}{6} = \frac{444}{42}$

Let's Simplify $\frac{444}{42}$

• Find the Greatest Common Divisor (GCD) of $444$ and $42$. The GCD of $444$ and $42$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{444 \div 6}{42 \div 6} = \frac{74}{7}$

Answer $\frac{74}{42}\div\frac{1}{6} = \frac{74}{7}$

The following animation demonstrates the divide-by,