What is 74/70 Divided By 1/6

Solving $\frac{74}{70}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{70} \div \frac{1}{6} = \frac{74}{70} \times \frac{6}{1}$

• Multiply the Numerators: $74 \times 6 = 444$
• Multiply the Denominators: $70 \times 1 = 70$
• Form the New Fraction: $\frac{74}{70} \times \frac{1}{6} = \frac{444}{70}$

Let's Simplify $\frac{444}{70}$

• Find the Greatest Common Divisor (GCD) of $444$ and $70$. The GCD of $444$ and $70$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{444 \div 2}{70 \div 2} = \frac{222}{35}$

Answer $\frac{74}{70}\div\frac{1}{6} = \frac{222}{35}$

The following animation demonstrates the divide-by,