What is 74/70 Divided By 1/4

Solving $\frac{74}{70}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{70} \div \frac{1}{4} = \frac{74}{70} \times \frac{4}{1}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $70 \times 1 = 70$
• Form the New Fraction: $\frac{74}{70} \times \frac{1}{4} = \frac{296}{70}$

Let's Simplify $\frac{296}{70}$

• Find the Greatest Common Divisor (GCD) of $296$ and $70$. The GCD of $296$ and $70$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{296 \div 2}{70 \div 2} = \frac{148}{35}$

Answer $\frac{74}{70}\div\frac{1}{4} = \frac{148}{35}$

The following animation demonstrates the divide-by,