What is 42/70 Divided By 1/4

Solving $\frac{42}{70}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{70} \div \frac{1}{4} = \frac{42}{70} \times \frac{4}{1}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $70 \times 1 = 70$
• Form the New Fraction: $\frac{42}{70} \times \frac{1}{4} = \frac{168}{70}$

Let's Simplify $\frac{168}{70}$

• Find the Greatest Common Divisor (GCD) of $168$ and $70$. The GCD of $168$ and $70$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 14}{70 \div 14} = \frac{12}{5}$

Answer $\frac{42}{70}\div\frac{1}{4} = \frac{12}{5}$

The following animation demonstrates the divide-by,