Question

divide.
\\(\frac{6}{7} \div 4 = \square\\)
submit

Explanation:

Step1: Recall division of fraction rule

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number. The reciprocal of 4 is $\frac{1}{4}$. So, $\frac{6}{7} \div 4=\frac{6}{7} \times \frac{1}{4}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $6\times1 = 6$. Multiply the denominators: $7\times4 = 28$. So we get $\frac{6}{28}$.

Step3: Simplify the fraction

We can simplify $\frac{6}{28}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2. $\frac{6\div2}{28\div2}=\frac{3}{14}$.

Answer:

$\frac{3}{14}$