Question

divide.
\\(\frac{4}{7} \div 2 = \square\\)
submit

Explanation:

Step1: Recall fraction division rule

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number. The reciprocal of 2 is $\frac{1}{2}$. So, $\frac{4}{7} \div 2=\frac{4}{7} \times \frac{1}{2}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $4\times1 = 4$. Multiply the denominators: $7\times2 = 14$. So we get $\frac{4}{14}$.

Step3: Simplify the fraction

Divide both the numerator and the denominator by their greatest common divisor, which is 2. $\frac{4\div2}{14\div2}=\frac{2}{7}$.

Answer:

$\frac{2}{7}$