Question

solve the following.
\\( \frac{1}{11} \div 5 = ? \\)
\\( \circ \\) a. \\( \frac{1}{55} \\)
\\( \circ \\) b. \\( 2\frac{1}{5} \\)
\\( \circ \\) c. \\( \frac{5}{16} \\)
\\( \circ \\) d. \\( \frac{5}{11} \\)

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 5 is $\frac{1}{5}$. So, $\frac{1}{11} \div 5=\frac{1}{11} \times \frac{1}{5}$.

Step2: Multiply the fractions

Multiply the numerators and the denominators: $\frac{1\times1}{11\times5}=\frac{1}{55}$.

Answer:

A. $\frac{1}{55}$