Question

the value of the expression?
\\(\frac{1}{2} div 6\\)

Explanation:

Step1: Recall division of fractions rule

To divide a fraction by a whole number, we can rewrite the whole number as a fraction (with denominator 1) and then multiply by its reciprocal. So, \( \frac{1}{2} \div 6=\frac{1}{2} \div \frac{6}{1} \).

Step2: Multiply by reciprocal

The reciprocal of \( \frac{6}{1} \) is \( \frac{1}{6} \), so we multiply \( \frac{1}{2} \) by \( \frac{1}{6} \). Using the rule for multiplying fractions (\( \frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d} \)), we get \( \frac{1\times1}{2\times6}=\frac{1}{12} \).

Answer:

\(\frac{1}{12}\)