To solve the division of 6 by [tex]\(\frac{1}{3}\)[/tex], follow these steps:
1. Understand that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of [tex]\(\frac{1}{3}\)[/tex] is [tex]\(3\)[/tex], because [tex]\(\frac{1}{3} \times 3 = 1\)[/tex].
2. Rewrite the division problem as a multiplication problem using the reciprocal of [tex]\(\frac{1}{3}\)[/tex]:
[tex]\[
6 \div \frac{1}{3} = 6 \times 3
\][/tex]
3. Perform the multiplication:
[tex]\[
6 \times 3 = 18
\][/tex]
Thus, the result of [tex]\(6 \div \frac{1}{3}\)[/tex] is [tex]\(18\)[/tex].
