Solution:
Given:
[tex]6\div\frac{1}{3}[/tex]To divide a number by a fraction,
- The first step to divide a number by a fraction is to find the reciprocal (i.e reverse the numerator and denominator) of the fraction.
[tex]\begin{gathered} \text{The number is to be divided by the fraction }\frac{1}{3} \\ To\text{ get the reciprocal of the fraction, we reverse the numerator and denominator.} \\ \text{The reciprocal of }\frac{1}{3}\text{ is }\frac{3}{1} \end{gathered}[/tex]- Next is to multiply the number by the reciprocal and then simplify.
Hence,
[tex]\begin{gathered} 6\div\frac{1}{3}=6\times\frac{3}{1} \\ =6\times3 \\ =18 \\ \\ \text{Thus,} \\ 6\div\frac{1}{3}=18 \end{gathered}[/tex]Therefore, the answer is 18.
