Question

Compute: 6 divided 1/3

Answer 1

Given:

`6/(1)/(3)`

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.

`\begin{gathered} \text{The number is to be divided by the fraction }(1)/(3) \\ To\text{ get the reciprocal of the fraction, we reverse the numerator and denominator.} \\ \text{The reciprocal of }(1)/(3)\text{ is }(3)/(1) \end{gathered}`

- Next is to multiply the number by the reciprocal and then simplify.

Hence,

`\begin{gathered} 6/(1)/(3)=6*(3)/(1) \\ =6*3 \\ =18 \\ \\ \text{Thus,} \\ 6/(1)/(3)=18 \end{gathered}`

Therefore, the answer is 18.