Solve {l}{3}{-(1/3+2)}{.1}

$$\left. \begin{array} { l } { 3 } \\ { - ( \frac { 1 } { 3 } + 2 ) } \\ { .1 } \end{array} \right.$$

Sort

$$-\frac{7}{3},0.1,3$$

Solution Steps

Convert 2 to fraction \frac{6}{3}.

$$sort(3,-\left(\frac{1}{3}+\frac{6}{3}\right),0.1)$$

Since \frac{1}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$sort(3,-\frac{1+6}{3},0.1)$$

Add 1 and 6 to get 7.

$$sort(3,-\frac{7}{3},0.1)$$

Convert decimal numbers in the list 3,-\frac{7}{3},0.1 to fractions.

$$3,-\frac{7}{3},\frac{1}{10}$$

Least common denominator of the numbers in the list 3,-\frac{7}{3},\frac{1}{10} is 30. Convert numbers in the list to fractions with denominator 30.

$$\frac{90}{30},-\frac{70}{30},\frac{3}{30}$$

To sort the list, start from a single element \frac{90}{30}.

$$\frac{90}{30}$$

Insert -\frac{70}{30} to the appropriate location in the new list.

$$-\frac{70}{30},\frac{90}{30}$$

Insert \frac{3}{30} to the appropriate location in the new list.

$$-\frac{70}{30},\frac{3}{30},\frac{90}{30}$$

Replace the obtained fractions with the initial values.

$$-\frac{7}{3},0.1,3$$

Evaluate

$$3,\ -\frac{7}{3},\ 0.1$$