Solve {l}{3/5*2/5}{3/5-2/5}{frac{3}{5}+frac{2}{5}}

$$\left. \begin{array} { l } { \frac { 3 } { 5 } \cdot \frac { 2 } { 5 } } \\ { \frac { 3 } { 5 } - \frac { 2 } { 5 } } \\ { \frac { 3 } { 5 } + \frac { 2 } { 5 } } \end{array} \right.$$

Sort

$$\frac{1}{5},\frac{6}{25},1$$

Solution Steps

Multiply \frac{3}{5} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{3\times 2}{5\times 5},\frac{3}{5}-\frac{2}{5},\frac{3}{5}+\frac{2}{5})$$

Do the multiplications in the fraction \frac{3\times 2}{5\times 5}.

$$sort(\frac{6}{25},\frac{3}{5}-\frac{2}{5},\frac{3}{5}+\frac{2}{5})$$

Since \frac{3}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{6}{25},\frac{3-2}{5},\frac{3}{5}+\frac{2}{5})$$

Subtract 2 from 3 to get 1.

$$sort(\frac{6}{25},\frac{1}{5},\frac{3}{5}+\frac{2}{5})$$

Since \frac{3}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$sort(\frac{6}{25},\frac{1}{5},\frac{3+2}{5})$$

Add 3 and 2 to get 5.

$$sort(\frac{6}{25},\frac{1}{5},\frac{5}{5})$$

Divide 5 by 5 to get 1.

$$sort(\frac{6}{25},\frac{1}{5},1)$$

Convert decimal numbers in the list \frac{6}{25},\frac{1}{5},1 to fractions.

$$\frac{6}{25},\frac{1}{5},1$$

Least common denominator of the numbers in the list \frac{6}{25},\frac{1}{5},1 is 25. Convert numbers in the list to fractions with denominator 25.

$$\frac{6}{25},\frac{5}{25},\frac{25}{25}$$

To sort the list, start from a single element \frac{6}{25}.

$$\frac{6}{25}$$

Insert \frac{5}{25} to the appropriate location in the new list.

$$\frac{5}{25},\frac{6}{25}$$

Insert \frac{25}{25} to the appropriate location in the new list.

$$\frac{5}{25},\frac{6}{25},\frac{25}{25}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{5},\frac{6}{25},1$$

Evaluate

$$\frac{6}{25},\ \frac{1}{5},\ 1$$