Solve {c}{(-25/4)-(-13/4)}{(+5/4)-(+1/5)}

$$\left. \begin{array} { c } { ( - \frac { 25 } { 4 } ) - ( - \frac { 13 } { 4 } ) } \\ { ( + \frac { 5 } { 4 } ) - ( + \frac { 1 } { 5 } ) } \end{array} \right.$$

Sort

$$-3,\ \frac{21}{20}$$

Solution Steps

The opposite of -\frac{13}{4} is \frac{13}{4}.

$$sort(-\frac{25}{4}+\frac{13}{4},\frac{5}{4}-\frac{1}{5})$$

Since -\frac{25}{4} and \frac{13}{4} have the same denominator, add them by adding their numerators.

$$sort(\frac{-25+13}{4},\frac{5}{4}-\frac{1}{5})$$

Add -25 and 13 to get -12.

$$sort(\frac{-12}{4},\frac{5}{4}-\frac{1}{5})$$

Divide -12 by 4 to get -3.

$$sort(-3,\frac{5}{4}-\frac{1}{5})$$

Least common multiple of 4 and 5 is 20. Convert \frac{5}{4} and \frac{1}{5} to fractions with denominator 20.

$$sort(-3,\frac{25}{20}-\frac{4}{20})$$

Since \frac{25}{20} and \frac{4}{20} have the same denominator, subtract them by subtracting their numerators.

$$sort(-3,\frac{25-4}{20})$$

Subtract 4 from 25 to get 21.

$$sort(-3,\frac{21}{20})$$

Convert decimal numbers in the list -3,\frac{21}{20} to fractions.

$$-3,\frac{21}{20}$$

Evaluate

$$-3,\ \frac{21}{20}$$