Solve -2/5,-2.47,-21/2,5,21/4

$$- \frac { 2 } { 5 } , - 2.47 , - 2 \frac { 1 } { 2 } , 5 , \frac { 21 } { 4 }$$

Sort

$$-2.5,-2.47,-0.4,5,5.25$$

Solution Steps

Multiply 2 and 2 to get 4.

$$sort(-\frac{2}{5},-2.47,-\frac{4+1}{2},5,\frac{21}{4})$$

Add 4 and 1 to get 5.

$$sort(-\frac{2}{5},-2.47,-\frac{5}{2},5,\frac{21}{4})$$

Convert decimal numbers in the list -\frac{2}{5},-2.47,-\frac{5}{2},5,\frac{21}{4} to fractions.

$$-\frac{2}{5},-\frac{247}{100},-\frac{5}{2},5,\frac{21}{4}$$

Least common denominator of the numbers in the list -\frac{2}{5},-\frac{247}{100},-\frac{5}{2},5,\frac{21}{4} is 100. Convert numbers in the list to fractions with denominator 100.

$$-\frac{40}{100},-\frac{247}{100},-\frac{250}{100},\frac{500}{100},\frac{525}{100}$$

To sort the list, start from a single element -\frac{40}{100}.

$$-\frac{40}{100}$$

Insert -\frac{247}{100} to the appropriate location in the new list.

$$-\frac{247}{100},-\frac{40}{100}$$

Insert -\frac{250}{100} to the appropriate location in the new list.

$$-\frac{250}{100},-\frac{247}{100},-\frac{40}{100}$$

Insert \frac{500}{100} to the appropriate location in the new list.

$$-\frac{250}{100},-\frac{247}{100},-\frac{40}{100},\frac{500}{100}$$

Insert \frac{525}{100} to the appropriate location in the new list.

$$-\frac{250}{100},-\frac{247}{100},-\frac{40}{100},\frac{500}{100},\frac{525}{100}$$

Replace the obtained fractions with the initial values.

$$-\frac{5}{2},-2.47,-\frac{2}{5},5,\frac{21}{4}$$

Evaluate

$$-0.4,-2.47,-2.5,5,5.25$$