Solve -12/5,-1.35,-17/9

$$- \frac { 12 } { 5 } , - 1.35 , - 1 \frac { 7 } { 9 }$$

Sort

$$-2.4,-\frac{16}{9},-1.35$$

Solution Steps

Multiply 1 and 9 to get 9.

$$sort(-\frac{12}{5},-1.35,-\frac{9+7}{9})$$

Add 9 and 7 to get 16.

$$sort(-\frac{12}{5},-1.35,-\frac{16}{9})$$

Convert decimal numbers in the list -\frac{12}{5},-1.35,-\frac{16}{9} to fractions.

$$-\frac{12}{5},-\frac{27}{20},-\frac{16}{9}$$

Least common denominator of the numbers in the list -\frac{12}{5},-\frac{27}{20},-\frac{16}{9} is 180. Convert numbers in the list to fractions with denominator 180.

$$-\frac{432}{180},-\frac{243}{180},-\frac{320}{180}$$

To sort the list, start from a single element -\frac{432}{180}.

$$-\frac{432}{180}$$

Insert -\frac{243}{180} to the appropriate location in the new list.

$$-\frac{432}{180},-\frac{243}{180}$$

Insert -\frac{320}{180} to the appropriate location in the new list.

$$-\frac{432}{180},-\frac{320}{180},-\frac{243}{180}$$

Replace the obtained fractions with the initial values.

$$-\frac{12}{5},-\frac{16}{9},-1.35$$

Evaluate

$$-2.4,-1.35,-\frac{16}{9}$$