Solve -22/5+-11/6+13/5

$$- 2 \frac { 2 } { 5 } + - 1 \frac { 1 } { 6 } + 1 \frac { 3 } { 5 }$$

Evaluate

$$-\frac{59}{30}\approx -1.966666667$$

Solution Steps

Multiply 2 and 5 to get 10.

$$-\frac{10+2}{5}-\frac{1\times 6+1}{6}+\frac{1\times 5+3}{5}$$

Add 10 and 2 to get 12.

$$-\frac{12}{5}-\frac{1\times 6+1}{6}+\frac{1\times 5+3}{5}$$

Multiply 1 and 6 to get 6.

$$-\frac{12}{5}-\frac{6+1}{6}+\frac{1\times 5+3}{5}$$

Add 6 and 1 to get 7.

$$-\frac{12}{5}-\frac{7}{6}+\frac{1\times 5+3}{5}$$

Least common multiple of 5 and 6 is 30. Convert -\frac{12}{5} and \frac{7}{6} to fractions with denominator 30.

$$-\frac{72}{30}-\frac{35}{30}+\frac{1\times 5+3}{5}$$

Since -\frac{72}{30} and \frac{35}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-72-35}{30}+\frac{1\times 5+3}{5}$$

Subtract 35 from -72 to get -107.

$$-\frac{107}{30}+\frac{1\times 5+3}{5}$$

Multiply 1 and 5 to get 5.

$$-\frac{107}{30}+\frac{5+3}{5}$$

Add 5 and 3 to get 8.

$$-\frac{107}{30}+\frac{8}{5}$$

Least common multiple of 30 and 5 is 30. Convert -\frac{107}{30} and \frac{8}{5} to fractions with denominator 30.

$$-\frac{107}{30}+\frac{48}{30}$$

Since -\frac{107}{30} and \frac{48}{30} have the same denominator, add them by adding their numerators.

$$\frac{-107+48}{30}$$

Add -107 and 48 to get -59.

$$-\frac{59}{30}$$

Factor

$$-\frac{59}{30} = -1\frac{29}{30} = -1.9666666666666666$$