Solve -212/30+-15/30+118/30

$$-2 \frac{ 12 }{ 30 } +-1 \frac{ 5 }{ 30 } +1 \frac{ 18 }{ 30 }$$

Evaluate

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

Solution Steps

Multiply 2 and 30 to get 60.

$$-\frac{60+12}{30}-\frac{1\times 30+5}{30}+\frac{1\times 30+18}{30}$$

Add 60 and 12 to get 72.

$$-\frac{72}{30}-\frac{1\times 30+5}{30}+\frac{1\times 30+18}{30}$$

Reduce the fraction \frac{72}{30} to lowest terms by extracting and canceling out 6.

$$-\frac{12}{5}-\frac{1\times 30+5}{30}+\frac{1\times 30+18}{30}$$

Multiply 1 and 30 to get 30.

$$-\frac{12}{5}-\frac{30+5}{30}+\frac{1\times 30+18}{30}$$

Add 30 and 5 to get 35.

$$-\frac{12}{5}-\frac{35}{30}+\frac{1\times 30+18}{30}$$

Reduce the fraction \frac{35}{30} to lowest terms by extracting and canceling out 5.

$$-\frac{12}{5}-\frac{7}{6}+\frac{1\times 30+18}{30}$$

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

$$-\frac{72}{30}-\frac{35}{30}+\frac{1\times 30+18}{30}$$

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

$$\frac{-72-35}{30}+\frac{1\times 30+18}{30}$$

Subtract 35 from -72 to get -107.

$$-\frac{107}{30}+\frac{1\times 30+18}{30}$$

Multiply 1 and 30 to get 30.

$$-\frac{107}{30}+\frac{30+18}{30}$$

Add 30 and 18 to get 48.

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

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

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