Solve -12/3-(-14/11)

$$- 1 \frac { 2 } { 3 } - ( - 1 \frac { 4 } { 11 } )$$

Evaluate

$$-\frac{10}{33}\approx -0.303030303$$

Solution Steps

Multiply 1 and 3 to get 3.

$$-\frac{3+2}{3}-\left(-\frac{1\times 11+4}{11}\right)$$

Add 3 and 2 to get 5.

$$-\frac{5}{3}-\left(-\frac{1\times 11+4}{11}\right)$$

Multiply 1 and 11 to get 11.

$$-\frac{5}{3}-\left(-\frac{11+4}{11}\right)$$

Add 11 and 4 to get 15.

$$-\frac{5}{3}-\left(-\frac{15}{11}\right)$$

The opposite of -\frac{15}{11} is \frac{15}{11}.

$$-\frac{5}{3}+\frac{15}{11}$$

Least common multiple of 3 and 11 is 33. Convert -\frac{5}{3} and \frac{15}{11} to fractions with denominator 33.

$$-\frac{55}{33}+\frac{45}{33}$$

Since -\frac{55}{33} and \frac{45}{33} have the same denominator, add them by adding their numerators.

$$\frac{-55+45}{33}$$

Add -55 and 45 to get -10.

$$-\frac{10}{33}$$

Factor

$$-\frac{10}{33} = -0.30303030303030304$$