Solve -(+42/7)-(-12/3)=

$$- ( + 4 \frac { 2 } { 7 } ) - ( - 1 \frac { 2 } { 3 } ) =$$

Evaluate

$$-\frac{55}{21}\approx -2.619047619$$

Solution Steps

Multiply 4 and 7 to get 28.

$$-\frac{28+2}{7}-\left(-\frac{1\times 3+2}{3}\right)$$

Add 28 and 2 to get 30.

$$-\frac{30}{7}-\left(-\frac{1\times 3+2}{3}\right)$$

Multiply 1 and 3 to get 3.

$$-\frac{30}{7}-\left(-\frac{3+2}{3}\right)$$

Add 3 and 2 to get 5.

$$-\frac{30}{7}-\left(-\frac{5}{3}\right)$$

The opposite of -\frac{5}{3} is \frac{5}{3}.

$$-\frac{30}{7}+\frac{5}{3}$$

Least common multiple of 7 and 3 is 21. Convert -\frac{30}{7} and \frac{5}{3} to fractions with denominator 21.

$$-\frac{90}{21}+\frac{35}{21}$$

Since -\frac{90}{21} and \frac{35}{21} have the same denominator, add them by adding their numerators.

$$\frac{-90+35}{21}$$

Add -90 and 35 to get -55.

$$-\frac{55}{21}$$

Factor

$$-\frac{55}{21} = -2\frac{13}{21} = -2.619047619047619$$