Solve +(-21/2)+(+1/2)-(-13/7)

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

Evaluate

$$-\frac{4}{7}\approx -0.571428571$$

Solution Steps

Multiply 2 and 2 to get 4.

$$-\frac{4+1}{2}+\frac{1}{2}-\left(-\frac{1\times 7+3}{7}\right)$$

Add 4 and 1 to get 5.

$$-\frac{5}{2}+\frac{1}{2}-\left(-\frac{1\times 7+3}{7}\right)$$

Since -\frac{5}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{-5+1}{2}-\left(-\frac{1\times 7+3}{7}\right)$$

Add -5 and 1 to get -4.

$$\frac{-4}{2}-\left(-\frac{1\times 7+3}{7}\right)$$

Divide -4 by 2 to get -2.

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

Multiply 1 and 7 to get 7.

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

Add 7 and 3 to get 10.

$$-2-\left(-\frac{10}{7}\right)$$

The opposite of -\frac{10}{7} is \frac{10}{7}.

$$-2+\frac{10}{7}$$

Convert -2 to fraction -\frac{14}{7}.

$$-\frac{14}{7}+\frac{10}{7}$$

Since -\frac{14}{7} and \frac{10}{7} have the same denominator, add them by adding their numerators.

$$\frac{-14+10}{7}$$

Add -14 and 10 to get -4.

$$-\frac{4}{7}$$

Factor

$$-\frac{4}{7} = -0.5714285714285714$$