Solve -2(1/3)+1*3-7

$$- 2 ( 1 / 3 ) + 1 \cdot 3 - 7$$

Evaluate

$$-\frac{14}{3}\approx -4.666666667$$

Solution Steps

Multiply -2 and \frac{1}{3} to get \frac{-2}{3}.

$$\frac{-2}{3}+1\times 3-7$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$-\frac{2}{3}+1\times 3-7$$

Multiply 1 and 3 to get 3.

$$-\frac{2}{3}+3-7$$

Convert 3 to fraction \frac{9}{3}.

$$-\frac{2}{3}+\frac{9}{3}-7$$

Since -\frac{2}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$\frac{-2+9}{3}-7$$

Add -2 and 9 to get 7.

$$\frac{7}{3}-7$$

Convert 7 to fraction \frac{21}{3}.

$$\frac{7}{3}-\frac{21}{3}$$

Since \frac{7}{3} and \frac{21}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-21}{3}$$

Subtract 21 from 7 to get -14.

$$-\frac{14}{3}$$

Factor

$$-\frac{14}{3} = -4\frac{2}{3} = -4.666666666666667$$