Solve -2*1/3+1-7

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

Evaluate

$$-\frac{20}{3}\approx -6.666666667$$

Solution Steps

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

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

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

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

Convert 1 to fraction \frac{3}{3}.

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

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

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

Add -2 and 3 to get 1.

$$\frac{1}{3}-7$$

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

$$\frac{1}{3}-\frac{21}{3}$$

Since \frac{1}{3} and \frac{21}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-21}{3}$$

Subtract 21 from 1 to get -20.

$$-\frac{20}{3}$$

Factor

$$-\frac{20}{3} = -6\frac{2}{3} = -6.666666666666667$$