Solve 2*(1/3+2)-5

$$2 \cdot ( \frac { 1 } { 3 } + 2 ) - 5$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Convert 2 to fraction \frac{6}{3}.

$$2\left(\frac{1}{3}+\frac{6}{3}\right)-5$$

Since \frac{1}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$2\times \frac{1+6}{3}-5$$

Add 1 and 6 to get 7.

$$2\times \frac{7}{3}-5$$

Express 2\times \frac{7}{3} as a single fraction.

$$\frac{2\times 7}{3}-5$$

Multiply 2 and 7 to get 14.

$$\frac{14}{3}-5$$

Convert 5 to fraction \frac{15}{3}.

$$\frac{14}{3}-\frac{15}{3}$$

Since \frac{14}{3} and \frac{15}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-15}{3}$$

Subtract 15 from 14 to get -1.

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

Factor

$$-\frac{1}{3} = -0.3333333333333333$$