Solve |1/3*2-2|

$$| \frac { 1 } { 3 } \times 2 - 2 |$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

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

$$|\frac{2}{3}-2|$$

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

$$|\frac{2}{3}-\frac{6}{3}|$$

Since \frac{2}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{2-6}{3}|$$

Subtract 6 from 2 to get -4.

$$|-\frac{4}{3}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{4}{3} is \frac{4}{3}.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$