Solve |32/3-2*2|

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

Evaluate

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

Solution Steps

Multiply 3 and 3 to get 9.

$$|\frac{9+2}{3}-2\times 2|$$

Add 9 and 2 to get 11.

$$|\frac{11}{3}-2\times 2|$$

Multiply 2 and 2 to get 4.

$$|\frac{11}{3}-4|$$

Convert 4 to fraction \frac{12}{3}.

$$|\frac{11}{3}-\frac{12}{3}|$$

Since \frac{11}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{11-12}{3}|$$

Subtract 12 from 11 to get -1.

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

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{1}{3} is \frac{1}{3}.

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

Factor

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