Solve left|1/3-1right|-2*1/3=0

$$\left| \frac{ 1 }{ 3 } -1 \right| -2 \times \frac{ 1 }{ 3 } =0$$

Verify

Solution Steps

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

$$|\frac{1}{3}-\frac{3}{3}|-2\times \frac{1}{3}=0$$

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

$$|\frac{1-3}{3}|-2\times \frac{1}{3}=0$$

Subtract 3 from 1 to get -2.

$$|-\frac{2}{3}|-2\times \frac{1}{3}=0$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{2}{3} is \frac{2}{3}.

$$\frac{2}{3}-2\times \frac{1}{3}=0$$

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

$$\frac{2}{3}-\frac{2}{3}=0$$

Subtract \frac{2}{3} from \frac{2}{3} to get 0.

$$0=0$$

Compare 0 and 0.

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