Solve left|3/5-1right|+2

$$\left| \frac{ 3 }{ 5 } -1 \right| +2$$

Evaluate

$$\frac{12}{5}=2.4$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

$$|\frac{3}{5}-\frac{5}{5}|+2$$

Since \frac{3}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{3-5}{5}|+2$$

Subtract 5 from 3 to get -2.

$$|-\frac{2}{5}|+2$$

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}{5} is \frac{2}{5}.

$$\frac{2}{5}+2$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{2}{5}+\frac{10}{5}$$

Since \frac{2}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$\frac{2+10}{5}$$

Add 2 and 10 to get 12.

$$\frac{12}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4$$