Solve left|4/3-(-2/9right|

$$\left| \frac{ 4 }{ 3 } -(- \frac{ 2 }{ 9 } \right|$$

Evaluate

$$\frac{14}{9}\approx 1.555555556$$

Solution Steps

The opposite of -\frac{2}{9} is \frac{2}{9}.

$$|\frac{4}{3}+\frac{2}{9}|$$

Least common multiple of 3 and 9 is 9. Convert \frac{4}{3} and \frac{2}{9} to fractions with denominator 9.

$$|\frac{12}{9}+\frac{2}{9}|$$

Since \frac{12}{9} and \frac{2}{9} have the same denominator, add them by adding their numerators.

$$|\frac{12+2}{9}|$$

Add 12 and 2 to get 14.

$$|\frac{14}{9}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{14}{9} is \frac{14}{9}.

$$\frac{14}{9}$$

Factor

$$\frac{2 \cdot 7}{3 ^ {2}} = 1\frac{5}{9} = 1.5555555555555556$$