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

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

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert -\frac{3}{4} and \frac{2}{3} to fractions with denominator 12.

$$|-\frac{9}{12}-\frac{8}{12}|$$

Since -\frac{9}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{-9-8}{12}|$$

Subtract 8 from -9 to get -17.

$$|-\frac{17}{12}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{17}{12} is \frac{17}{12}.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$