Solve 1/6-3/4+2=

$$\frac { 1 } { 6 } - \frac { 3 } { 4 } + 2 =$$

Evaluate

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

Solution Steps

Least common multiple of 6 and 4 is 12. Convert \frac{1}{6} and \frac{3}{4} to fractions with denominator 12.

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

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

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

Subtract 9 from 2 to get -7.

$$-\frac{7}{12}+2$$

Convert 2 to fraction \frac{24}{12}.

$$-\frac{7}{12}+\frac{24}{12}$$

Since -\frac{7}{12} and \frac{24}{12} have the same denominator, add them by adding their numerators.

$$\frac{-7+24}{12}$$

Add -7 and 24 to get 17.

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

Factor

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