Solve -1/4+5/6+2/3+1/2

$$- \frac { 1 } { 4 } + \frac { 5 } { 6 } + \frac { 2 } { 3 } + \frac { 1 } { 2 }$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert -\frac{1}{4} and \frac{5}{6} to fractions with denominator 12.

$$-\frac{3}{12}+\frac{10}{12}+\frac{2}{3}+\frac{1}{2}$$

Since -\frac{3}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{-3+10}{12}+\frac{2}{3}+\frac{1}{2}$$

Add -3 and 10 to get 7.

$$\frac{7}{12}+\frac{2}{3}+\frac{1}{2}$$

Least common multiple of 12 and 3 is 12. Convert \frac{7}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{7}{12}+\frac{8}{12}+\frac{1}{2}$$

Since \frac{7}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{7+8}{12}+\frac{1}{2}$$

Add 7 and 8 to get 15.

$$\frac{15}{12}+\frac{1}{2}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}+\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{5}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{5}{4}+\frac{2}{4}$$

Since \frac{5}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{4}$$

Add 5 and 2 to get 7.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$