Solve (-1/2)+3/5+7/6=

$$( \frac { - 1 } { 2 } ) + \frac { 3 } { 5 } + \frac { 7 } { 6 } =$$

Evaluate

$$\frac{19}{15}\approx 1.266666667$$

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$-\frac{1}{2}+\frac{3}{5}+\frac{7}{6}$$

Least common multiple of 2 and 5 is 10. Convert -\frac{1}{2} and \frac{3}{5} to fractions with denominator 10.

$$-\frac{5}{10}+\frac{6}{10}+\frac{7}{6}$$

Since -\frac{5}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{-5+6}{10}+\frac{7}{6}$$

Add -5 and 6 to get 1.

$$\frac{1}{10}+\frac{7}{6}$$

Least common multiple of 10 and 6 is 30. Convert \frac{1}{10} and \frac{7}{6} to fractions with denominator 30.

$$\frac{3}{30}+\frac{35}{30}$$

Since \frac{3}{30} and \frac{35}{30} have the same denominator, add them by adding their numerators.

$$\frac{3+35}{30}$$

Add 3 and 35 to get 38.

$$\frac{38}{30}$$

Reduce the fraction \frac{38}{30} to lowest terms by extracting and canceling out 2.

$$\frac{19}{15}$$

Factor

$$\frac{19}{3 \cdot 5} = 1\frac{4}{15} = 1.2666666666666666$$