Solve 1/3+(1/2+3/4)

$$\frac { 1 } { 3 } + ( \frac { 1 } { 2 } + \frac { 3 } { 4 } )$$

Evaluate

$$\frac{19}{12}\approx 1.583333333$$

Solution Steps

Least common multiple of 3 and 2 is 6. Convert \frac{1}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{2}{6}+\frac{3}{6}+\frac{3}{4}$$

Since \frac{2}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{6}+\frac{3}{4}$$

Add 2 and 3 to get 5.

$$\frac{5}{6}+\frac{3}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{10}{12}+\frac{9}{12}$$

Since \frac{10}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{10+9}{12}$$

Add 10 and 9 to get 19.

$$\frac{19}{12}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3} = 1\frac{7}{12} = 1.5833333333333333$$