Solve 3/4+2/3+1/2

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

Evaluate

$$\frac{23}{12}\approx 1.916666667$$

Solution Steps

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

$$\frac{9}{12}+\frac{8}{12}+\frac{1}{2}$$

Since \frac{9}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+8}{12}+\frac{1}{2}$$

Add 9 and 8 to get 17.

$$\frac{17}{12}+\frac{1}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{17}{12} and \frac{1}{2} to fractions with denominator 12.

$$\frac{17}{12}+\frac{6}{12}$$

Since \frac{17}{12} and \frac{6}{12} have the same denominator, add them by adding their numerators.

$$\frac{17+6}{12}$$

Add 17 and 6 to get 23.

$$\frac{23}{12}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 3} = 1\frac{11}{12} = 1.9166666666666667$$