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

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

Evaluate

$$\frac{35}{12}\approx 2.916666667$$

Solution Steps

Anything divided by one gives itself.

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

Convert 2 to fraction \frac{8}{4}.

$$\frac{8}{4}+\frac{3}{4}+\frac{1}{6}$$

Since \frac{8}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{4}+\frac{1}{6}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}+\frac{1}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{11}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{33}{12}+\frac{2}{12}$$

Since \frac{33}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{33+2}{12}$$

Add 33 and 2 to get 35.

$$\frac{35}{12}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3} = 2\frac{11}{12} = 2.9166666666666665$$