Solve 2/12+6/4+4/2=

$$\frac { 2 } { 12 } + \frac { 6 } { 4 } + \frac { 4 } { 2 } =$$

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Solution Steps

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

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

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

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

$$\frac{1}{6}+\frac{9}{6}+\frac{4}{2}$$

Since \frac{1}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.

$$\frac{1+9}{6}+\frac{4}{2}$$

Add 1 and 9 to get 10.

$$\frac{10}{6}+\frac{4}{2}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}+\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$\frac{5}{3}+2$$

Convert 2 to fraction \frac{6}{3}.

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

Since \frac{5}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

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

Add 5 and 6 to get 11.

$$\frac{11}{3}$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$