Solve 3/6-12/6+21/6

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

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}-\frac{1\times 6+2}{6}+\frac{2\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{1}{2}-\frac{6+2}{6}+\frac{2\times 6+1}{6}$$

Add 6 and 2 to get 8.

$$\frac{1}{2}-\frac{8}{6}+\frac{2\times 6+1}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{3}{6}-\frac{8}{6}+\frac{2\times 6+1}{6}$$

Since \frac{3}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-8}{6}+\frac{2\times 6+1}{6}$$

Subtract 8 from 3 to get -5.

$$-\frac{5}{6}+\frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$-\frac{5}{6}+\frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$-\frac{5}{6}+\frac{13}{6}$$

Since -\frac{5}{6} and \frac{13}{6} have the same denominator, add them by adding their numerators.

$$\frac{-5+13}{6}$$

Add -5 and 13 to get 8.

$$\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$