Solve 11/6--21/3

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

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{6+1}{6}-\left(-\frac{2\times 3+1}{3}\right)$$

Add 6 and 1 to get 7.

$$\frac{7}{6}-\left(-\frac{2\times 3+1}{3}\right)$$

Multiply 2 and 3 to get 6.

$$\frac{7}{6}-\left(-\frac{6+1}{3}\right)$$

Add 6 and 1 to get 7.

$$\frac{7}{6}-\left(-\frac{7}{3}\right)$$

The opposite of -\frac{7}{3} is \frac{7}{3}.

$$\frac{7}{6}+\frac{7}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{7}{6} and \frac{7}{3} to fractions with denominator 6.

$$\frac{7}{6}+\frac{14}{6}$$

Since \frac{7}{6} and \frac{14}{6} have the same denominator, add them by adding their numerators.

$$\frac{7+14}{6}$$

Add 7 and 14 to get 21.

$$\frac{21}{6}$$

Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$