Solve (-11/14)+(+4/7)-(-11/2)

$$( - \frac { 11 } { 14 } ) + ( + \frac { 4 } { 7 } ) - ( - 1 \frac { 1 } { 2 } )$$

Evaluate

$$\frac{9}{7}\approx 1.285714286$$

Solution Steps

Least common multiple of 14 and 7 is 14. Convert -\frac{11}{14} and \frac{4}{7} to fractions with denominator 14.

$$-\frac{11}{14}+\frac{8}{14}-\left(-\frac{1\times 2+1}{2}\right)$$

Since -\frac{11}{14} and \frac{8}{14} have the same denominator, add them by adding their numerators.

$$\frac{-11+8}{14}-\left(-\frac{1\times 2+1}{2}\right)$$

Add -11 and 8 to get -3.

$$-\frac{3}{14}-\left(-\frac{1\times 2+1}{2}\right)$$

Multiply 1 and 2 to get 2.

$$-\frac{3}{14}-\left(-\frac{2+1}{2}\right)$$

Add 2 and 1 to get 3.

$$-\frac{3}{14}-\left(-\frac{3}{2}\right)$$

The opposite of -\frac{3}{2} is \frac{3}{2}.

$$-\frac{3}{14}+\frac{3}{2}$$

Least common multiple of 14 and 2 is 14. Convert -\frac{3}{14} and \frac{3}{2} to fractions with denominator 14.

$$-\frac{3}{14}+\frac{21}{14}$$

Since -\frac{3}{14} and \frac{21}{14} have the same denominator, add them by adding their numerators.

$$\frac{-3+21}{14}$$

Add -3 and 21 to get 18.

$$\frac{18}{14}$$

Reduce the fraction \frac{18}{14} to lowest terms by extracting and canceling out 2.

$$\frac{9}{7}$$

Factor

$$\frac{3 ^ {2}}{7} = 1\frac{2}{7} = 1.2857142857142858$$