Solve -1/211+21/211

$$- \frac{ 1 }{ 2 } 11+ \frac{ 21 }{ 2 } 11$$

Evaluate

$$110$$

Solution Steps

Express -\frac{1}{2}\times 11 as a single fraction.

$$\frac{-11}{2}+\frac{21}{2}\times 11$$

Fraction \frac{-11}{2} can be rewritten as -\frac{11}{2} by extracting the negative sign.

$$-\frac{11}{2}+\frac{21}{2}\times 11$$

Express \frac{21}{2}\times 11 as a single fraction.

$$-\frac{11}{2}+\frac{21\times 11}{2}$$

Multiply 21 and 11 to get 231.

$$-\frac{11}{2}+\frac{231}{2}$$

Since -\frac{11}{2} and \frac{231}{2} have the same denominator, add them by adding their numerators.

$$\frac{-11+231}{2}$$

Add -11 and 231 to get 220.

$$\frac{220}{2}$$

Divide 220 by 2 to get 110.

$$110$$

Factor

$$2\times 5\times 11$$