Solve (-3/4+111/2)

$$( - \frac { 3 } { 4 } + 1 \frac { 11 } { 2 } )$$

Evaluate

$$\frac{23}{4}=5.75$$

Solution Steps

Multiply 1 and 2 to get 2.

$$-\frac{3}{4}+\frac{2+11}{2}$$

Add 2 and 11 to get 13.

$$-\frac{3}{4}+\frac{13}{2}$$

Least common multiple of 4 and 2 is 4. Convert -\frac{3}{4} and \frac{13}{2} to fractions with denominator 4.

$$-\frac{3}{4}+\frac{26}{4}$$

Since -\frac{3}{4} and \frac{26}{4} have the same denominator, add them by adding their numerators.

$$\frac{-3+26}{4}$$

Add -3 and 26 to get 23.

$$\frac{23}{4}$$

Factor

$$\frac{23}{2 ^ {2}} = 5\frac{3}{4} = 5.75$$