Solve -3/4+13/2+6

$$- \frac{ 3 }{ 4 } + \frac{ 13 }{ 2 } +6$$

Evaluate

$$\frac{47}{4}=11.75$$

Solution Steps

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

$$-\frac{3}{4}+\frac{26}{4}+6$$

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

$$\frac{-3+26}{4}+6$$

Add -3 and 26 to get 23.

$$\frac{23}{4}+6$$

Convert 6 to fraction \frac{24}{4}.

$$\frac{23}{4}+\frac{24}{4}$$

Since \frac{23}{4} and \frac{24}{4} have the same denominator, add them by adding their numerators.

$$\frac{23+24}{4}$$

Add 23 and 24 to get 47.

$$\frac{47}{4}$$

Factor

$$\frac{47}{2 ^ {2}} = 11\frac{3}{4} = 11.75$$