Solve 2/3+1/4-5

$$\frac { 2 } { 3 } + \frac { 1 } { 4 } - 5$$

Evaluate

$$-\frac{49}{12}\approx -4.083333333$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{8}{12}+\frac{3}{12}-5$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{12}-5$$

Add 8 and 3 to get 11.

$$\frac{11}{12}-5$$

Convert 5 to fraction \frac{60}{12}.

$$\frac{11}{12}-\frac{60}{12}$$

Since \frac{11}{12} and \frac{60}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-60}{12}$$

Subtract 60 from 11 to get -49.

$$-\frac{49}{12}$$

Factor

$$-\frac{49}{12} = -4\frac{1}{12} = -4.083333333333333$$