Solve 1/12+3/5-9/6=

$$\frac { 1 } { 12 } + \frac { 3 } { 5 } - \frac { 9 } { 6 } =$$

Evaluate

$$-\frac{49}{60}\approx -0.816666667$$

Solution Steps

Least common multiple of 12 and 5 is 60. Convert \frac{1}{12} and \frac{3}{5} to fractions with denominator 60.

$$\frac{5}{60}+\frac{36}{60}-\frac{9}{6}$$

Since \frac{5}{60} and \frac{36}{60} have the same denominator, add them by adding their numerators.

$$\frac{5+36}{60}-\frac{9}{6}$$

Add 5 and 36 to get 41.

$$\frac{41}{60}-\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{41}{60}-\frac{3}{2}$$

Least common multiple of 60 and 2 is 60. Convert \frac{41}{60} and \frac{3}{2} to fractions with denominator 60.

$$\frac{41}{60}-\frac{90}{60}$$

Since \frac{41}{60} and \frac{90}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{41-90}{60}$$

Subtract 90 from 41 to get -49.

$$-\frac{49}{60}$$

Factor

$$-\frac{49}{60} = -0.8166666666666667$$