Solve 3/4+5/6-15/12=

$$\frac { 3 } { 4 } + \frac { 5 } { 6 } - \frac { 15 } { 12 } =$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{10}{12}-\frac{15}{12}$$

Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{12}-\frac{15}{12}$$

Add 9 and 10 to get 19.

$$\frac{19}{12}-\frac{15}{12}$$

Since \frac{19}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-15}{12}$$

Subtract 15 from 19 to get 4.

$$\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$