Solve 5/6+3/4-1/3

$$\frac { 5 } { 6 } + \frac { 3 } { 4 } - \frac { 1 } { 3 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

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

$$\frac{10}{12}+\frac{9}{12}-\frac{1}{3}$$

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

$$\frac{10+9}{12}-\frac{1}{3}$$

Add 10 and 9 to get 19.

$$\frac{19}{12}-\frac{1}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{19}{12} and \frac{1}{3} to fractions with denominator 12.

$$\frac{19}{12}-\frac{4}{12}$$

Since \frac{19}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-4}{12}$$

Subtract 4 from 19 to get 15.

$$\frac{15}{12}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$