Solve 5/6-1/4+2/3

$$\frac{ 5 }{ 6 } - \frac{ 1 }{ 4 } + \frac{ 2 }{ 3 }$$

Evaluate

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

Solution Steps

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{1}{4} to fractions with denominator 12.

$$\frac{10}{12}-\frac{3}{12}+\frac{2}{3}$$

Since \frac{10}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{12}+\frac{2}{3}$$

Subtract 3 from 10 to get 7.

$$\frac{7}{12}+\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{7}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{7}{12}+\frac{8}{12}$$

Since \frac{7}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{7+8}{12}$$

Add 7 and 8 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

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