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

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

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

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

$$\frac{3}{12}+\frac{8}{12}+\frac{5}{6}$$

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

$$\frac{3+8}{12}+\frac{5}{6}$$

Add 3 and 8 to get 11.

$$\frac{11}{12}+\frac{5}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{11}{12} and \frac{5}{6} to fractions with denominator 12.

$$\frac{11}{12}+\frac{10}{12}$$

Since \frac{11}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{11+10}{12}$$

Add 11 and 10 to get 21.

$$\frac{21}{12}$$

Reduce the fraction \frac{21}{12} to lowest terms by extracting and canceling out 3.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$