Solve (1/4+1/2+1/3)+1/6

$$( \frac { 1 } { 4 } + \frac { 1 } { 2 } + \frac { 1 } { 3 } ) + \frac { 1 } { 6 }$$

Evaluate

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

Solution Steps

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

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

Since \frac{1}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

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

Add 1 and 2 to get 3.

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

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

$$\frac{9}{12}+\frac{4}{12}+\frac{1}{6}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{12}+\frac{1}{6}$$

Add 9 and 4 to get 13.

$$\frac{13}{12}+\frac{1}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{13}{12} and \frac{1}{6} to fractions with denominator 12.

$$\frac{13}{12}+\frac{2}{12}$$

Since \frac{13}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{13+2}{12}$$

Add 13 and 2 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

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