Solve 1/3+3/4+5/10

$$\frac { 1 } { 3 } + \frac { 3 } { 4 } + \frac { 5 } { 10 }$$

Evaluate

$$\frac{19}{12}\approx 1.583333333$$

Solution Steps

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

$$\frac{4}{12}+\frac{9}{12}+\frac{5}{10}$$

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

$$\frac{4+9}{12}+\frac{5}{10}$$

Add 4 and 9 to get 13.

$$\frac{13}{12}+\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{13}{12}+\frac{1}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{13}{12} and \frac{1}{2} to fractions with denominator 12.

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

Since \frac{13}{12} and \frac{6}{12} have the same denominator, add them by adding their numerators.

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

Add 13 and 6 to get 19.

$$\frac{19}{12}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3} = 1\frac{7}{12} = 1.5833333333333333$$