Solve 5/12+1/3+1/5+6/12

$$\frac{ 5 }{ 12 } + \frac{ 1 }{ 3 } + \frac{ 1 }{ 5 } + \frac{ 6 }{ 12 }$$

Evaluate

$$\frac{29}{20}=1.45$$

Solution Steps

Least common multiple of 12 and 3 is 12. Convert \frac{5}{12} and \frac{1}{3} to fractions with denominator 12.

$$\frac{5}{12}+\frac{4}{12}+\frac{1}{5}+\frac{6}{12}$$

Since \frac{5}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{12}+\frac{1}{5}+\frac{6}{12}$$

Add 5 and 4 to get 9.

$$\frac{9}{12}+\frac{1}{5}+\frac{6}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}+\frac{1}{5}+\frac{6}{12}$$

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{1}{5} to fractions with denominator 20.

$$\frac{15}{20}+\frac{4}{20}+\frac{6}{12}$$

Since \frac{15}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{20}+\frac{6}{12}$$

Add 15 and 4 to get 19.

$$\frac{19}{20}+\frac{6}{12}$$

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

$$\frac{19}{20}+\frac{1}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{19}{20} and \frac{1}{2} to fractions with denominator 20.

$$\frac{19}{20}+\frac{10}{20}$$

Since \frac{19}{20} and \frac{10}{20} have the same denominator, add them by adding their numerators.

$$\frac{19+10}{20}$$

Add 19 and 10 to get 29.

$$\frac{29}{20}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 5} = 1\frac{9}{20} = 1.45$$