Solve 5/12+1/3+1/5+1/8

$$\frac{ 5 }{ 12 } + \frac{ 1 }{ 3 } + \frac{ 1 }{ 5 } + \frac{ 1 }{ 8 }$$

Evaluate

$$\frac{43}{40}=1.075$$

Solution Steps

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

$$\frac{5}{12}+\frac{4}{12}+\frac{1}{5}+\frac{1}{8}$$

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

$$\frac{5+4}{12}+\frac{1}{5}+\frac{1}{8}$$

Add 5 and 4 to get 9.

$$\frac{9}{12}+\frac{1}{5}+\frac{1}{8}$$

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

$$\frac{3}{4}+\frac{1}{5}+\frac{1}{8}$$

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

$$\frac{15}{20}+\frac{4}{20}+\frac{1}{8}$$

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

$$\frac{15+4}{20}+\frac{1}{8}$$

Add 15 and 4 to get 19.

$$\frac{19}{20}+\frac{1}{8}$$

Least common multiple of 20 and 8 is 40. Convert \frac{19}{20} and \frac{1}{8} to fractions with denominator 40.

$$\frac{38}{40}+\frac{5}{40}$$

Since \frac{38}{40} and \frac{5}{40} have the same denominator, add them by adding their numerators.

$$\frac{38+5}{40}$$

Add 38 and 5 to get 43.

$$\frac{43}{40}$$

Factor

$$\frac{43}{2 ^ {3} \cdot 5} = 1\frac{3}{40} = 1.075$$