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

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

Evaluate

$$\frac{39}{20}=1.95$$

Solution Steps

Divide 1 by 1 to get 1.

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

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

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

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

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

Add 5 and 4 to get 9.

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

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

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

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

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

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

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

Add 15 and 4 to get 19.

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

Convert 1 to fraction \frac{20}{20}.

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

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

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

Add 19 and 20 to get 39.

$$\frac{39}{20}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {2} \cdot 5} = 1\frac{19}{20} = 1.95$$