Solve 3/8+1/10+1/10+1/30

$$\frac { 3 } { 8 } + \frac { 1 } { 10 } + \frac { 1 } { 10 } + \frac { 1 } { 30 }$$

Evaluate

$$\frac{73}{120}\approx 0.608333333$$

Solution Steps

Least common multiple of 8 and 10 is 40. Convert \frac{3}{8} and \frac{1}{10} to fractions with denominator 40.

$$\frac{15}{40}+\frac{4}{40}+\frac{1}{10}+\frac{1}{30}$$

Since \frac{15}{40} and \frac{4}{40} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{40}+\frac{1}{10}+\frac{1}{30}$$

Add 15 and 4 to get 19.

$$\frac{19}{40}+\frac{1}{10}+\frac{1}{30}$$

Least common multiple of 40 and 10 is 40. Convert \frac{19}{40} and \frac{1}{10} to fractions with denominator 40.

$$\frac{19}{40}+\frac{4}{40}+\frac{1}{30}$$

Since \frac{19}{40} and \frac{4}{40} have the same denominator, add them by adding their numerators.

$$\frac{19+4}{40}+\frac{1}{30}$$

Add 19 and 4 to get 23.

$$\frac{23}{40}+\frac{1}{30}$$

Least common multiple of 40 and 30 is 120. Convert \frac{23}{40} and \frac{1}{30} to fractions with denominator 120.

$$\frac{69}{120}+\frac{4}{120}$$

Since \frac{69}{120} and \frac{4}{120} have the same denominator, add them by adding their numerators.

$$\frac{69+4}{120}$$

Add 69 and 4 to get 73.

$$\frac{73}{120}$$

Factor

$$\frac{73}{2 ^ {3} \cdot 3 \cdot 5} = 0.6083333333333333$$