Solve 1/6+1/8+3/10+2/5

$$\frac { 1 } { 6 } + \frac { 1 } { 8 } + \frac { 3 } { 10 } + \frac { 2 } { 5 }$$

Evaluate

$$\frac{119}{120}\approx 0.991666667$$

Solution Steps

Least common multiple of 6 and 8 is 24. Convert \frac{1}{6} and \frac{1}{8} to fractions with denominator 24.

$$\frac{4}{24}+\frac{3}{24}+\frac{3}{10}+\frac{2}{5}$$

Since \frac{4}{24} and \frac{3}{24} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{24}+\frac{3}{10}+\frac{2}{5}$$

Add 4 and 3 to get 7.

$$\frac{7}{24}+\frac{3}{10}+\frac{2}{5}$$

Least common multiple of 24 and 10 is 120. Convert \frac{7}{24} and \frac{3}{10} to fractions with denominator 120.

$$\frac{35}{120}+\frac{36}{120}+\frac{2}{5}$$

Since \frac{35}{120} and \frac{36}{120} have the same denominator, add them by adding their numerators.

$$\frac{35+36}{120}+\frac{2}{5}$$

Add 35 and 36 to get 71.

$$\frac{71}{120}+\frac{2}{5}$$

Least common multiple of 120 and 5 is 120. Convert \frac{71}{120} and \frac{2}{5} to fractions with denominator 120.

$$\frac{71}{120}+\frac{48}{120}$$

Since \frac{71}{120} and \frac{48}{120} have the same denominator, add them by adding their numerators.

$$\frac{71+48}{120}$$

Add 71 and 48 to get 119.

$$\frac{119}{120}$$

Factor

$$\frac{7 \cdot 17}{2 ^ {3} \cdot 3 \cdot 5} = 0.9916666666666667$$