Solve 3/8+7/10+5/12

$$\frac { 3 } { 8 } + \frac { 7 } { 10 } + \frac { 5 } { 12 }$$

Evaluate

$$\frac{179}{120}\approx 1.491666667$$

Solution Steps

Least common multiple of 8 and 10 is 40. Convert \frac{3}{8} and \frac{7}{10} to fractions with denominator 40.

$$\frac{15}{40}+\frac{28}{40}+\frac{5}{12}$$

Since \frac{15}{40} and \frac{28}{40} have the same denominator, add them by adding their numerators.

$$\frac{15+28}{40}+\frac{5}{12}$$

Add 15 and 28 to get 43.

$$\frac{43}{40}+\frac{5}{12}$$

Least common multiple of 40 and 12 is 120. Convert \frac{43}{40} and \frac{5}{12} to fractions with denominator 120.

$$\frac{129}{120}+\frac{50}{120}$$

Since \frac{129}{120} and \frac{50}{120} have the same denominator, add them by adding their numerators.

$$\frac{129+50}{120}$$

Add 129 and 50 to get 179.

$$\frac{179}{120}$$

Factor

$$\frac{179}{2 ^ {3} \cdot 3 \cdot 5} = 1\frac{59}{120} = 1.4916666666666667$$