Solve 1/8+2/5+3/4=

$$\frac { 1 } { 8 } + \frac { 2 } { 5 } + \frac { 3 } { 4 } =$$

Evaluate

$$\frac{51}{40}=1.275$$

Solution Steps

Least common multiple of 8 and 5 is 40. Convert \frac{1}{8} and \frac{2}{5} to fractions with denominator 40.

$$\frac{5}{40}+\frac{16}{40}+\frac{3}{4}$$

Since \frac{5}{40} and \frac{16}{40} have the same denominator, add them by adding their numerators.

$$\frac{5+16}{40}+\frac{3}{4}$$

Add 5 and 16 to get 21.

$$\frac{21}{40}+\frac{3}{4}$$

Least common multiple of 40 and 4 is 40. Convert \frac{21}{40} and \frac{3}{4} to fractions with denominator 40.

$$\frac{21}{40}+\frac{30}{40}$$

Since \frac{21}{40} and \frac{30}{40} have the same denominator, add them by adding their numerators.

$$\frac{21+30}{40}$$

Add 21 and 30 to get 51.

$$\frac{51}{40}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {3} \cdot 5} = 1\frac{11}{40} = 1.275$$