Solve 9/5+7/8+1/10

$$\frac { 9 } { 5 } + \frac { 7 } { 8 } + \frac { 1 } { 10 }$$

Evaluate

$$\frac{111}{40}=2.775$$

Solution Steps

Least common multiple of 5 and 8 is 40. Convert \frac{9}{5} and \frac{7}{8} to fractions with denominator 40.

$$\frac{72}{40}+\frac{35}{40}+\frac{1}{10}$$

Since \frac{72}{40} and \frac{35}{40} have the same denominator, add them by adding their numerators.

$$\frac{72+35}{40}+\frac{1}{10}$$

Add 72 and 35 to get 107.

$$\frac{107}{40}+\frac{1}{10}$$

Least common multiple of 40 and 10 is 40. Convert \frac{107}{40} and \frac{1}{10} to fractions with denominator 40.

$$\frac{107}{40}+\frac{4}{40}$$

Since \frac{107}{40} and \frac{4}{40} have the same denominator, add them by adding their numerators.

$$\frac{107+4}{40}$$

Add 107 and 4 to get 111.

$$\frac{111}{40}$$

Factor

$$\frac{3 \cdot 37}{2 ^ {3} \cdot 5} = 2\frac{31}{40} = 2.775$$