Solve 5/4+7/8+1/10

$$\frac { 5 } { 4 } + \frac { 7 } { 8 } + \frac { 1 } { 10 }$$

Evaluate

$$\frac{89}{40}=2.225$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{5}{4} and \frac{7}{8} to fractions with denominator 8.

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

Since \frac{10}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

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

Add 10 and 7 to get 17.

$$\frac{17}{8}+\frac{1}{10}$$

Least common multiple of 8 and 10 is 40. Convert \frac{17}{8} and \frac{1}{10} to fractions with denominator 40.

$$\frac{85}{40}+\frac{4}{40}$$

Since \frac{85}{40} and \frac{4}{40} have the same denominator, add them by adding their numerators.

$$\frac{85+4}{40}$$

Add 85 and 4 to get 89.

$$\frac{89}{40}$$

Factor

$$\frac{89}{2 ^ {3} \cdot 5} = 2\frac{9}{40} = 2.225$$