Solve 5/8+7/5+2/4

$$\frac { 5 } { 8 } + \frac { 7 } { 5 } + \frac { 2 } { 4 }$$

Evaluate

$$\frac{101}{40}=2.525$$

Solution Steps

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

$$\frac{25}{40}+\frac{56}{40}+\frac{2}{4}$$

Since \frac{25}{40} and \frac{56}{40} have the same denominator, add them by adding their numerators.

$$\frac{25+56}{40}+\frac{2}{4}$$

Add 25 and 56 to get 81.

$$\frac{81}{40}+\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{81}{40}+\frac{1}{2}$$

Least common multiple of 40 and 2 is 40. Convert \frac{81}{40} and \frac{1}{2} to fractions with denominator 40.

$$\frac{81}{40}+\frac{20}{40}$$

Since \frac{81}{40} and \frac{20}{40} have the same denominator, add them by adding their numerators.

$$\frac{81+20}{40}$$

Add 81 and 20 to get 101.

$$\frac{101}{40}$$

Factor

$$\frac{101}{2 ^ {3} \cdot 5} = 2\frac{21}{40} = 2.525$$