Solve 3/8+2/5/2

$$\frac { \frac { 3 } { 8 } + \frac { 2 } { 5 } } { 2 }$$

Evaluate

$$\frac{31}{80}=0.3875$$

Solution Steps

Least common multiple of 8 and 5 is 40. Convert \frac{3}{8} and \frac{2}{5} to fractions with denominator 40.

$$\frac{\frac{15}{40}+\frac{16}{40}}{2}$$

Since \frac{15}{40} and \frac{16}{40} have the same denominator, add them by adding their numerators.

$$\frac{\frac{15+16}{40}}{2}$$

Add 15 and 16 to get 31.

$$\frac{\frac{31}{40}}{2}$$

Express \frac{\frac{31}{40}}{2} as a single fraction.

$$\frac{31}{40\times 2}$$

Multiply 40 and 2 to get 80.

$$\frac{31}{80}$$

Factor

$$\frac{31}{2 ^ {4} \cdot 5} = 0.3875$$