Solve 3/8+5/6/2

$$\frac { \frac { 3 } { 8 } + \frac { 5 } { 6 } } { 2 }$$

Evaluate

$$\frac{29}{48}\approx 0.604166667$$

Solution Steps

Least common multiple of 8 and 6 is 24. Convert \frac{3}{8} and \frac{5}{6} to fractions with denominator 24.

$$\frac{\frac{9}{24}+\frac{20}{24}}{2}$$

Since \frac{9}{24} and \frac{20}{24} have the same denominator, add them by adding their numerators.

$$\frac{\frac{9+20}{24}}{2}$$

Add 9 and 20 to get 29.

$$\frac{\frac{29}{24}}{2}$$

Express \frac{\frac{29}{24}}{2} as a single fraction.

$$\frac{29}{24\times 2}$$

Multiply 24 and 2 to get 48.

$$\frac{29}{48}$$

Factor

$$\frac{29}{2 ^ {4} \cdot 3} = 0.6041666666666666$$