Solve 5/16+3/8+2

$$\frac{ 5 }{ 16 } + \frac{ 3 }{ 8 } +2$$

Evaluate

$$\frac{43}{16}=2.6875$$

Solution Steps

Least common multiple of 16 and 8 is 16. Convert \frac{5}{16} and \frac{3}{8} to fractions with denominator 16.

$$\frac{5}{16}+\frac{6}{16}+2$$

Since \frac{5}{16} and \frac{6}{16} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{16}+2$$

Add 5 and 6 to get 11.

$$\frac{11}{16}+2$$

Convert 2 to fraction \frac{32}{16}.

$$\frac{11}{16}+\frac{32}{16}$$

Since \frac{11}{16} and \frac{32}{16} have the same denominator, add them by adding their numerators.

$$\frac{11+32}{16}$$

Add 11 and 32 to get 43.

$$\frac{43}{16}$$

Factor

$$\frac{43}{2 ^ {4}} = 2\frac{11}{16} = 2.6875$$