Solve 15/8+23/16

$$\frac{ 15 }{ 8 } +2 \frac{ 3 }{ 16 }$$

Evaluate

$$\frac{65}{16}=4.0625$$

Solution Steps

Multiply 2 and 16 to get 32.

$$\frac{15}{8}+\frac{32+3}{16}$$

Add 32 and 3 to get 35.

$$\frac{15}{8}+\frac{35}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{15}{8} and \frac{35}{16} to fractions with denominator 16.

$$\frac{30}{16}+\frac{35}{16}$$

Since \frac{30}{16} and \frac{35}{16} have the same denominator, add them by adding their numerators.

$$\frac{30+35}{16}$$

Add 30 and 35 to get 65.

$$\frac{65}{16}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {4}} = 4\frac{1}{16} = 4.0625$$