Solve 1/2+23/8

$$\frac { 1 } { 2 } + 2 \frac { 3 } { 8 }$$

Evaluate

$$\frac{23}{8}=2.875$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{1}{2}+\frac{16+3}{8}$$

Add 16 and 3 to get 19.

$$\frac{1}{2}+\frac{19}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{19}{8} to fractions with denominator 8.

$$\frac{4}{8}+\frac{19}{8}$$

Since \frac{4}{8} and \frac{19}{8} have the same denominator, add them by adding their numerators.

$$\frac{4+19}{8}$$

Add 4 and 19 to get 23.

$$\frac{23}{8}$$

Factor

$$\frac{23}{2 ^ {3}} = 2\frac{7}{8} = 2.875$$