Solve 9/16+23/8

$$\frac { 9 } { 16 } + 2 \frac { 3 } { 8 }$$

Evaluate

$$\frac{47}{16}=2.9375$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{9}{16}+\frac{16+3}{8}$$

Add 16 and 3 to get 19.

$$\frac{9}{16}+\frac{19}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{9}{16} and \frac{19}{8} to fractions with denominator 16.

$$\frac{9}{16}+\frac{38}{16}$$

Since \frac{9}{16} and \frac{38}{16} have the same denominator, add them by adding their numerators.

$$\frac{9+38}{16}$$

Add 9 and 38 to get 47.

$$\frac{47}{16}$$

Factor

$$\frac{47}{2 ^ {4}} = 2\frac{15}{16} = 2.9375$$