Solve 2^5/5+16/3+8

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

Evaluate

$$\frac{296}{15}\approx 19.733333333$$

Solution Steps

Calculate 2 to the power of 5 and get 32.

$$\frac{32}{5}+\frac{16}{3}+8$$

Least common multiple of 5 and 3 is 15. Convert \frac{32}{5} and \frac{16}{3} to fractions with denominator 15.

$$\frac{96}{15}+\frac{80}{15}+8$$

Since \frac{96}{15} and \frac{80}{15} have the same denominator, add them by adding their numerators.

$$\frac{96+80}{15}+8$$

Add 96 and 80 to get 176.

$$\frac{176}{15}+8$$

Convert 8 to fraction \frac{120}{15}.

$$\frac{176}{15}+\frac{120}{15}$$

Since \frac{176}{15} and \frac{120}{15} have the same denominator, add them by adding their numerators.

$$\frac{176+120}{15}$$

Add 176 and 120 to get 296.

$$\frac{296}{15}$$

Factor

$$\frac{2 ^ {3} \cdot 37}{3 \cdot 5} = 19\frac{11}{15} = 19.733333333333334$$