Solve 2^4/5+3/6

$$2 ^ { 4 } / 5 + 3 / 6$$

Evaluate

$$\frac{37}{10}=3.7$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$\frac{16}{5}+\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{16}{5}+\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{16}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{32}{10}+\frac{5}{10}$$

Since \frac{32}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{32+5}{10}$$

Add 32 and 5 to get 37.

$$\frac{37}{10}$$

Factor

$$\frac{37}{2 \cdot 5} = 3\frac{7}{10} = 3.7$$