Solve 1/2+21/5

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

Evaluate

$$\frac{27}{10}=2.7$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{1}{2}+\frac{10+1}{5}$$

Add 10 and 1 to get 11.

$$\frac{1}{2}+\frac{11}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{11}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{22}{10}$$

Since \frac{5}{10} and \frac{22}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+22}{10}$$

Add 5 and 22 to get 27.

$$\frac{27}{10}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 5} = 2\frac{7}{10} = 2.7$$