Solve 1/2+2=2/5

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

Verify

Solution Steps

Convert 2 to fraction \frac{4}{2}.

$$\frac{1}{2}+\frac{4}{2}=\frac{2}{5}$$

Since \frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+4}{2}=\frac{2}{5}$$

Add 1 and 4 to get 5.

$$\frac{5}{2}=\frac{2}{5}$$

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

$$\frac{25}{10}=\frac{4}{10}$$

Compare \frac{25}{10} and \frac{4}{10}.

$$\text{false}$$