When adding fractions, it's best to have common denominators. To find a common denominator, you can just multiply the denominators. The two denominators are 2 and 5.
Multiply:
[tex] 2 \times 5 = 10 [/tex]
Change both fractions so that 10 is the denominator:
[tex] \frac{1 \times 5}{2 \times 5} = \frac{5}{10} [/tex]
[tex] \frac{4 \times 2}{5 \times 2} = \frac{8}{10} [/tex]
Now add the fractions:
[tex] \frac{5}{10} + \frac{8}{10} = \frac{13}{10} = 1 \frac{3}{10} [/tex]
Your answer is 1 [tex] \frac{3}{10} [/tex]
