Answer :

naǫ
[tex]\frac{1}{7}+\frac{1}{2}=\frac{1 \times 2}{7 \times 2}+\frac{1 \times 7}{2 \times 7}=\frac{2}{14}+\frac{7}{14}=\frac{2+7}{14}=\boxed{\frac{9}{14}}[/tex]
apologiabiology
first make the denomenators (bottom numbers) the same

find the smallest number that 7 and 2 can both go into
the number is 14

multiply both by 1 or x/x where x is the same

1/7 times 1 or
 1/7 times 2/2=2/14

1/2 times 1 or
1/2 times 7/7=7/14

sum of numbers
2/14+7/14
add numberators (top numbers)
2+7=9
answer=9/14