To find your answer you need the same denominators. Find the least common denominator for 2 and 5. The least common denominator is 10. For 1/2 you need to multiply 2x5 to get 10. Whatever you do to the denominator you have to do the same to the numerator. For 1/2 you have to multiply 1x5 which is 5, so your numerator is 5 and you have to multiply 2x5 which is 10, so your denominator is 10.Your fraction is 5/10. For 1/5 multiply 1x2 so your numerator is 2. Then, multiply 5x2 which is 10. Your fraction is 2/10. Add 5/10+2/10=7/10.
Hope that helped:D