Final answer:
To find the sum of 1/5 and 7/10, convert both fractions to have a denominator of 10. Then, add the numerators to find the sum.
Step-by-step explanation:
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 10. To find the sum of 1/5 and 7/10 in equivalent form with common denominators, we need to convert both fractions so that they have a denominator of 10.
1/5 can be converted to 2/10 by multiplying both the numerator and denominator by 2. 7/10 remains the same.
Now that both fractions have the same denominator, we can add the numerators: 2 + 7 = 9. The sum is 9/10.