Question

Find the sum. Write your answer in simplest form.
3/7 + 2/3

Answer 1

To add these fractions, we need a common denominator. The least common multiple of 7 and 3 is 21, so we can write:

3/7 = 9/21 (by multiplying numerator and denominator by 3)
2/3 = 14/21 (by multiplying numerator and denominator by 7)

Now we have:

9/21 + 14/21 = 23/21

To simplify, we can write this as a mixed number:

23/21 = 1 2/21

So the sum of 3/7 and 2/3 is 1 2/21.