2/5+3/7 in simplest form
Common denominator = 5 • 7 = 35
2 / 5 + 3 / 7 =
2 • 7 / 5 • 7 + 3 • 5 / 7 • 5 =
14 / 35 + 15 / 35 = 29 / 35
To add the fractions 2/5 and 3/7, you need to find a common denominator. The common denominator is found by finding the least common multiple (LCM) of the denominators, which in this case is 35.
Next, you need to rewrite the fractions with the common denominator of 35.
2/5 can be written as (2/5) * (7/7) = 14/35. (because 5 * 7 = 35)
3/7 can be written as (3/7) * (5/5) = 15/35. (because 7 * 5 = 35)
Now that the fractions have the same denominator, you can add them:
14/35 + 15/35 = 29/35.
Therefore, the sum of 2/5 and 3/7 in simplest form is 29/35.