To add 2/5 and 3/6, we need to find a common denominator. The least common multiple of 5 and 6 is 30.
Next, we need to convert the fractions to have a denominator of 30.
For 2/5, we multiply the numerator and denominator by 6 to get: 2/5 = (2 * 6)/(5 * 6) = 12/30
For 3/6, we multiply the numerator and denominator by 5 to get: 3/6 = (3 * 5)/(6 * 5) = 15/30
Now that both fractions have the same denominator of 30, we can add them: 12/30 + 15/30 = (12 + 15)/30 = 27/30
However, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 3: 27/30 = (27 ÷ 3)/(30 ÷ 3) = 9/10
Therefore, 2/5 + 3/6 = 9/10.
