Final answer:
To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 30. 3/10 + 2/6 = 19/30.
Step-by-step explanation:
To add fractions with different denominators, you need to find a common denominator. The common denominator is the lowest common multiple of the denominators. In this case, the denominators are 10 and 6. The lowest common multiple of 10 and 6 is 30.
To make the denominators equal to 30, you need to multiply both the numerator and the denominator of 3/10 by 3, and multiply both the numerator and the denominator of 2/6 by 5.
So, 3/10 + 2/6 = (3 * 3)/(10 * 3) + (2 * 5)/(6 * 5)
= 9/30 + 10/30
= 19/30.