Add the following fractions: 2 1/5 + 1/3

Answer 1

To add these fractions, we need to find a common denominator. The least common multiple of 5 and 3 is 15.

So, we'll rewrite 2 1/5 as an improper fraction:

2 1/5 = (2 * 5 + 1) / 5 = 11/5

Now, we can add the fractions:

11/5 + 1/3

To add these fractions, we need to have the same denominator. Let's convert 1/3 to fifteenths:

1/3 = (1 * 5) / (3 * 5) = 5/15

Now, we can add the fractions:

11/5 + 5/15

To add these fractions, we need to have the same denominator:

11/5 = (11 * 3) / (5 * 3) = 33/15

Now, we can add the fractions:

33/15 + 5/15 = (33 + 5) / 15 = 38/15

Therefore, 2 1/5 + 1/3 = 38/15.