3⅖ + 2⅓

1 answer

To add these mixed numbers, we need to convert them into improper fractions first.

3⅖ can be written as the improper fraction:

3⅖ = (3 * 5 + 2) / 5 = 17/5

2⅓ can be written as the improper fraction:

2⅓ = (2 * 3 + 1) / 3 = 7/3

Now we can add the fractions:

17/5 + 7/3

To add these fractions with different denominators, we need to find a common denominator.

The least common multiple (LCM) of 5 and 3 is 15.

Now let's rewrite the fractions with the common denominator of 15:

17/5 * 3/3 = 51/15

7/3 * 5/5 = 35/15

Now we can add the fractions:

51/15 + 35/15 = 86/15

The sum of 3⅖ and 2⅓ is 86/15.