6 1/2 + 2 2/5

1 answer

To add 6 1/2 and 2 2/5, you need to first convert both mixed numbers into improper fractions.

6 1/2 = (6 * 2 + 1)/2 = 13/2
2 2/5 = (2 * 5 + 2)/5 = 12/5

Now you can add the fractions:
13/2 + 12/5

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

In this case, the common denominator for 2 and 5 is 10.

Rewriting the fractions with the common denominator:
13/2 = (13 * 5)/(2 * 5) = 65/10
12/5 = (12 * 2)/(5 * 2) = 24/10

Now you can add the fractions:
65/10 + 24/10 = (65 + 24)/10 = 89/10

Therefore, 6 1/2 + 2 2/5 = 89/10 or it can also be written as 8 9/10.