4. 2 1/6+8 3/6= 10 2/3 5. -2 4/5+(-2/5)= 3 1/5 6. 3 3/8+6 5/8=10

5 is wrong

The other two are right.

5 is -2 -2/5

Right. - 2 2/5

Thank you, Ms. Sue!

To solve these addition problems involving mixed numbers, you would follow these steps:

To add fractions:
1. Convert the mixed numbers into improper fractions.
2. Find a common denominator.
3. Add the numerators of the fractions and keep the denominator the same.
4. Simplify the resulting fraction, if necessary.

To add whole numbers:
Simply add the whole numbers together.

Now, let's apply these steps to the given addition problems:

4. 2 1/6 + 8 3/6 = 10 2/3

To convert 2 1/6 into an improper fraction:
- Multiply the whole number (2) by the denominator (6) and add the numerator (1). This gives you 13/6.

Similarly, convert 8 3/6 into 51/6.

Now, you have:
13/6 + 51/6 = 64/6

Since the denominators are already the same, you just add the numerators:
64/6 = 10 4/6

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (2):
10 4/6 = 10 2/3

So, 2 1/6 + 8 3/6 = 10 2/3.

5. -2 4/5 + (-2/5) = 3 1/5

To convert -2 4/5 into an improper fraction:
- Multiply the whole number (-2) by the denominator (5) and subtract the numerator (4). This gives you -14/5.

Now, you have:
-14/5 + (-2/5)

Since the denominators are already the same, you just add the numerators:
-14/5 + (-2/5) = -16/5

Simplify the fraction, if necessary, but in this case, it is already in its simplest form.

So, -2 4/5 + (-2/5) = -16/5, which can be expressed as 3 1/5.

6. 3 3/8 + 6 5/8 = 10

To convert 3 3/8 into an improper fraction:
- Multiply the whole number (3) by the denominator (8) and add the numerator (3). This gives you 27/8.

Similarly, convert 6 5/8 into 53/8.

Now, you have:
27/8 + 53/8 = 80/8

Simplify the fraction, if necessary, by dividing both the numerator and the denominator by their greatest common divisor (8):
80/8 = 10

So, 3 3/8 + 6 5/8 = 10.