In 1 through 6, find each sum. Simplify, if possible. Estimate for reasonableness.

Question

1. 7
__2
3
+ 8
__5
6
2. 4
__3
4
+ 2
__2
5
3. 11
___9
10
+ 3
___1
20
4. 7
__6
7
+ 5
__2
7
5. 5
__8
9
+ 3
__1
2
6. 21
___ 11
12
+ 17
__2
3
7. Number Sense Write two mixed numbers that have a sum of 3.

Answer 1

Fractions don't format well here. Try using a/b for fractions.

I'll do #1 and yo can post your own answers for the others, which we will be happy to check.

#1.

7 2/3 + 8 5/6
One way is to add the whole numbers, then add the fractions:

7+8 + 2/3 + 5/6
15 + 2/3 + 5/6
Now, set the fractions over a common denominator:

15 + 4/6 + 5/6
15 + 9/6
Now reduce the improper fraction to a mixed number:
15 + 6/6 + 3/6
15 + 1 + 3/6
16 1/2

Another way is to make everything into fractions first:

7 2/3 + 8 5/6
21/3 + 2/3 + 48/6 + 5/6
42/6 + 4/6 + 48/6 + 5/6
99/6
96/6 + 3/6
16 1/2