Adding Proper Fractions worksheet with 12 math problems.

Let’s solve each problem step by step. Since all the fractions have the same denominator (bottom number), we just add the numerators (top numbers) and keep the denominator the same.

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1) 4/6 + 1/6 = (4+1)/6 = 5/6

2) 2/9 + 3/9 = (2+3)/9 = 5/9

3) 4/8 + 7/8 = (4+7)/8 = 11/8 → This is an improper fraction, but since the worksheet says “Adding Proper Fractions,” we’ll leave it as is unless told to simplify or convert. But note: 11/8 is greater than 1 — still correct for addition.

Wait — let’s double-check instructions. The title says “Adding Proper Fractions” — that refers to the *input* fractions being proper (less than 1). The answer can be improper. So 11/8 is fine.

But maybe they want simplified? Let’s check if any answers can be reduced.

Actually, looking at the problems, none of them ask to simplify — so we’ll just add and write the result.

Still, let’s make sure we’re not missing anything. For example:

4) 10/12 + 6/12 = 16/12 → Can be simplified to 4/3, but again, unless asked, we leave as 16/12? Wait — actually, in most school worksheets, they expect you to simplify if possible. Let me think...

Looking at problem 3: 4/8 + 7/8 = 11/8 — 11 and 8 have no common factors, so it’s already simplified.

Problem 4: 10/12 + 6/12 = 16/12 → both divisible by 4 → 4/3. Should we simplify?

Actually, let’s look at the pattern. Problem 10: 1/2 + 1/2 = 2/2 = 1 — which is a whole number. Probably they expect simplification.

I think best practice is to simplify the answer if possible.

So let’s go back and do each one carefully, adding first, then simplifying if needed.

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1) 4/6 + 1/6 = 5/6 → already simplified → 5/6

2) 2/9 + 3/9 = 5/9 → already simplified → 5/9

3) 4/8 + 7/8 = 11/8 → 11 and 8 share no common factors → 11/8

4) 10/12 + 6/12 = 16/12 → divide numerator and denominator by 4 → 4/3 → 4/3

5) 9/10 + 5/10 = 14/10 → divide by 2 → 7/5 → 7/5

6) 1/4 + 2/4 = 3/4 → already simplified → 3/4

7) 2/5 + 4/5 = 6/5 → already simplified → 6/5

8) 6/7 + 3/7 = 9/7 → already simplified → 9/7

9) 8/11 + 9/11 = 17/11 → already simplified → 17/11

10) 1/2 + 1/2 = 2/2 = 1 → 1

11) 3/7 + 5/7 = 8/7 → already simplified → 8/7

12) 9/10 + 8/10 = 17/10 → already simplified → 17/10

Wait — let me verify each calculation once more to be 100% sure.

1) 4+1=5 → 5/6 ✔️
2) 2+3=5 → 5/9 ✔️
3) 4+7=11 → 11/8 ✔️
4) 10+6=16 → 16/12 = 4/3 ✔️
5) 9+5=14 → 14/10 = 7/5 ✔️
6) 1+2=3 → 3/4 ✔️
7) 2+4=6 → 6/5 ✔️
8) 6+3=9 → 9/7 ✔️
9) 8+9=17 → 17/11 ✔️
10) 1+1=2 → 2/2 = 1 ✔️
11) 3+5=8 → 8/7 ✔️
12) 9+8=17 → 17/10 ✔️

All correct.

Final Answer:
1) 5/6
2) 5/9
3) 11/8
4) 4/3
5) 7/5
6) 3/4
7) 6/5
8) 9/7
9) 17/11
10) 1
11) 8/7
12) 17/10