Addition of Fractions worksheet with problems involving like denominators.

Let’s solve each fraction addition problem step by step.

All problems have fractions with the same denominator, so we just add the numerators and keep the denominator the same. Then simplify if needed.

---

Problem 1:
3/5 + 2/5 + 1/5
→ (3 + 2 + 1)/5 = 6/5 → This is an improper fraction. We can write it as a mixed number:
6 ÷ 5 = 1 with remainder 1 → 1 1/5

But since the worksheet doesn’t specify, and all other answers may be left as improper or simplified, let’s check if 6/5 simplifies — it doesn’t reduce further. But often in elementary math, they prefer mixed numbers for improper fractions. However, looking at the rest of the problems, some will also give improper fractions. Let’s see what the pattern is.

Actually, let’s do them all first and then decide format. The instructions don’t say to convert to mixed numbers, so maybe leave as improper unless it reduces to whole number.

Wait — let’s look ahead:

Problem 3: 1/2 + 2/2 + 1/2 = (1+2+1)/2 = 4/2 = 2 → that’s a whole number.

So perhaps we should simplify fully.

Let me redo each one carefully.

---

Left Column:

1. 3/5 + 2/5 + 1/5 = (3+2+1)/5 = 6/5 → 6/5 or 1 1/5?
Since 6/5 > 1, but no instruction, I’ll keep as improper unless it reduces to whole number. But let’s check teacher expectation — usually in such worksheets, if it’s improper, they might want mixed number. Hmm.

Looking at Problem 7: 3/7 + 1/7 + 2/7 = 6/7 → proper fraction.

Problem 9: 5/9 + 1/9 + 3/9 = 9/9 = 1

Problem 10: 2/5 + 1/5 + 4/5 = 7/5 → again improper.

I think safest is to write as improper fraction unless it equals a whole number. But let’s see common practice.

Actually, in many school worksheets like this, they accept either, but often expect simplified form — which includes converting improper to mixed if not specified otherwise.

But to be consistent, let’s follow this rule:

- If numerator ≥ denominator, convert to mixed number.
- Else, leave as proper fraction.
- If it reduces to whole number, write whole number.

Let’s apply that.

---

Problem 1: 3/5 + 2/5 + 1/5 = 6/5 → 1 1/5

Problem 2: 1/4 + 3/4 + 1/4 = (1+3+1)/4 = 5/4 → 1 1/4

Problem 3: 1/5 + 2/5 + 1/5 = (1+2+1)/5 = 4/5 → stays 4/5

Problem 4: 1/4 + 2/4 + 2/4 = (1+2+2)/4 = 5/4 → 1 1/4

Problem 5: 1/2 + 2/2 + 1/2 = (1+2+1)/2 = 4/2 = 2 → whole number

Problem 6: 1/6 + 3/6 + 3/6 = (1+3+3)/6 = 7/6 → 1 1/6

Problem 7: 5/9 + 1/9 + 3/9 = (5+1+3)/9 = 9/9 = 1

Problem 8: 2/5 + 1/5 + 4/5 = (2+1+4)/5 = 7/5 → 1 2/5

Problem 9: 3/7 + 1/7 + 2/7 = (3+1+2)/7 = 6/7 → stays 6/7

Problem 10: 2/4 + 1/4 + 1/4 = (2+1+1)/4 = 4/4 = 1

Wait — let me double-check each calculation.

---

Rechecking:

1. 3+2+1=6 → 6/5 → 1 1/5 ✔
2. 1+3+1=5 → 5/4 → 1 1/4 ✔
3. 1+2+1=4 → 4/5 ✔
4. 1+2+2=5 → 5/4 → 1 1/4 ✔
5. 1+2+1=4 → 4/2=2 ✔
6. 1+3+3=7 → 7/6 → 1 1/6 ✔
7. 5+1+3=9 → 9/9=1 ✔
8. 2+1+4=7 → 7/5 → 1 2/5 ✔
9. 3+1+2=6 → 6/7 ✔
10. 2+1+1=4 → 4/4=1 ✔

All correct.

Now, should we write mixed numbers or improper? Since the worksheet says “Addition of Fractions” and doesn’t specify, but in grade school, when you get improper fractions, you usually convert to mixed numbers.

Also, note that in problem 5, 7, 10 we got whole numbers — those are fine.

So final answers in mixed number form where applicable.

But wait — problem 3 and 9 are proper fractions — leave as is.

So here’s the list:

1. 1 1/5
2. 1 1/4
3. 4/5
4. 1 1/4
5. 2
6. 1 1/6
7. 1
8. 1 2/5
9. 6/7
10. 1

But let’s write them in order as per the grid.

The worksheet has two columns:

Left column (top to bottom):

Row 1: 3/5 + 2/5 + 1/5 → 6/5 = 1 1/5
Row 2: 1/5 + 2/5 + 1/5 → 4/5
Row 3: 1/2 + 2/2 + 1/2 → 4/2 = 2
Row 4: 5/9 + 1/9 + 3/9 → 9/9 = 1
Row 5: 3/7 + 1/7 + 2/7 → 6/7

Right column (top to bottom):

Row 1: 1/4 + 3/4 + 1/4 → 5/4 = 1 1/4
Row 2: 1/4 + 2/4 + 2/4 → 5/4 = 1 1/4
Row 3: 1/6 + 3/6 + 3/6 → 7/6 = 1 1/6
Row 4: 2/5 + 1/5 + 4/5 → 7/5 = 1 2/5
Row 5: 2/4 + 1/4 + 1/4 → 4/4 = 1

Perfect.

Now, for Final Answer, since the user didn’t ask for explanation or teaching, just the answer — but the format requires us to provide Final Answer after reasoning.

And since ExplainAnswer, TeachTopic, GeneratePractice are all false, we only output Final Answer.

But how to present? Probably list them in order, matching the grid.

We can write:

Final Answer:
1 1/5, 1 1/4
4/5, 1 1/4
2, 1 1/6
1, 1 2/5
6/7, 1

Or better, label by position? But the instruction says "only the final correct answer".

Perhaps just list all 10 answers in order from top-left to bottom-right, row by row.

That is:

First row: left then right → 1 1/5, 1 1/4
Second row: 4/5, 1 1/4
Third row: 2, 1 1/6
Fourth row: 1, 1 2/5
Fifth row: 6/7, 1

So sequence:
1. 1 1/5
2. 1 1/4
3. 4/5
4. 1 1/4
5. 2
6. 1 1/6
7. 1
8. 1 2/5
9. 6/7
10. 1

Yes.

To make it clear, perhaps write as:

1 1/5, 1 1/4, 4/5, 1 1/4, 2, 1 1/6, 1, 1 2/5, 6/7, 1

But let's confirm once more calculations — especially problem 8: 2/5 + 1/5 + 4/5 = 7/5 = 1 2/5 ✔

Problem 10: 2/4 + 1/4 + 1/4 = 4/4 = 1 ✔

All good.

Final Answer:
1 1/5, 1 1/4, 4/5, 1 1/4, 2, 1 1/6, 1, 1 2/5, 6/7, 1