This printable worksheet helps students practice adding and subtracting fractions with unlike denominators through a fun color-by-number activity featuring school supplies.

Let’s solve the fraction addition problems shown in the worksheet. We’ll go step by step for each problem, find a common denominator, add the fractions, and simplify if needed.

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Problem 1: 1/3 + 2/5

Step 1: Find the least common denominator (LCD) of 3 and 5 → it’s 15.

Step 2: Convert each fraction to have denominator 15:
- 1/3 = (1×5)/(3×5) = 5/15
- 2/5 = (2×3)/(5×3) = 6/15

Step 3: Add them: 5/15 + 6/15 = 11/15

Answer: 11/15 → matches “Pink” color key.

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Problem 3: 7/12 + 2/9

Step 1: LCD of 12 and 9 → factors: 12=2²×3, 9=3² → LCD = 2²×3² = 4×9 = 36

Step 2: Convert:
- 7/12 = (7×3)/(12×3) = 21/36
- 2/9 = (2×4)/(9×4) = 8/36

Step 3: Add: 21/36 + 8/36 = 29/36

Answer: 29/36 → matches “Orange” color key.

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Problem 5: 1/2 + 3/7

Step 1: LCD of 2 and 7 → since they’re both prime, LCD = 2×7 = 14

Step 2: Convert:
- 1/2 = (1×7)/(2×7) = 7/14
- 3/7 = (3×2)/(7×2) = 6/14

Step 3: Add: 7/14 + 6/14 = 13/14

Wait — looking at the answer key options under Problem 5:
It shows:
- 36/31 Yellow
- 29/36 Orange
- 13/31 Red
- 57/... Brown

But we got 13/14 — that doesn’t match any of those. Let me double-check.

Hold on — maybe I misread the problem? The image says “1/2 + 3/7” — yes.

But 13/14 is not among the choices listed under problem 5. That suggests either:

→ There’s a typo in the worksheet, or
→ I misread the problem number.

Looking again: In the left column, problem 5 is labeled with a black box “5”, and below it are four answer boxes:

Box 1: 36/31 Yellow
Box 2: 29/36 Orange ← this was from problem 3!
Box 3: 13/31 Red
Box 4: 57/... Brown

Wait — perhaps the answer choices are mixed up? Or maybe problem 5 is actually supposed to be something else?

Alternatively — let’s check if 1/2 + 3/7 could equal 13/31? No, because 1/2 ≈ 0.5, 3/7≈0.428, sum≈0.928, while 13/31≈0.419 — too small.

What about 57/62? Not shown fully.

Actually — looking back at the image, under problem 5, the last option says “57/ Br” — probably “57/62 Brown”? But even then, 1/2 + 3/7 = 13/14 ≈ 0.928, and 57/62 ≈ 0.919 — close but not exact.

This suggests there may be an error in the worksheet’s answer key layout.

But wait — let’s look at the *right side* of the image — the colored picture has numbers inside sections. For example, one section has “1+2” which equals 3 — so maybe the problems are meant to be solved and matched to colors based on simplified answers.

Also, note that in the answer key section (top right), it says “I can add fractions” and gives directions to color based on correct answer.

Perhaps the student is supposed to compute each problem and match to the color code provided next to each problem.

For problem 5, the given choices are:

- 36/31 → improper, greater than 1 → unlikely for 1/2 + 3/7
- 29/36 → already used in problem 3
- 13/31 → too small
- 57/? → possibly 57/62? Still not matching.

Wait — what if the problem is NOT 1/2 + 3/7, but something else? Let me re-examine the image description.

The user wrote: “1/2 + 3/7” as problem 5 — but in the actual image, is it possible it's 1/2 + 3/7? Yes, according to your text.

Alternatively — maybe the answer key is misaligned. Perhaps for problem 5, the correct answer is 13/14, and it should be matched to a color not listed here — but in the coloring page, you’d look for where the answer 13/14 appears? But 13/14 isn't a whole number.

Another idea: Maybe the problems are designed so that after adding, you reduce or convert to mixed number, and then use the numerator or denominator? Unlikely.

Wait — let’s calculate numerically:

1/2 = 0.5
3/7 ≈ 0.4286
Sum ≈ 0.9286

Now check the options:

- 36/31 ≈ 1.16 → no
- 29/36 ≈ 0.805 → no
- 13/31 ≈ 0.419 → no
- 57/62 ≈ 0.919 → very close to 0.9286 — difference due to rounding?

57/62 = ? Let’s compute exactly: 57 ÷ 62 = 0.91935…
Our sum: 1/2 + 3/7 = 7/14 + 6/14 = 13/14 ≈ 0.92857…

Not equal. So not 57/62.

Unless... did I misread the problem? Is it 1/2 + 3/7 or 1/2 + 3/8? 3/8=0.375, sum=0.875=7/8 — still not matching.

Or 1/2 + 3/7 = 13/14 — and perhaps in the color key, 13/14 corresponds to a color not listed in the box? But the box only lists those four.

This is confusing. Let’s move to problem 6 to see if pattern helps.

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Problem 6: Not fully visible — cuts off. You wrote “6” but no expression. Skip for now.

Back to problem 5 — perhaps there’s a mistake in the worksheet. But since this is a "color by number" activity, and the answer key on the right shows a completed picture with numbers like 1,2,3,4,5,6,7,8 — maybe the final answer is reduced to a single digit? Like sum of numerator and denominator? Or just the numerator?

For problem 1: 11/15 → 11+15=26 → not helpful. Numerator 11 — not in 1-8.

Wait — in the colored picture, some sections have numbers like “1+2” which is 3 — so maybe the problems result in integers? But fractions don’t usually.

Unless... oh! Look at the top of the right sheet: “Name: Answer Key I can add Fractions” and then “Directions: Color the picture with the color that matches the correct answer of every problem number.”

And in the picture, there’s a section labeled “1+2” — which is 3 — so perhaps the problems are simple additions that result in whole numbers? But 1/3 + 2/5 is not a whole number.

Unless the “1+2” is not part of the fraction problem — it’s just an example in the picture.

I think the best approach is to trust our calculation for problem 5: 1/2 + 3/7 = 13/14.

Since 13/14 is not among the listed choices, and the worksheet might have an error, but for educational purposes, we'll report the mathematically correct answer.

Similarly, let’s do problem 2 if visible — but you didn’t provide it. You only gave problems 1,3,5.

In your initial message, you said: “Solve the problem accurately.” and showed the image with several problems.

From the left sheet, visible problems are:

1. 1/3 + 2/5 = 11/15
3. 7/12 + 2/9 = 29/36
5. 1/2 + 3/7 = 13/14

And for problem 5, the answer choices include “13/31 Red” — which is close in numerator but wrong denominator. Probably a typo, and it should be 13/14.

Perhaps “13/31” is a misprint for “13/14”.

Given that, and since 13/14 is the correct mathematical answer, we’ll go with that.

To confirm, let’s recalculate all:

Problem 1: 1/3 + 2/5
LCM of 3,5 is 15.
1/3 = 5/15, 2/5 = 6/15, sum=11/15 ✓

Problem 3: 7/12 + 2/9
LCM of 12,9: 12=2^2*3, 9=3^2, LCM=2^2*3^2=36
7/12 = 21/36, 2/9=8/36, sum=29/36 ✓

Problem 5: 1/2 + 3/7
LCM of 2,7 is 14.
1/2=7/14, 3/7=6/14, sum=13/14 ✓

So the answers are:

1. 11/15
3. 29/36
5. 13/14

Even though 13/14 isn't listed correctly in the choices, mathematically it's correct.

Final Answer:
For problem 1: 11/15
For problem 3: 29/36
For problem 5: 13/14