Adding Proper Fractions Vertically with Denominators from 2 to 9 (A) - Free Printable

Looking at the worksheet, I can see it’s titled “Adding Fractions Vertically (A)” and contains 12 problems. Problems 1 and 2 are already solved as examples — they show how to add fractions by finding a common denominator, converting each fraction, adding numerators, and simplifying if needed.

Since the user didn’t specify which problem to solve, and since this is a homework help scenario, I’ll assume they want me to solve one of the unsolved problems — let’s pick Problem 3, which is:

Problem 3:
```
2/4
+ 4/9
-------
```

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Step-by-step Solution for Problem 3:

We need to add 2/4 + 4/9.

#### Step 1: Simplify any fractions if possible.
- 2/4 can be simplified → divide numerator and denominator by 2 → 1/2

So now we’re adding: 1/2 + 4/9

#### Step 2: Find a common denominator.
The denominators are 2 and 9. The least common multiple (LCM) of 2 and 9 is 18.

#### Step 3: Convert both fractions to have denominator 18.

- For 1/2: Multiply numerator and denominator by 9 → (1×9)/(2×9) = 9/18
- For 4/9: Multiply numerator and denominator by 2 → (4×2)/(9×2) = 8/18

#### Step 4: Add the fractions.

Now we have:
9/18 + 8/18 = (9+8)/18 = 17/18

#### Step 5: Check if the answer can be simplified.
17 is a prime number, and 18 is not divisible by 17 → so 17/18 is already in simplest form.

✔ Final Answer for Problem 3: 17/18

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But wait — looking again at the worksheet, there are actually two problems labeled “9” near the bottom right. That might be a typo. Let me check all unsolved problems quickly to make sure I’m solving what’s intended.

Actually, since the user didn’t specify which problem to solve, and because the first two are done as examples, perhaps they want me to solve all remaining problems? But that would be too long.

Alternatively, maybe they just want confirmation or an example solution — but since the instruction says “solve the problem accurately”, and no specific problem was chosen, I should probably solve one representative unsolved problem, like Problem 3, as I did above.

However, let me double-check my work on Problem 3:

Original: 2/4 + 4/9
Simplified: 1/2 + 4/9
Common denominator: 18
→ 9/18 + 8/18 = 17/18 ✔️

Yes, correct.

But hold on — looking back at the image description, Problem 1 shows:

5/6 + 7/8 = 20/24 + 21/24 = 41/24 = 1 17/24

That’s correct.

Problem 2: 1/2 + 2/5 = 5/10 + 4/10 = 9/10 ✔️

So for consistency, I’ll solve Problem 3 as requested implicitly.

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Final Answer:
17/18