Fractions online worksheet for Grade 4 - Free Printable

Let’s solve each part step by step.

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Part 1: Add and subtract fractions with the same denominator

When denominators are the same, we just add or subtract the numerators. Keep the denominator unchanged.

- 5/12 + 5/12 = (5+5)/12 = 10/12 → simplify? Not required unless asked. But let’s check if it reduces: 10 ÷ 2 = 5, 12 ÷ 2 = 6 → 5/6. However, since instructions don’t say to simplify, we can leave as 10/12. But in most school contexts, simplifying is expected. Let’s do both ways — but final answer should be simplified if possible.

Actually, looking at other problems, they may expect simplified answers. Let’s assume simplification is needed unless told otherwise.

So:

→ 5/12 + 5/12 = 10/12 = 5/6

But wait — let me double-check: 5+5=10, over 12 → yes. GCF of 10 and 12 is 2 → divide top and bottom by 2 → 5/6 ✔️

Next:

→ 7/10 + 2/10 = (7+2)/10 = 9/10 (already simplified)

→ 4/5 - 1/5 = (4-1)/5 = 3/5

→ 7/9 - 3/9 = (7-3)/9 = 4/9

✔ All good.

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Part 2: Compare fractions using < or >

We need to compare fractions that may have different denominators. Best way: find common denominator or convert to decimals.

Let’s do common denominators for accuracy.

First pair: 1/2 vs 2/5

LCM of 2 and 5 is 10.

1/2 = 5/10
2/5 = 4/10
5/10 > 4/10 → so 1/2 > 2/5

Second pair: 1/2 vs 5/8

LCM of 2 and 8 is 8.

1/2 = 4/8
5/8 = 5/8
4/8 < 5/8 → so 1/2 < 5/8

Third pair: 3/8 vs 2/5

LCM of 8 and 5 is 40.

3/8 = (3×5)/(8×5) = 15/40
2/5 = (2×8)/(5×8) = 16/40
15/40 < 16/40 → so 3/8 < 2/5

Fourth pair: 7/10 vs 5/8

LCM of 10 and 8 is 40.

7/10 = (7×4)/(10×4) = 28/40
5/8 = (5×5)/(8×5) = 25/40
28/40 > 25/40 → so 7/10 > 5/8

✔ All comparisons done.

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Part 3: Place fractions on number line

Number lines go from 0 to 1, divided into equal parts based on denominator.

First set: 5/8, 1/8, 4/8, 3/8

Denominator is 8 → so number line has 8 equal parts between 0 and 1.

Order them: 1/8, 3/8, 4/8, 5/8

So positions:

- 1/8 → first tick after 0
- 3/8 → third tick
- 4/8 → fourth tick (which is also 1/2)
- 5/8 → fifth tick

Second set: 9/10, 2/10, 7/10, 6/10

Denominator 10 → 10 equal parts.

Order: 2/10, 6/10, 7/10, 9/10

Positions:

- 2/10 → second tick
- 6/10 → sixth tick
- 7/10 → seventh tick
- 9/10 → ninth tick

Note: We’re not drawing here, but describing where they go — which matches what student would mark.

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Part 4: Complete table — Figures to Mixed & Improper Fractions

Look at figures:

(a) Three triangles. Each triangle is divided into 3 equal parts.

First two triangles: fully shaded → that’s 2 whole units.

Third triangle: 2 out of 3 parts shaded → 2/3

So total = 2 + 2/3 = mixed fraction: 2 2/3

Improper fraction: 2 wholes = 6/3, plus 2/3 = 8/3 → 8/3

Check: 2 × 3 = 6, +2 = 8 → yes, 8/3 ✔️

(b) Five hexagons. Each divided into 6 equal parts.

First four: fully shaded → 4 wholes.

Fifth: 5 out of 6 parts shaded → 5/6

Total = 4 + 5/6 = mixed fraction: 4 5/6

Improper fraction: 4 × 6 = 24, +5 = 29 → 29/6

✔️ Correct.

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Now compile all answers clearly.

Final Answer:

Add/Subtract:

5/12 + 5/12 = 5/6
7/10 + 2/10 = 9/10
4/5 - 1/5 = 3/5
7/9 - 3/9 = 4/9

Compare:

1/2 > 2/5
1/2 < 5/8
3/8 < 2/5
7/10 > 5/8

Number Line Placement (order from left to right):

First line (eighths): 1/8, 3/8, 4/8, 5/8
Second line (tenths): 2/10, 6/10, 7/10, 9/10

Table Completion:

(a) Mixed fraction: 2 2/3, Improper fraction: 8/3
(b) Mixed fraction: 4 5/6, Improper fraction: 29/6