Fractions online worksheet for Grade 4 - Free Printable

Let's solve each part of the worksheet step by step.

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Part 1: Add and subtract fractions with the same denominator

When adding or subtracting fractions with the same denominator, you simply add or subtract the numerators and keep the denominator the same.

#### 1. $\frac{5}{12} + \frac{5}{12} = \frac{5+5}{12} = \frac{10}{12}$
Simplify: $\frac{10}{12} = \frac{5}{6}$
✔ Answer: $\boxed{\frac{5}{6}}$

#### 2. $\frac{7}{10} + \frac{2}{10} = \frac{7+2}{10} = \frac{9}{10}$
✔ Answer: $\boxed{\frac{9}{10}}$

#### 3. $\frac{4}{5} - \frac{1}{5} = \frac{4-1}{5} = \frac{3}{5}$
✔ Answer: $\boxed{\frac{3}{5}}$

#### 4. $\frac{7}{9} - \frac{3}{9} = \frac{7-3}{9} = \frac{4}{9}$
✔ Answer: $\boxed{\frac{4}{9}}$

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Part 2: Compare fractions using < or >

We’ll compare each pair by converting to decimals or finding a common denominator.

#### 1. $\frac{1}{2} \quad \square \quad \frac{2}{5}$

- $\frac{1}{2} = 0.5$
- $\frac{2}{5} = 0.4$
- $0.5 > 0.4$ → $\frac{1}{2} > \frac{2}{5}$

✔ Answer: $\boxed{>}$

#### 2. $\frac{1}{2} \quad \square \quad \frac{5}{8}$

- $\frac{1}{2} = 0.5$
- $\frac{5}{8} = 0.625$
- $0.5 < 0.625$ → $\frac{1}{2} < \frac{5}{8}$

✔ Answer: $\boxed{<}$

#### 3. $\frac{3}{8} \quad \square \quad \frac{2}{5}$

- $\frac{3}{8} = 0.375$
- $\frac{2}{5} = 0.4$
- $0.375 < 0.4$ → $\frac{3}{8} < \frac{2}{5}$

✔ Answer: $\boxed{<}$

#### 4. $\frac{7}{10} \quad \square \quad \frac{5}{8}$

- $\frac{7}{10} = 0.7$
- $\frac{5}{8} = 0.625$
- $0.7 > 0.625$ → $\frac{7}{10} > \frac{5}{8}$

✔ Answer: $\boxed{>}$

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Part 3: Place fractions on the number line

#### First set: $\frac{5}{8}, \frac{1}{8}, \frac{4}{8}, \frac{3}{8}$

All have denominator 8, so divide the number line from 0 to 1 into 8 equal parts.

Positions:
- $\frac{1}{8}$ → 1st tick
- $\frac{3}{8}$ → 3rd tick
- $\frac{4}{8} = \frac{1}{2}$ → 4th tick (middle)
- $\frac{5}{8}$ → 5th tick

Label them accordingly on the number line.

#### Second set: $\frac{9}{10}, \frac{2}{10}, \frac{7}{10}, \frac{6}{10}$

Divide 0 to 1 into 10 equal parts.

Positions:
- $\frac{2}{10} = 0.2$ → 2nd tick
- $\frac{6}{10} = 0.6$ → 6th tick
- $\frac{7}{10} = 0.7$ → 7th tick
- $\frac{9}{10} = 0.9$ → 9th tick

Label them on the second number line.

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Part 4: Complete the table

We need to interpret the shaded figures and write both mixed fraction and improper fraction.

#### (a) Triangles

Each triangle is divided into 3 parts, and 2 out of 3 parts are shaded in each triangle.

There are 3 triangles, all fully shaded?

Wait — look closely:

Each triangle has 3 sections, and 2 sections shaded per triangle.

So each triangle represents $\frac{2}{3}$.

But there are 3 such triangles, so total shaded area = $3 \times \frac{2}{3} = \frac{6}{3} = 2$

But wait — if each triangle is divided into 3 parts, and 2 are shaded, then each triangle is $\frac{2}{3}$, and there are 3 such triangles.

Total = $3 \times \frac{2}{3} = \frac{6}{3} = 2$

So:
- Improper fraction: $\frac{6}{3} = 2$, but we can leave it as $\frac{6}{3}$ or simplify to 2.
- But since it asks for improper fraction, we use $\frac{6}{3}$, though it simplifies to 2.

But let’s check: Is each triangle fully shaded? No — only 2/3 of each is shaded.

So total shaded = $3 \times \frac{2}{3} = \frac{6}{3} = 2$

So:
- Mixed fraction: $2$ (since it's a whole number)
- Improper fraction: $\frac{6}{3}$ or simplified to $2$, but improper fraction means numerator ≥ denominator, so $\frac{6}{3}$ is acceptable.

But usually, we write improper fraction in simplest form unless specified.

However, since they're asking for improper fraction, and we have 6 thirds, it's $\frac{6}{3}$.

But actually, better to think: total shaded parts = 6 (each triangle has 3 parts, 2 shaded × 3 triangles = 6 shaded parts), total parts = 9 (3×3), but no — the question is about how many wholes.

Wait — the figure shows 3 separate triangles, each with 2/3 shaded.

So total shaded amount = $3 \times \frac{2}{3} = 2$

So:
- Mixed fraction: $2$
- Improper fraction: $\frac{6}{3}$

But $\frac{6}{3} = 2$, which is fine.

Alternatively, maybe the figure is meant to show that each triangle is one whole, and 2/3 of it is shaded.

So total shaded = 2 wholes.

So:
- Mixed fraction: $2$
- Improper fraction: $\frac{6}{3}$

✔ So:
- (a)
- Mixed fraction: $\boxed{2}$
- Improper fraction: $\boxed{\frac{6}{3}}$

But let’s double-check.

Wait — perhaps the triangle is one whole, and it's split into 3 parts, 2 shaded → so each triangle is $\frac{2}{3}$ of a whole.

Three such triangles: $3 \times \frac{2}{3} = 2$

Yes.

So total = 2 wholes.

So mixed fraction = $2$, improper fraction = $\frac{6}{3}$

But sometimes people expect the improper fraction based on parts.

Total shaded parts: 3 triangles × 2 shaded parts = 6 shaded parts
Total possible parts: 3 triangles × 3 parts = 9 parts
But that would be $\frac{6}{9} = \frac{2}{3}$, which is wrong because we have 3 full $\frac{2}{3}$s.

No — the key is: each triangle is a whole, and only 2/3 of each is shaded.

So total shaded amount = $3 \times \frac{2}{3} = 2$ → 2 wholes

So:
- Mixed fraction: $2$
- Improper fraction: $\frac{6}{3}$ (since 6 thirds = 2)

✔ OK.

Now (b): Hexagons

Each hexagon is divided into 6 parts.

There are 5 hexagons.

Look at shading:

- First 4 hexagons: all 6 parts shaded → each is 1 whole
- Fifth hexagon: only 5 parts shaded → $\frac{5}{6}$

So total shaded = $4 \times 1 + \frac{5}{6} = 4\frac{5}{6}$

So:
- Mixed fraction: $\boxed{4\frac{5}{6}}$
- Improper fraction: Convert $4\frac{5}{6} = \frac{4 \times 6 + 5}{6} = \frac{24 + 5}{6} = \frac{29}{6}$

✔ So:
- (b)
- Mixed fraction: $\boxed{4\frac{5}{6}}$
- Improper fraction: $\boxed{\frac{29}{6}}$

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✔ Final Answers Summary

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#### Add and Subtract Fractions
1. $\frac{5}{12} + \frac{5}{12} = \boxed{\frac{5}{6}}$
2. $\frac{7}{10} + \frac{2}{10} = \boxed{\frac{9}{10}}$
3. $\frac{4}{5} - \frac{1}{5} = \boxed{\frac{3}{5}}$
4. $\frac{7}{9} - \frac{3}{9} = \boxed{\frac{4}{9}}$

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#### Compare Fractions
1. $\frac{1}{2} \boxed{>} \frac{2}{5}$
2. $\frac{1}{2} \boxed{<} \frac{5}{8}$
3. $\frac{3}{8} \boxed{<} \frac{2}{5}$
4. $\frac{7}{10} \boxed{>} \frac{5}{8}$

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#### Number Line
- For $\frac{1}{8}, \frac{3}{8}, \frac{4}{8}, \frac{5}{8}$: place at 1st, 3rd, 4th, and 5th ticks (from 0 to 1, divided into 8).
- For $\frac{2}{10}, \frac{6}{10}, \frac{7}{10}, \frac{9}{10}$: place at 2nd, 6th, 7th, 9th ticks (divided into 10).

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#### Complete the Table

| Figures | Mixed Fraction | Improper Fraction |
|--------|----------------|--------------------|
| (a) Three triangles, each with 2/3 shaded | $\boxed{2}$ | $\boxed{\frac{6}{3}}$ |
| (b) Five hexagons, first four full, fifth 5/6 shaded | $\boxed{4\frac{5}{6}}$ | $\boxed{\frac{29}{6}}$ |

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