Year 3 Maths Fractions free Resources Add and subtract fractions ... - Free Printable

Let's solve the problem step by step using the image you've provided. The goal is to subtract fractions with the same denominator, using visual models (bar models, circles, and grids) to understand the subtraction.

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🔷 Section 1: Use the bar model to subtract the fractions

We are given visual bar models and need to fill in the missing numbers.

#### 1. First bar model:
- A bar divided into 6 parts, 5 shaded.
- Then some parts are crossed out (3 of them).
- So:
$$
\frac{5}{6} - \frac{3}{6} = \frac{2}{6}
$$

✔ Answer: $ \frac{5}{6} - \frac{3}{6} = \frac{2}{6} $

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#### 2. Second bar model:
- A bar divided into 10 parts, 9 shaded.
- Two parts are crossed out.
- So:
$$
\frac{9}{10} - \frac{2}{10} = \frac{7}{10}
$$

✔ Answer: $ \frac{9}{10} - \frac{2}{10} = \frac{7}{10} $

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#### 3. Circle divided into 4 parts (orange), 4/4 shaded, 1 part crossed out:
- $ \frac{4}{4} - \frac{1}{4} = \frac{3}{4} $

✔ Answer: $ \frac{4}{4} - \frac{1}{4} = \frac{3}{4} $

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#### 4. Blue circle divided into 6 parts, 5 shaded, 2 crossed out:
- $ \frac{5}{6} - \frac{2}{6} = \frac{3}{6} $

✔ Answer: $ \frac{5}{6} - \frac{2}{6} = \frac{3}{6} $

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#### 5. Red circle divided into 12 parts:
- 8 parts shaded red, 2 white, 2 shaded but crossed out (red with X).
- So total shaded initially: 8, then subtract 2 → 6 left.
- So:
$$
\frac{8}{12} - \frac{2}{12} = \frac{6}{12}
$$

✔ Answer: $ \frac{8}{12} - \frac{2}{12} = \frac{6}{12} $

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🔷 Section 2: Use your own drawings to show the subtraction number sentence

#### 1. $ \frac{7}{8} - \frac{6}{8} = ? $
- Draw a bar divided into 8 equal parts.
- Shade 7 parts.
- Cross out 6 parts.
- Remaining: 1 part.
- So:
$$
\frac{7}{8} - \frac{6}{8} = \frac{1}{8}
$$

✔ Answer: $ \frac{1}{8} $

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#### 2. $ \frac{5}{5} - \frac{5}{5} = ? $
- Draw a bar divided into 5 parts, all shaded.
- Subtract all 5 parts → nothing remains.
- So:
$$
\frac{5}{5} - \frac{5}{5} = \frac{0}{5} = 0
$$

✔ Answer: $ 0 $

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🔷 Section 3: Solve the number sentence by finding the difference

Now we use grid models to find the differences.

#### 1. Grid: 6 parts total, 3 shaded purple, 1 white, and 2 more shaded (but only 3 shaded total). Wait — let’s analyze carefully.

Wait: The first grid shows a 2×3 grid (6 squares). 3 are shaded purple, and one white square is below with an arrow pointing to it — meaning the shaded part is being reduced.

Actually, looking at the image:

- The top-left grid has 6 squares: 3 shaded (purple), 3 unshaded.
- Below it, an arrow points to one unshaded square — so we're subtracting 1 part.
- So:
$$
\frac{3}{6} - \frac{1}{6} = \frac{2}{6}
$$

✔ Answer: $ \frac{3}{6} - \frac{1}{6} = \frac{2}{6} $

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#### 2. Yellow grid: 16 squares (4×4), 12 shaded yellow, 4 unshaded.
- Arrow points to 2 unshaded squares.
- So we’re subtracting 2 parts:
$$
\frac{12}{16} - \frac{2}{16} = \frac{10}{16}
$$

✔ Answer: $ \frac{12}{16} - \frac{2}{16} = \frac{10}{16} $

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#### 3. Yellow grid: 8 squares (2×4), 4 shaded, 4 unshaded.
- Arrow points to 1 unshaded square.
- So:
$$
\frac{4}{8} - \frac{1}{8} = \frac{3}{8}
$$

✔ Answer: $ \frac{4}{8} - \frac{1}{8} = \frac{3}{8} $

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#### 4. Green grid: 12 squares (3×4), 6 shaded green, 6 unshaded.
- Arrow points to 2 unshaded squares.
- So:
$$
\frac{6}{12} - \frac{2}{12} = \frac{4}{12}
$$

✔ Answer: $ \frac{6}{12} - \frac{2}{12} = \frac{4}{12} $

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✔ Final Answers Summary:

#### Section 1:
1. $ \frac{5}{6} - \frac{3}{6} = \frac{2}{6} $
2. $ \frac{9}{10} - \frac{2}{10} = \frac{7}{10} $
3. $ \frac{4}{4} - \frac{1}{4} = \frac{3}{4} $
4. $ \frac{5}{6} - \frac{2}{6} = \frac{3}{6} $
5. $ \frac{8}{12} - \frac{2}{12} = \frac{6}{12} $

#### Section 2:
6. $ \frac{7}{8} - \frac{6}{8} = \frac{1}{8} $
7. $ \frac{5}{5} - \frac{5}{5} = 0 $

#### Section 3:
8. $ \frac{3}{6} - \frac{1}{6} = \frac{2}{6} $
9. $ \frac{12}{16} - \frac{2}{16} = \frac{10}{16} $
10. $ \frac{4}{8} - \frac{1}{8} = \frac{3}{8} $
11. $ \frac{6}{12} - \frac{2}{12} = \frac{4}{12} $

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📌 Key Concept:

When subtracting fractions with the same denominator, you only subtract the numerators and keep the denominator the same.

Example:
$$
\frac{a}{b} - \frac{c}{b} = \frac{a - c}{b}
$$

The visual models help us see how many parts are being removed from the whole.

Let me know if you'd like this turned into a printable answer sheet!