Step-by-step examples of finding fractions of amounts using visual bar models.

Let's solve each problem step by step, following the pattern shown in the table. We'll use visual representation, working out, and then provide the answer.

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1. Find $ \frac{1}{3} $ of 12

- Visual: Already given as three equal parts of 12: [4 | 4 | 4] → one part shaded.
- Working: $ 12 \div 3 = 4 $
- Answer: £4 ✔

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2. Find $ \frac{2}{3} $ of 12

- Visual: Two out of three parts shaded: [4 | 4 | 4] → first two shaded
- Working:
$ 12 \div 3 = 4 $ (each third is 4)
$ 4 \times 2 = 8 $
- Answer: £8 ✔

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3. Find $ \frac{3}{3} $ of 12

- Visual: All three parts shaded: [4 | 4 | 4] → all shaded
- Working:
$ 12 \div 3 = 4 $
$ 4 \times 3 = 12 $
- Answer: £12

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4. Find $ \frac{1}{4} $ of 12

- Visual: Four equal parts of 12 → each part is $ 12 \div 4 = 3 $
So: [3 | 3 | 3 | 3] → one shaded
- Working:
$ 12 \div 4 = 3 $
- Answer: £3

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5. Find $ \frac{2}{4} $ of 12

- Visual: Four equal parts: [3 | 3 | 3 | 3] → two shaded
- Working:
$ 12 \div 4 = 3 $
$ 3 \times 2 = 6 $
- Answer: £6

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6. Find $ \frac{3}{4} $ of 12

- Visual: Four equal parts: [3 | 3 | 3 | 3] → three shaded
- Working:
$ 12 \div 4 = 3 $
$ 3 \times 3 = 9 $
- Answer: £9

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7. Find $ \frac{4}{4} $ of 24

- Visual: Four equal parts of 24 → each part is $ 24 \div 4 = 6 $
So: [6 | 6 | 6 | 6] → all four shaded
- Working:
$ 24 \div 4 = 6 $
$ 6 \times 4 = 24 $
- Answer: £24

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8. Find $ \frac{5}{4} $ of 12

This is an improper fraction — more than a whole.

- Visual: Four equal parts of 12 → each part is $ 12 \div 4 = 3 $
So: [3 | 3 | 3 | 3] → all four shaded, plus one extra part of 3 (since $ \frac{5}{4} = 1\frac{1}{4} $)
So visual should show five boxes: [3 | 3 | 3 | 3 | 3] → all shaded
- Working:
$ 12 \div 4 = 3 $
$ 3 \times 5 = 15 $
- Answer: £15

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✔ Final Completed Table:

| Question | Visual | Working | Answer |
|------------------------|----------------------------------------|------------------------------------------|--------|
| Find $ \frac{1}{3} $ of 12 | [4 | 4 | 4] → one shaded | $ 12 \div 3 = 4 $ | £4 |
| Find $ \frac{2}{3} $ of 12 | [4 | 4 | 4] → two shaded | $ 12 \div 3 = 4 $, $ 4 \times 2 = 8 $ | £8 |
| Find $ \frac{3}{3} $ of 12 | [4 | 4 | 4] → all shaded | $ 12 \div 3 = 4 $, $ 4 \times 3 = 12 $ | £12 |
| Find $ \frac{1}{4} $ of 12 | [3 | 3 | 3 | 3] → one shaded | $ 12 \div 4 = 3 $ | £3 |
| Find $ \frac{2}{4} $ of 12 | [3 | 3 | 3 | 3] → two shaded | $ 12 \div 4 = 3 $, $ 3 \times 2 = 6 $ | £6 |
| Find $ \frac{3}{4} $ of 12 | [3 | 3 | 3 | 3] → three shaded | $ 12 \div 4 = 3 $, $ 3 \times 3 = 9 $ | £9 |
| Find $ \frac{4}{4} $ of 24 | [6 | 6 | 6 | 6] → all shaded | $ 24 \div 4 = 6 $, $ 6 \times 4 = 24 $ | £24 |
| Find $ \frac{5}{4} $ of 12 | [3 | 3 | 3 | 3 | 3] → all five shaded | $ 12 \div 4 = 3 $, $ 3 \times 5 = 15 $ | £15 |

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🔍 Explanation Summary:

To find a fraction of a number:
1. Divide the total by the denominator to get the value of one part.
2. Multiply that value by the numerator to get the final answer.

For example:
$ \frac{a}{b} $ of $ x $ = $ (x \div b) \times a $

This method works for proper and improper fractions.

✔ All answers are now complete!