Grade 5 term 3 Mathematics worksheet with word sums and fraction comparison tasks.

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

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B) Word Sums

#### 1) How many halves in 6 wholes?
- One whole has 2 halves.
- So, 6 wholes have:
$ 6 \times 2 = 12 $ halves.

✔ Answer: 12

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#### 2) What is 2/4 of 12?
- First, simplify $ \frac{2}{4} $ to $ \frac{1}{2} $.
- Half of 12 is:
$ \frac{1}{2} \times 12 = 6 $

✔ Answer: 6

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#### 3) What other fraction is equal to 4/8?
- Simplify $ \frac{4}{8} $: divide numerator and denominator by 4:
$ \frac{4 \div 4}{8 \div 4} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $ (or any equivalent like $ \frac{2}{4}, \frac{3}{6} $, etc., but simplest form is $ \frac{1}{2} $)

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#### 4) How many quarters in 4 wholes?
- One whole has 4 quarters.
- So, 4 wholes have:
$ 4 \times 4 = 16 $ quarters.

✔ Answer: 16

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C) Compare the fractions. Use <, =, or >

We’ll compare each pair by converting to common denominators or decimals.

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#### 1) $ \frac{8}{6} $ ___ $ \frac{4}{8} $

- Simplify both:
- $ \frac{8}{6} = \frac{4}{3} \approx 1.33 $
- $ \frac{4}{8} = \frac{1}{2} = 0.5 $
- Since $ 1.33 > 0.5 $

✔ Answer: $ \frac{8}{6} > \frac{4}{8} $

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#### 2) $ \frac{5}{8} $ ___ $ \frac{11}{4} $

- Convert to decimals:
- $ \frac{5}{8} = 0.625 $
- $ \frac{11}{4} = 2.75 $
- Clearly, $ 0.625 < 2.75 $

✔ Answer: $ \frac{5}{8} < \frac{11}{4} $

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#### 3) $ \frac{1}{5} $ ___ $ \frac{5}{15} $

- Simplify $ \frac{5}{15} = \frac{1}{3} $
- Now compare $ \frac{1}{5} $ and $ \frac{1}{3} $
- $ \frac{1}{5} = 0.2 $, $ \frac{1}{3} \approx 0.333 $
- So $ 0.2 < 0.333 $

✔ Answer: $ \frac{1}{5} < \frac{5}{15} $

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#### 4) $ \frac{2}{6} $ ___ $ \frac{6}{24} $

- Simplify both:
- $ \frac{2}{6} = \frac{1}{3} $
- $ \frac{6}{24} = \frac{1}{4} $
- $ \frac{1}{3} \approx 0.333 $, $ \frac{1}{4} = 0.25 $
- So $ \frac{1}{3} > \frac{1}{4} $

✔ Answer: $ \frac{2}{6} > \frac{6}{24} $

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#### 5) $ \frac{15}{8} $ ___ $ \frac{4}{6} $

- Convert to decimals:
- $ \frac{15}{8} = 1.875 $
- $ \frac{4}{6} = \frac{2}{3} \approx 0.666 $
- $ 1.875 > 0.666 $

✔ Answer: $ \frac{15}{8} > \frac{4}{6} $

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#### 6) $ \frac{7}{5} $ ___ $ \frac{9}{8} $

- Convert to decimals:
- $ \frac{7}{5} = 1.4 $
- $ \frac{9}{8} = 1.125 $
- $ 1.4 > 1.125 $

✔ Answer: $ \frac{7}{5} > \frac{9}{8} $

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✔ Final Answers:

#### B) Word Sums
1) 12
2) 6
3) $ \frac{1}{2} $
4) 16

#### C) Compare Fractions
1) $ \frac{8}{6} > \frac{4}{8} $
2) $ \frac{5}{8} < \frac{11}{4} $
3) $ \frac{1}{5} < \frac{5}{15} $
4) $ \frac{2}{6} > \frac{6}{24} $
5) $ \frac{15}{8} > \frac{4}{6} $
6) $ \frac{7}{5} > \frac{9}{8} $

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