Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

Let's solve each of these mixed numbers by reducing the fractional part to its lowest terms. We will simplify the fraction portion of each mixed number, keeping the whole number part unchanged.

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🔧 Steps to Simplify:

1. Focus on the fractional part (e.g., 20/30).
2. Find the Greatest Common Divisor (GCD) of the numerator and denominator.
3. Divide both numerator and denominator by the GCD.
4. Keep the whole number part as is.

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Now let’s go through each one:

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#### 1. $ 1 \frac{20}{30} $
- Simplify $ \frac{20}{30} $:
GCD of 20 and 30 is 10
$ \frac{20 ÷ 10}{30 ÷ 10} = \frac{2}{3} $
→ $ 1 \frac{2}{3} $

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#### 2. $ 5 \frac{6}{36} $
- $ \frac{6}{36} $: GCD = 6
$ \frac{6 ÷ 6}{36 ÷ 6} = \frac{1}{6} $
→ $ 5 \frac{1}{6} $

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#### 3. $ 6 \frac{2}{8} $
- $ \frac{2}{8} $: GCD = 2
$ \frac{2 ÷ 2}{8 ÷ 2} = \frac{1}{4} $
→ $ 6 \frac{1}{4} $

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#### 4. $ 8 \frac{9}{15} $
- $ \frac{9}{15} $: GCD = 3
$ \frac{9 ÷ 3}{15 ÷ 3} = \frac{3}{5} $
→ $ 8 \frac{3}{5} $

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#### 5. $ 3 \frac{4}{28} $
- $ \frac{4}{28} $: GCD = 4
$ \frac{4 ÷ 4}{28 ÷ 4} = \frac{1}{7} $
→ $ 3 \frac{1}{7} $

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#### 6. $ 4 \frac{9}{24} $
- $ \frac{9}{24} $: GCD = 3
$ \frac{9 ÷ 3}{24 ÷ 3} = \frac{3}{8} $
→ $ 4 \frac{3}{8} $

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#### 7. $ 4 \frac{4}{36} $
- $ \frac{4}{36} $: GCD = 4
$ \frac{4 ÷ 4}{36 ÷ 4} = \frac{1}{9} $
→ $ 4 \frac{1}{9} $

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#### 8. $ 2 \frac{10}{25} $
- $ \frac{10}{25} $: GCD = 5
$ \frac{10 ÷ 5}{25 ÷ 5} = \frac{2}{5} $
→ $ 2 \frac{2}{5} $

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#### 9. $ 5 \frac{6}{48} $
- $ \frac{6}{48} $: GCD = 6
$ \frac{6 ÷ 6}{48 ÷ 6} = \frac{1}{8} $
→ $ 5 \frac{1}{8} $

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#### 10. $ 9 \frac{36}{63} $
- $ \frac{36}{63} $: GCD = 9
$ \frac{36 ÷ 9}{63 ÷ 9} = \frac{4}{7} $
→ $ 9 \frac{4}{7} $

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#### 11. $ 3 \frac{20}{35} $
- $ \frac{20}{35} $: GCD = 5
$ \frac{20 ÷ 5}{35 ÷ 5} = \frac{4}{7} $
→ $ 3 \frac{4}{7} $

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#### 12. $ 1 \frac{8}{40} $
- $ \frac{8}{40} $: GCD = 8
$ \frac{8 ÷ 8}{40 ÷ 8} = \frac{1}{5} $
→ $ 1 \frac{1}{5} $

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#### 13. $ 5 \frac{25}{30} $
- $ \frac{25}{30} $: GCD = 5
$ \frac{25 ÷ 5}{30 ÷ 5} = \frac{5}{6} $
→ $ 5 \frac{5}{6} $

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#### 14. $ 7 \frac{54}{81} $
- $ \frac{54}{81} $: GCD = 27
$ \frac{54 ÷ 27}{81 ÷ 27} = \frac{2}{3} $
→ $ 7 \frac{2}{3} $

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#### 15. $ 4 \frac{76}{95} $
- $ \frac{76}{95} $: GCD = 19
$ \frac{76 ÷ 19}{95 ÷ 19} = \frac{4}{5} $
→ $ 4 \frac{4}{5} $

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#### 16. $ 9 \frac{36}{42} $
- $ \frac{36}{42} $: GCD = 6
$ \frac{36 ÷ 6}{42 ÷ 6} = \frac{6}{7} $
→ $ 9 \frac{6}{7} $

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#### 17. $ 5 \frac{7}{14} $
- $ \frac{7}{14} $: GCD = 7
$ \frac{7 ÷ 7}{14 ÷ 7} = \frac{1}{2} $
→ $ 5 \frac{1}{2} $

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#### 18. $ 6 \frac{80}{90} $
- $ \frac{80}{90} $: GCD = 10
$ \frac{80 ÷ 10}{90 ÷ 10} = \frac{8}{9} $
→ $ 6 \frac{8}{9} $

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#### 19. $ 2 \frac{54}{72} $
- $ \frac{54}{72} $: GCD = 18
$ \frac{54 ÷ 18}{72 ÷ 18} = \frac{3}{4} $
→ $ 2 \frac{3}{4} $

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#### 20. $ 1 \frac{2}{12} $
- $ \frac{2}{12} $: GCD = 2
$ \frac{2 ÷ 2}{12 ÷ 2} = \frac{1}{6} $
→ $ 1 \frac{1}{6} $

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#### 21. $ 7 \frac{25}{35} $
- $ \frac{25}{35} $: GCD = 5
$ \frac{25 ÷ 5}{35 ÷ 5} = \frac{5}{7} $
→ $ 7 \frac{5}{7} $

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#### 22. $ 8 \frac{22}{33} $
- $ \frac{22}{33} $: GCD = 11
$ \frac{22 ÷ 11}{33 ÷ 11} = \frac{2}{3} $
→ $ 8 \frac{2}{3} $

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✔ Final Answers:

| Original | Simplified |
|--------|------------|
| 1 $ \frac{20}{30} $ | $ 1 \frac{2}{3} $ |
| 5 $ \frac{6}{36} $ | $ 5 \frac{1}{6} $ |
| 6 $ \frac{2}{8} $ | $ 6 \frac{1}{4} $ |
| 8 $ \frac{9}{15} $ | $ 8 \frac{3}{5} $ |
| 3 $ \frac{4}{28} $ | $ 3 \frac{1}{7} $ |
| 4 $ \frac{9}{24} $ | $ 4 \frac{3}{8} $ |
| 4 $ \frac{4}{36} $ | $ 4 \frac{1}{9} $ |
| 2 $ \frac{10}{25} $ | $ 2 \frac{2}{5} $ |
| 5 $ \frac{6}{48} $ | $ 5 \frac{1}{8} $ |
| 9 $ \frac{36}{63} $ | $ 9 \frac{4}{7} $ |
| 3 $ \frac{20}{35} $ | $ 3 \frac{4}{7} $ |
| 1 $ \frac{8}{40} $ | $ 1 \frac{1}{5} $ |
| 5 $ \frac{25}{30} $ | $ 5 \frac{5}{6} $ |
| 7 $ \frac{54}{81} $ | $ 7 \frac{2}{3} $ |
| 4 $ \frac{76}{95} $ | $ 4 \frac{4}{5} $ |
| 9 $ \frac{36}{42} $ | $ 9 \frac{6}{7} $ |
| 5 $ \frac{7}{14} $ | $ 5 \frac{1}{2} $ |
| 6 $ \frac{80}{90} $ | $ 6 \frac{8}{9} $ |
| 2 $ \frac{54}{72} $ | $ 2 \frac{3}{4} $ |
| 1 $ \frac{2}{12} $ | $ 1 \frac{1}{6} $ |
| 7 $ \frac{25}{35} $ | $ 7 \frac{5}{7} $ |
| 8 $ \frac{22}{33} $ | $ 8 \frac{2}{3} $ |

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✔ All fractions are now in their lowest terms.

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