This Grade 5 mathematics worksheet helps students master converting mixed numbers to improper fractions and reducing fractions to their simplest form.

It looks like you've uploaded a math worksheet titled "TERM 1 - Worksheet 3" for Grade 5, focusing on fractions. The worksheet has two main sections:

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Section A: Fill in the missing number to make each pair of fractions equivalent.

We are given pairs of fractions where one numerator or denominator is missing, and we need to find the missing value so that the two fractions are equivalent.

Let’s solve each one step by step.

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#### 1.
$$
\frac{2}{3} = \frac{?}{6}
$$

To make this equivalent, we multiply both numerator and denominator by 2:
$$
\frac{2 \times 2}{3 \times 2} = \frac{4}{6}
$$
✔ Answer: 4

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#### 2.
$$
\frac{3}{4} = \frac{?}{8}
$$

Multiply numerator and denominator by 2:
$$
\frac{3 \times 2}{4 \times 2} = \frac{6}{8}
$$
✔ Answer: 6

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#### 3.
$$
\frac{4}{5} = \frac{?}{10}
$$

Multiply numerator and denominator by 2:
$$
\frac{4 \times 2}{5 \times 2} = \frac{8}{10}
$$
✔ Answer: 8

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#### 4.
$$
\frac{1}{3} = \frac{?}{9}
$$

Multiply numerator and denominator by 3:
$$
\frac{1 \times 3}{3 \times 3} = \frac{3}{9}
$$
✔ Answer: 3

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#### 5.
$$
\frac{7}{8} = \frac{?}{16}
$$

Multiply numerator and denominator by 2:
$$
\frac{7 \times 2}{8 \times 2} = \frac{14}{16}
$$
✔ Answer: 14

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#### 6.
$$
\frac{5}{6} = \frac{?}{12}
$$

Multiply numerator and denominator by 2:
$$
\frac{5 \times 2}{6 \times 2} = \frac{10}{12}
$$
✔ Answer: 10

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#### 7.
$$
\frac{2}{7} = \frac{?}{21}
$$

Multiply numerator and denominator by 3:
$$
\frac{2 \times 3}{7 \times 3} = \frac{6}{21}
$$
✔ Answer: 6

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#### 8.
$$
\frac{3}{10} = \frac{?}{30}
$$

Multiply numerator and denominator by 3:
$$
\frac{3 \times 3}{10 \times 3} = \frac{9}{30}
$$
✔ Answer: 9

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#### 9.
$$
\frac{1}{4} = \frac{?}{20}
$$

Multiply numerator and denominator by 5:
$$
\frac{1 \times 5}{4 \times 5} = \frac{5}{20}
$$
✔ Answer: 5

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#### 10.
$$
\frac{5}{12} = \frac{?}{24}
$$

Multiply numerator and denominator by 2:
$$
\frac{5 \times 2}{12 \times 2} = \frac{10}{24}
$$
✔ Answer: 10

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✔ Section A Answers:

| Problem | Answer |
|--------|--------|
| 1 | 4 |
| 2 | 6 |
| 3 | 8 |
| 4 | 3 |
| 5 | 14 |
| 6 | 10 |
| 7 | 6 |
| 8 | 9 |
| 9 | 5 |
| 10 | 10 |

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Section B: Simplify the following fractions.

Now we simplify each fraction to its lowest terms.

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#### 1.
$$
\frac{12}{18}
$$

Find GCF of 12 and 18 → GCF = 6
$$
\frac{12 \div 6}{18 \div 6} = \frac{2}{3}
$$
✔ Answer: $ \frac{2}{3} $

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#### 2.
$$
\frac{4}{10}
$$

GCF of 4 and 10 → 2
$$
\frac{4 \div 2}{10 \div 2} = \frac{2}{5}
$$
✔ Answer: $ \frac{2}{5} $

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#### 3.
$$
\frac{6}{9}
$$

GCF of 6 and 9 → 3
$$
\frac{6 \div 3}{9 \div 3} = \frac{2}{3}
$$
✔ Answer: $ \frac{2}{3} $

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#### 4.
$$
\frac{15}{20}
$$

GCF of 15 and 20 → 5
$$
\frac{15 \div 5}{20 \div 5} = \frac{3}{4}
$$
✔ Answer: $ \frac{3}{4} $

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#### 5.
$$
\frac{10}{12}
$$

GCF of 10 and 12 → 2
$$
\frac{10 \div 2}{12 \div 2} = \frac{5}{6}
$$
✔ Answer: $ \frac{5}{6} $

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#### 6.
$$
\frac{8}{12}
$$

GCF of 8 and 12 → 4
$$
\frac{8 \div 4}{12 \div 4} = \frac{2}{3}
$$
✔ Answer: $ \frac{2}{3} $

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#### 7.
$$
\frac{14}{21}
$$

GCF of 14 and 21 → 7
$$
\frac{14 \div 7}{21 \div 7} = \frac{2}{3}
$$
✔ Answer: $ \frac{2}{3} $

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#### 8.
$$
\frac{12}{24}
$$

GCF of 12 and 24 → 12
$$
\frac{12 \div 12}{24 \div 12} = \frac{1}{2}
$$
✔ Answer: $ \frac{1}{2} $

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#### 9.
$$
\frac{18}{24}
$$

GCF of 18 and 24 → 6
$$
\frac{18 \div 6}{24 \div 6} = \frac{3}{4}
$$
✔ Answer: $ \frac{3}{4} $

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#### 10.
$$
\frac{10}{15}
$$

GCF of 10 and 15 → 5
$$
\frac{10 \div 5}{15 \div 5} = \frac{2}{3}
$$
✔ Answer: $ \frac{2}{3} $

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✔ Section B Answers:

| Problem | Simplified Fraction |
|--------|---------------------|
| 1 | $ \frac{2}{3} $ |
| 2 | $ \frac{2}{5} $ |
| 3 | $ \frac{2}{3} $ |
| 4 | $ \frac{3}{4} $ |
| 5 | $ \frac{5}{6} $ |
| 6 | $ \frac{2}{3} $ |
| 7 | $ \frac{2}{3} $ |
| 8 | $ \frac{1}{2} $ |
| 9 | $ \frac{3}{4} $ |
| 10 | $ \frac{2}{3} $ |

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📌 Summary:

- Section A: Find missing numbers to make fractions equivalent — use multiplication (scale up).
- Section B: Simplify fractions — divide numerator and denominator by their Greatest Common Factor (GCF).

Let me know if you'd like this formatted as a printable answer sheet!