Grade 5 Fractions of Numbers | Free Worksheets | Printables - Free Printable

Let's solve each problem step by step. The task is to find fractions of numbers, which means we need to multiply the given fraction by the number.

The general formula is:
$$
\frac{a}{b} \text{ of } c = \frac{a}{b} \times c = \frac{a \times c}{b}
$$

We’ll go through each question and simplify where needed.

---

First Set (Top Half)

1. $ \frac{4}{5} $ of 60
$$
\frac{4}{5} \times 60 = \frac{4 \times 60}{5} = \frac{240}{5} = 48
$$

2. $ \frac{7}{8} $ of 64
$$
\frac{7}{8} \times 64 = \frac{7 \times 64}{8} = \frac{448}{8} = 56
$$

3. $ \frac{5}{9} $ of 81
$$
\frac{5}{9} \times 81 = \frac{5 \times 81}{9} = \frac{405}{9} = 45
$$

4. $ \frac{7}{12} $ of 48
$$
\frac{7}{12} \times 48 = \frac{7 \times 48}{12} = \frac{336}{12} = 28
$$

5. $ \frac{2}{7} $ of 49
$$
\frac{2}{7} \times 49 = \frac{2 \times 49}{7} = \frac{98}{7} = 14
$$

6. $ \frac{8}{9} $ of 63
$$
\frac{8}{9} \times 63 = \frac{8 \times 63}{9} = \frac{504}{9} = 56
$$

7. $ \frac{2}{3} $ of 99
$$
\frac{2}{3} \times 99 = \frac{2 \times 99}{3} = \frac{198}{3} = 66
$$

8. $ \frac{5}{6} $ of 72
$$
\frac{5}{6} \times 72 = \frac{5 \times 72}{6} = \frac{360}{6} = 60
$$

9. $ \frac{11}{12} $ of 144
$$
\frac{11}{12} \times 144 = \frac{11 \times 144}{12} = \frac{1584}{12} = 132
$$

10. $ \frac{9}{11} $ of 88
$$
\frac{9}{11} \times 88 = \frac{9 \times 88}{11} = \frac{792}{11} = 72
$$

11. $ \frac{4}{5} $ of 75
$$
\frac{4}{5} \times 75 = \frac{4 \times 75}{5} = \frac{300}{5} = 60
$$

12. $ \frac{2}{9} $ of 108
$$
\frac{2}{9} \times 108 = \frac{2 \times 108}{9} = \frac{216}{9} = 24
$$

---

Second Set (Bottom Half)

1. $ \frac{8}{9} $ of 45
$$
\frac{8}{9} \times 45 = \frac{8 \times 45}{9} = \frac{360}{9} = 40
$$

2. $ \frac{3}{4} $ of 100
$$
\frac{3}{4} \times 100 = \frac{3 \times 100}{4} = \frac{300}{4} = 75
$$

3. $ \frac{7}{12} $ of 48
$$
\frac{7}{12} \times 48 = \frac{7 \times 48}{12} = \frac{336}{12} = 28
$$

4. $ \frac{2}{3} $ of 36
$$
\frac{2}{3} \times 36 = \frac{2 \times 36}{3} = \frac{72}{3} = 24
$$

5. $ \frac{5}{11} $ of 66
$$
\frac{5}{11} \times 66 = \frac{5 \times 66}{11} = \frac{330}{11} = 30
$$

6. $ \frac{11}{12} $ of 96
$$
\frac{11}{12} \times 96 = \frac{11 \times 96}{12} = \frac{1056}{12} = 88
$$

7. $ \frac{5}{8} $ of 64
$$
\frac{5}{8} \times 64 = \frac{5 \times 64}{8} = \frac{320}{8} = 40
$$

8. $ \frac{3}{7} $ of 42
$$
\frac{3}{7} \times 42 = \frac{3 \times 42}{7} = \frac{126}{7} = 18
$$

9. $ \frac{5}{6} $ of 54
$$
\frac{5}{6} \times 54 = \frac{5 \times 54}{6} = \frac{270}{6} = 45
$$

10. $ \frac{8}{9} $ of 81
$$
\frac{8}{9} \times 81 = \frac{8 \times 81}{9} = \frac{648}{9} = 72
$$

11. $ \frac{7}{8} $ of 32
$$
\frac{7}{8} \times 32 = \frac{7 \times 32}{8} = \frac{224}{8} = 28
$$

12. $ \frac{4}{5} $ of 125
$$
\frac{4}{5} \times 125 = \frac{4 \times 125}{5} = \frac{500}{5} = 100
$$

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✔ Final Answers:

#### First Set:
1. 48
2. 56
3. 45
4. 28
5. 14
6. 56
7. 66
8. 60
9. 132
10. 72
11. 60
12. 24

#### Second Set:
1. 40
2. 75
3. 28
4. 24
5. 30
6. 88
7. 40
8. 18
9. 45
10. 72
11. 28
12. 100

---

🔍 Explanation:

To find a fraction of a number, you:
- Multiply the numerator of the fraction by the number.
- Divide by the denominator.
- Simplify if needed.

Example: $ \frac{4}{5} $ of 60 → $ \frac{4 \times 60}{5} = \frac{240}{5} = 48 $

This method works for all problems. You can also simplify before multiplying to make calculations easier (e.g., cancel common factors).

Let me know if you'd like this in printable format or with steps shown for each!