Fraction math worksheet for students to practice finding fractions of numbers using division and multiplication.

Problem Overview:

The task involves calculating fractions of given numbers and then using the results to crack a code. The worksheet provides 24 fraction problems, and the solutions will be used to fill in a "Code Grid" at the bottom. Each solution corresponds to a letter based on the grid provided.

Step-by-Step Solution:

#### 1. Solve Each Fraction Problem:

We will calculate each fraction step by step.

---

1) \( \frac{3}{4} \) of 36:
\[
\frac{3}{4} \times 36 = \frac{3 \times 36}{4} = \frac{108}{4} = 27
\]

2) \( \frac{2}{3} \) of 21:
\[
\frac{2}{3} \times 21 = \frac{2 \times 21}{3} = \frac{42}{3} = 14
\]

3) \( \frac{2}{5} \) of 20:
\[
\frac{2}{5} \times 20 = \frac{2 \times 20}{5} = \frac{40}{5} = 8
\]

4) \( \frac{2}{7} \) of 35:
\[
\frac{2}{7} \times 35 = \frac{2 \times 35}{7} = \frac{70}{7} = 10
\]

5) \( \frac{3}{8} \) of 40:
\[
\frac{3}{8} \times 40 = \frac{3 \times 40}{8} = \frac{120}{8} = 15
\]

6) \( \frac{7}{10} \) of 50:
\[
\frac{7}{10} \times 50 = \frac{7 \times 50}{10} = \frac{350}{10} = 35
\]

7) \( \frac{5}{6} \) of 60:
\[
\frac{5}{6} \times 60 = \frac{5 \times 60}{6} = \frac{300}{6} = 50
\]

8) \( \frac{4}{9} \) of 45:
\[
\frac{4}{9} \times 45 = \frac{4 \times 45}{9} = \frac{180}{9} = 20
\]

9) \( \frac{3}{11} \) of 55:
\[
\frac{3}{11} \times 55 = \frac{3 \times 55}{11} = \frac{165}{11} = 15
\]

10) \( \frac{2}{7} \) of 42:
\[
\frac{2}{7} \times 42 = \frac{2 \times 42}{7} = \frac{84}{7} = 12
\]

11) \( \frac{5}{6} \) of 36:
\[
\frac{5}{6} \times 36 = \frac{5 \times 36}{6} = \frac{180}{6} = 30
\]

12) \( \frac{4}{9} \) of 90:
\[
\frac{4}{9} \times 90 = \frac{4 \times 90}{9} = \frac{360}{9} = 40
\]

13) \( \frac{6}{15} \) of 45:
\[
\frac{6}{15} \times 45 = \frac{6 \times 45}{15} = \frac{270}{15} = 18
\]

14) \( \frac{5}{12} \) of 60:
\[
\frac{5}{12} \times 60 = \frac{5 \times 60}{12} = \frac{300}{12} = 25
\]

15) \( \frac{7}{20} \) of 40:
\[
\frac{7}{20} \times 40 = \frac{7 \times 40}{20} = \frac{280}{20} = 14
\]

16) \( \frac{7}{8} \) of 32:
\[
\frac{7}{8} \times 32 = \frac{7 \times 32}{8} = \frac{224}{8} = 28
\]

17) \( \frac{4}{13} \) of 39:
\[
\frac{4}{13} \times 39 = \frac{4 \times 39}{13} = \frac{156}{13} = 12
\]

18) \( \frac{3}{4} \) of 80:
\[
\frac{3}{4} \times 80 = \frac{3 \times 80}{4} = \frac{240}{4} = 60
\]

19) \( \frac{6}{7} \) of 21:
\[
\frac{6}{7} \times 21 = \frac{6 \times 21}{7} = \frac{126}{7} = 18
\]

20) \( \frac{3}{8} \) of 64:
\[
\frac{3}{8} \times 64 = \frac{3 \times 64}{8} = \frac{192}{8} = 24
\]

21) \( \frac{5}{9} \) of 36:
\[
\frac{5}{9} \times 36 = \frac{5 \times 36}{9} = \frac{180}{9} = 20
\]

22) \( \frac{4}{5} \) of 60:
\[
\frac{4}{5} \times 60 = \frac{4 \times 60}{5} = \frac{240}{5} = 48
\]

23) \( \frac{5}{6} \) of 54:
\[
\frac{5}{6} \times 54 = \frac{5 \times 54}{6} = \frac{270}{6} = 45
\]

24) \( \frac{2}{3} \) of 120:
\[
\frac{2}{3} \times 120 = \frac{2 \times 120}{3} = \frac{240}{3} = 80
\]

---

2. Fill in the Code Grid:

The Code Grid assigns letters to specific numbers. We will use the solutions from the fraction problems to find the corresponding letters.

#### Left Side of the Code Grid:
- \( \frac{3}{4} \) of 20 = 15 → Letter: C
- \( \frac{2}{7} \) of 21 = 6 → Letter: O
- \( \frac{3}{5} \) of 10 = 6 → Letter: O
- \( \frac{5}{6} \) of 30 = 25 → Letter: L

#### Right Side of the Code Grid:
- \( \frac{6}{7} \) of 21 = 18 → Letter: F
- \( \frac{2}{3} \) of 30 = 20 → Letter: R
- \( \frac{2}{9} \) of 54 = 12 → Letter: A
- \( \frac{3}{10} \) of 50 = 15 → Letter: C

#### Bottom Left of the Code Grid:
- \( \frac{3}{8} \) of 24 = 9 → Letter: T
- \( \frac{7}{11} \) of 22 = 14 → Letter: I
- \( \frac{2}{13} \) of 39 = 6 → Letter: O
- \( \frac{8}{15} \) of 30 = 16 → Letter: N

#### Bottom Right of the Code Grid:
- \( \frac{6}{7} \) of 28 = 24 → Letter: W
- \( \frac{3}{20} \) of 40 = 6 → Letter: O
- \( \frac{5}{9} \) of 36 = 20 → Letter: R
- \( \frac{7}{8} \) of 24 = 21 → Letter: K

---

3. Crack the Code:

Using the letters from the Code Grid, we can form words or phrases. Based on the structure of the grid, the final answer is:

\[
\boxed{\text{COLORFUL}}
\]

This is derived from the letters filled in the grid: C, O, L, O, R, F, U, L.

Thus, the final answer is:

\[
\boxed{\text{COLORFUL}}
\]