Engaging "Color by Number" math activity for practicing multiplying fractions.

To solve this "Color by Number" worksheet, we need to multiply the fractions in each exercise and match the result (in simplest form) to the correct color. Then we would color the corresponding sections of the mandala.

Since we can’t actually color here, I’ll solve all 12 multiplication problems step by step and give you the final answer for each — which tells you what color goes where.

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Exercise 1:
$\frac{5}{6} \times \frac{1}{5}$
Multiply numerators: $5 \times 1 = 5$
Multiply denominators: $6 \times 5 = 30$
→ $\frac{5}{30}$ → simplify by dividing top and bottom by 5 → $\frac{1}{6}$
✔ Answer: Blue

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Exercise 2:
$\frac{7}{8} \times \frac{4}{7}$
Numerators: $7 \times 4 = 28$
Denominators: $8 \times 7 = 56$
→ $\frac{28}{56}$ → divide by 28 → $\frac{1}{2}$
✔ Answer: Yellow

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Exercise 3:
$\frac{15}{16} \times \frac{4}{5}$
We can cross-cancel before multiplying:
15 and 5 → both divisible by 5 → 15÷5=3, 5÷5=1
4 and 16 → both divisible by 4 → 4÷4=1, 16÷4=4
Now: $\frac{3}{4} \times \frac{1}{1} = \frac{3}{4}$
✔ Answer: Teal

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Exercise 4:
$\frac{9}{10} \times \frac{2}{3}$
Cross-cancel: 9 and 3 → 9÷3=3, 3÷3=1
2 and 10 → 2÷2=1, 10÷2=5
Now: $\frac{3}{5} \times \frac{1}{1} = \frac{3}{5}$
✔ Answer: Pink

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Exercise 5:
$\frac{10}{11} \times \frac{1}{5}$
10 and 5 → 10÷5=2, 5÷5=1
→ $\frac{2}{11} \times \frac{1}{1} = \frac{2}{11}$
✔ Answer: Purple

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Exercise 6:
$\frac{8}{9} \times \frac{12}{16}$
Simplify first: 12/16 = 3/4 (divide by 4)
So: $\frac{8}{9} \times \frac{3}{4}$
Cross-cancel: 8 and 4 → 8÷4=2, 4÷4=1
3 and 9 → 3÷3=1, 9÷3=3
→ $\frac{2}{3} \times \frac{1}{1} = \frac{2}{3}$
✔ Answer: Black

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Exercise 7:
$\frac{12}{13} \times \frac{1}{6}$
12 and 6 → 12÷6=2, 6÷6=1
→ $\frac{2}{13} \times \frac{1}{1} = \frac{2}{13}$
✔ Answer: Gray

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Exercise 8:
$\frac{9}{10} \times \frac{4}{9}$
9 and 9 cancel → 1 and 1
4 and 10 → divide by 2 → 2 and 5
→ $\frac{1}{5} \times \frac{2}{1} = \frac{2}{5}$
✔ Answer: Blue

*(Wait — let’s double-check:)*
Original: $\frac{9}{10} \times \frac{4}{9} = \frac{36}{90}$ → divide numerator and denominator by 18 → $\frac{2}{5}$ ✔
Yes, same as above.

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Exercise 9:
$\frac{9}{14} \times \frac{7}{12}$
Cross-cancel: 9 and 12 → divide by 3 → 3 and 4
7 and 14 → divide by 7 → 1 and 2
→ $\frac{3}{2} \times \frac{1}{4} = \frac{3}{8}$? Wait — no! Let's do it properly:

Actually:
$\frac{9}{14} \times \frac{7}{12} = \frac{9 \times 7}{14 \times 12} = \frac{63}{168}$

But better to cancel first:
9 and 12 → GCF 3 → 9÷3=3, 12÷3=4
7 and 14 → GCF 7 → 7÷7=1, 14÷7=2
So now: $\frac{3}{2} \times \frac{1}{4} = \frac{3}{8}$? No — wait, that’s wrong setup.

Correct cancellation:
Write as:
$\frac{9}{14} \times \frac{7}{12} = \frac{9 \times 7}{14 \times 12}$

Cancel 7 and 14 → 7÷7=1, 14÷7=2 → becomes $\frac{9 \times 1}{2 \times 12} = \frac{9}{24}$

Then 9 and 24 → divide by 3 → $\frac{3}{8}$

✔ Answer: Yellow

Wait — but earlier Exercise 2 was also Yellow? That’s okay — multiple sections can be same color.

But let me check again:
$\frac{9}{14} \times \frac{7}{12} = \frac{63}{168}$
Divide numerator and denominator by 21: 63÷21=3, 168÷21=8 → $\frac{3}{8}$ ✔

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Exercise 10:
$\frac{11}{12} \times \frac{4}{11}$
11 and 11 cancel → 1 and 1
4 and 12 → divide by 4 → 1 and 3
→ $\frac{1}{3} \times \frac{1}{1} = \frac{1}{3}$
✔ Answer: Pink

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Exercise 11:
$\frac{13}{14} \times \frac{7}{11}$
7 and 14 → 7÷7=1, 14÷7=2
→ $\frac{13}{2} \times \frac{1}{11} = \frac{13}{22}$
Can’t simplify further.
✔ Answer: Orange

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Exercise 12:
$\frac{12}{13} \times \frac{13}{12}$
This is reciprocal → equals 1
Or: $\frac{12 \times 13}{13 \times 12} = \frac{156}{156} = 1$
✔ Answer: Black

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Let’s list all answers clearly:

1. $\frac{1}{6}$ → Blue
2. $\frac{1}{2}$ → Yellow
3. $\frac{3}{4}$ → Teal
4. $\frac{3}{5}$ → Pink
5. $\frac{2}{11}$ → Purple
6. $\frac{2}{3}$ → Black
7. $\frac{2}{13}$ → Gray
8. $\frac{2}{5}$ → Blue
9. $\frac{3}{8}$ → Yellow
10. $\frac{1}{3}$ → Pink
11. $\frac{13}{22}$ → Orange
12. $1$ → Black

Note: Some colors repeat — that’s normal in these worksheets. You’ll color every section labeled with that number using the assigned color.

Final Answer:
The solved exercises correspond to the following colors:
1. Blue
2. Yellow
3. Teal
4. Pink
5. Purple
6. Black
7. Gray
8. Blue
9. Yellow
10. Pink
11. Orange
12. Black