Multiplying Fractions (Visual) Worksheet Download - Free Printable

You're working on a visual fraction multiplication worksheet. The goal is to multiply two fractions and show the result visually using the provided box (which represents a whole, or 1).

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## 🧠 How to Multiply Fractions (Visually & Mathematically)

Step 1: Multiply Numerators → Top × Top

Step 2: Multiply Denominators → Bottom × Bottom

Step 3: Simplify if possible

Visually:
- Divide the box into rows (for the first fraction’s denominator) and columns (for the second fraction’s denominator).
- Shade the appropriate number of rows and columns.
- The overlapping shaded area is your answer.

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Let’s solve each problem:

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✔ Example:

$\frac{3}{6} \times \frac{1}{9}$

Multiply numerators: $3 \times 1 = 3$
Multiply denominators: $6 \times 9 = 54$
→ $\frac{3}{54}$ → simplify by dividing numerator and denominator by 3 → $\frac{1}{18}$

But the answer shown is $\frac{3}{54}$ — they may not have simplified yet. We’ll follow that pattern unless simplifying is required.

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## 🔢 Solutions for Each Problem:

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1) $\frac{2}{3} \times \frac{2}{6}$

Numerator: $2 \times 2 = 4$
Denominator: $3 \times 6 = 18$
→ $\boxed{\frac{4}{18}}$ → can simplify to $\frac{2}{9}$, but we’ll leave as $\frac{4}{18}$ unless told otherwise.

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2) $\frac{2}{3} \times \frac{2}{3}$

Numerator: $2 \times 2 = 4$
Denominator: $3 \times 3 = 9$
→ $\boxed{\frac{4}{9}}$

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3) $\frac{6}{7} \times \frac{1}{3}$

Numerator: $6 \times 1 = 6$
Denominator: $7 \times 3 = 21$
→ $\boxed{\frac{6}{21}}$ → simplifies to $\frac{2}{7}$

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4) $\frac{1}{7} \times \frac{1}{2}$

Numerator: $1 \times 1 = 1$
Denominator: $7 \times 2 = 14$
→ $\boxed{\frac{1}{14}}$

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5) $\frac{3}{8} \times \frac{5}{9}$

Numerator: $3 \times 5 = 15$
Denominator: $8 \times 9 = 72$
→ $\boxed{\frac{15}{72}}$ → simplifies to $\frac{5}{24}$

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6) $\frac{3}{4} \times \frac{1}{7}$

Numerator: $3 \times 1 = 3$
Denominator: $4 \times 7 = 28$
→ $\boxed{\frac{3}{28}}$

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7) $\frac{2}{8} \times \frac{2}{5}$

Numerator: $2 \times 2 = 4$
Denominator: $8 \times 5 = 40$
→ $\boxed{\frac{4}{40}}$ → simplifies to $\frac{1}{10}$

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8) $\frac{3}{7} \times \frac{3}{8}$

Numerator: $3 \times 3 = 9$
Denominator: $7 \times 8 = 56$
→ $\boxed{\frac{9}{56}}$

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9) $\frac{4}{5} \times \frac{1}{4}$

Numerator: $4 \times 1 = 4$
Denominator: $5 \times 4 = 20$
→ $\boxed{\frac{4}{20}}$ → simplifies to $\frac{1}{5}$

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10) $\frac{2}{4} \times \frac{6}{8}$

Numerator: $2 \times 6 = 12$
Denominator: $4 \times 8 = 32$
→ $\boxed{\frac{12}{32}}$ → simplifies to $\frac{3}{8}$

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11) $\frac{2}{7} \times \frac{1}{4}$

Numerator: $2 \times 1 = 2$
Denominator: $7 \times 4 = 28$
→ $\boxed{\frac{2}{28}}$ → simplifies to $\frac{1}{14}$

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## 🖍️ Visual Representation Tips (for the boxes):

For each problem, draw a rectangle (the box). Divide it into rows × columns based on the denominators.

Example for #1: $\frac{2}{3} \times \frac{2}{6}$

- Divide the box into 3 rows (for denominator 3), shade 2 rows (numerator 2).
- Divide the same box into 6 columns, shade 2 columns.
- The overlapping region (where both row and column shading meet) is the product → 4 small rectangles out of 18 total → $\frac{4}{18}$

You can lightly shade rows one way (e.g., horizontal lines) and columns another (vertical lines), then the intersection is darker — that’s your answer.

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## ✍️ Final Answers (as you’d write in the "Answers" column):

> Ex. $\frac{3}{54}$
> 1. $\frac{4}{18}$
> 2. $\frac{4}{9}$
> 3. $\frac{6}{21}$
> 4. $\frac{1}{14}$
> 5. $\frac{15}{72}$
> 6. $\frac{3}{28}$
> 7. $\frac{4}{40}$
> 8. $\frac{9}{56}$
> 9. $\frac{4}{20}$
> 10. $\frac{12}{32}$
> 11. $\frac{2}{28}$

*(Note: If your teacher expects simplified answers, reduce them — e.g., $\frac{4}{18} = \frac{2}{9}$, etc. But since the example wasn’t simplified, I kept them as-is.)*

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✔ You’re all set! Just fill in the boxes with the visual shading and write the fractions in the answer column.

Let me know if you want help drawing any specific visual model!