Equivalent fractions practice worksheet with fraction bars and blank spaces for answers.

You’ve uploaded a worksheet that focuses on equivalent fractions using visual fraction models (rectangles divided into equal parts). The goal is to fill in the missing numerators or denominators so that the fractions on both sides of the equation are equivalent.

Let’s solve each box one by one and explain the reasoning.

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🔹 Box 1:

Visual: Two halves (½ + ½) = 4/8
Equation: `□ / 2 = 4/8`

- We know 4/8 simplifies to 1/2.
- So, `□ / 2 = 1/2` → □ = 1

✔ Answer: 1

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🔹 Box 2:

Visual: One quarter (¼) = ? / 8
Equation: `1/4 = □ / 8`

- To go from denominator 4 to 8, multiply by 2.
- So multiply numerator by 2: 1 × 2 = 2

✔ Answer: 2

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🔹 Box 3:

Visual: Two quarters (¼ + ¼) = 2/4 → equals ? / 2
Equation: `2/4 = □ / 2`

- Simplify 2/4 → 1/2
- So □ / 2 = 1/2 → □ = 1

✔ Answer: 1

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🔹 Box 4:

Visual: Two sixths (⅙ + ⅙) = 2/6 → equals ? / 3
Equation: `□ / 6 = 2/3`

Wait — this is written as:
> `□ / 6 = 2/3`

That would mean:
To make 2/3 have denominator 6, multiply numerator and denominator by 2:
→ 2/3 = 4/6

So □ = 4

✔ Answer: 4

*(Note: The visual shows two sixths shaded, which is 2/6 = 1/3 — but the equation says “= 2/3”, so we follow the equation.)*

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🔹 Box 5:

Visual: Three fifths? Wait — actually, it’s labeled as:
Equation: `□ / 2 = 3/6`

- 3/6 simplifies to 1/2
- So □ / 2 = 1/2 → □ = 1

✔ Answer: 1

*(The visual shows three ⅕ pieces? That might be misleading — but equation is clear: □/2 = 3/6 → answer is 1.)*

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🔹 Box 6:

Visual: Three quarters (¾) = ? / 8
Equation: `3/4 = □ / 8`

- Multiply denominator 4 by 2 → 8
- Multiply numerator 3 by 2 → 6

✔ Answer: 6

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🔹 Box 7:

Visual: One quarter (¼) and one eighth (⅛) — but the equation is:
Equation: `□ / 4 = 4/8`

- 4/8 = 1/2
- So □ / 4 = 1/2 → □ = 2 (because 2/4 = 1/2)

✔ Answer: 2

*(Visually, if you combine ¼ and ⅛, you get 3/8 — but again, equation overrides visual here. Follow the math!)*

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🔹 Box 8:

Visual: One fifth (⅕) and one third (⅓) — but equation is:
Equation: `□ / 6 = □ / 3`

This is tricky — likely meant to show equivalence.

We need to find numbers such that:
`□ / 6 = □ / 3`

But that’s impossible unless both are zero — unless it's a typo or mislabel.

Looking at the visual: It shows 1/5 and 1/3 — but that doesn’t help.

Wait — perhaps the equation is meant to be:

> `□ / 6 = 2 / 3` ← maybe the second box is 2?

Or perhaps:

Looking at common patterns — often these worksheets ask for equivalent fractions.

If we assume the right side is 2/3, then:

`□ / 6 = 2/3` → multiply 2/3 by 2/2 → 4/6 → □ = 4

And the second box would be 2 (for 2/3).

But the worksheet has:
`□ / 6 = □ / 3`

This is ambiguous. However, given the pattern of other problems, and that 4/6 = 2/3, it’s very likely the intended answer is:

✔ First box: 4
✔ Second box: 2

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## ✔ Final Answers (Left to Right, Top to Bottom):

1. 1
2. 2
3. 1
4. 4
5. 1
6. 6
7. 2
8. 4 and 2

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## 🧠 Key Concept: Equivalent Fractions

Two fractions are equivalent if they represent the same amount. You can create equivalent fractions by multiplying or dividing both numerator and denominator by the same number.

Example:
1/2 = 2/4 = 3/6 = 4/8 — all same value!

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Let me know if you’d like a printable version or more practice problems! 😊