Let's solve each of the equivalent fraction problems shown in the image. The goal is to
fill in the missing numerator or denominator so that both sides of the equation represent the same fraction (i.e., are equivalent).
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🔹 Problem 1:
$$
\frac{4}{8} = \frac{?}{2}
$$
- $\frac{4}{8}$ simplifies to $\frac{1}{2}$.
- So, we want a fraction equal to $\frac{1}{2}$ with denominator 2.
- That’s simply: $\frac{1}{2}$.
✔ Answer: $\boxed{1}$
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🔹 Problem 2:
$$
\frac{2}{2} = \frac{?}{4}
$$
- $\frac{2}{2} = 1$
- We want a fraction equal to 1 with denominator 4 → $\frac{4}{4}$
✔ Answer: $\boxed{4}$
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🔹 Problem 3:
$$
\frac{3}{4} = \frac{?}{8}
$$
- Multiply numerator and denominator by 2:
$$
\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}
$$
✔ Answer: $\boxed{6}$
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🔹 Problem 4:
$$
\frac{2}{3} = \frac{?}{9}
$$
- Multiply numerator and denominator by 3:
$$
\frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9}
$$
✔ Answer: $\boxed{6}$
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🔹 Problem 5:
$$
\frac{1}{4} = \frac{?}{8}
$$
- Multiply numerator and denominator by 2:
$$
\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}
$$
✔ Answer: $\boxed{2}$
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🔹 Problem 6:
$$
\frac{2}{5} = \frac{?}{10}
$$
- Multiply numerator and denominator by 2:
$$
\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}
$$
✔ Answer: $\boxed{4}$
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✔ Final Answers:
1. $\frac{4}{8} = \frac{\boxed{1}}{2}$
2. $\frac{2}{2} = \frac{\boxed{4}}{4}$
3. $\frac{3}{4} = \frac{\boxed{6}}{8}$
4. $\frac{2}{3} = \frac{\boxed{6}}{9}$
5. $\frac{1}{4} = \frac{\boxed{2}}{8}$
6. $\frac{2}{5} = \frac{\boxed{4}}{10}$
---
📌 Explanation:
To find equivalent fractions, you
multiply or divide both the numerator and denominator by the same number. In this case, we multiplied to match the new denominator and found the correct numerator.
Each circle visually shows the same shaded portion, confirming the equivalence.
Let me know if you'd like a visual explanation for any!
Parent Tip: Review the logic above to help your child master the concept of fractions for 3rd grade.
