Let’s solve each problem step by step. We are finding
equivalent fractions — that means we want to write the same fraction but with a different denominator (bottom number), matching the new shape shown.
---
Problem ①:
We start with
3/5. The first rectangle is divided into 5 equal parts, and 3 are shaded.
The second rectangle is divided into
10 equal parts (count them!).
To get from 5 parts to 10 parts, we multiply the denominator by
2.
So we must also multiply the numerator by
2:
→ 3 × 2 =
6
So,
3/5 = 6/10
✔ Shade 6 out of 10 parts in the second rectangle.
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Problem ②:
Start with
1/3. First rectangle has 3 parts, 1 shaded.
Second rectangle has
6 parts (count them).
From 3 to 6 → multiply by
2.
So numerator: 1 × 2 =
2
→
1/3 = 2/6
✔ Shade 2 out of 6 parts.
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Problem ③:
Start with
1/2. Circle is half shaded.
Second circle is divided into
6 equal slices.
From 2 to 6 → multiply by
3.
Numerator: 1 × 3 =
3
→
1/2 = 3/6
✔ Shade 3 out of 6 slices.
---
Problem ④:
Start with
4/12. Rectangle has 12 horizontal strips, 4 shaded at bottom.
Second rectangle has
6 strips (count them).
From 12 to 6 → divide by
2.
So numerator: 4 ÷ 2 =
2
→
4/12 = 2/6
✔ Shade 2 out of 6 strips.
*(Note: You can also think of simplifying 4/12 → both divisible by 4? No, better by 2: 4÷2=2, 12÷2=6 → yes, 2/6)*
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Problem ⑤:
Start with
2/8. Circle has 8 slices, 2 shaded.
Second circle has
4 slices (divided into quarters).
From 8 to 4 → divide by
2.
Numerator: 2 ÷ 2 =
1
→
2/8 = 1/4
✔ Shade 1 out of 4 slices.
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Now let’s double-check all answers:
① 3/5 = ?/10 → 3×2=6 →
✔ 6/10
② 1/3 = ?/6 → 1×2=2 →
✔ 2/6
③ 1/2 = ?/6 → 1×3=3 →
✔ 3/6
④ 4/12 = ?/6 → 4÷2=2 →
✔ 2/6
⑤ 2/8 = ?/4 → 2÷2=1 →
✔ 1/4
All correct!
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Final Answer:
① 6/10
② 2/6
③ 3/6
④ 2/6
⑤ 1/4
Parent Tip: Review the logic above to help your child master the concept of fraction models worksheet.
