Let’s solve each problem step by step. We’re placing fractions on a number line from 0 to 1.
Remember:
- The whole distance from 0 to 1 is divided into equal parts based on the denominator.
- For example, if you have halves (denominator = 2), split the line into 2 equal parts.
- If you have tenths (denominator = 10), split it into 10 equal parts.
- Then count how many parts from 0 for the numerator.
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Problem 1: ½
Denominator is 2 → divide the line into 2 equal parts.
Numerator is 1 → go 1 part from 0.
So, ½ goes exactly in the middle between 0 and 1.
✔ Answer: Place a point halfway between 0 and 1.
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Problem 2: ⅔ and ⅓
Denominator is 3 → divide the line into 3 equal parts.
- ⅓ → 1 part from 0 → first mark after 0.
- ⅔ → 2 parts from 0 → second mark after 0.
✔ Answers:
Place ⅓ at the first third of the line.
Place ⅔ at the second third of the line.
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Problem 3: ³⁄₁₀, ⁹⁄₁₀, ¹⁄₁₀, ⁷⁄₁₀
Denominator is 10 → divide the line into 10 equal parts.
Count from 0:
- ¹⁄₁₀ → 1st mark
- ³⁄₁₀ → 3rd mark
- ⁷⁄₁₀ → 7th mark
- ⁹⁄₁₀ → 9th mark
✔ Answers:
Place them at positions 1, 3, 7, and 9 out of 10 equal segments.
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Problem 4: ⁴⁄, ²⁄, ¹⁄, ³⁄
Denominator is 5 → divide the line into 5 equal parts.
Count from 0:
- ¹⁄₅ → 1st mark
- ²⁄₅ → 2nd mark
- ³⁄₅ → 3rd mark
- ⁴⁄ → 4th mark
✔ Answers:
Place them at positions 1, 2, 3, and 4 out of 5 equal segments.
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Problem 5: ½, ³⁄₈, ¾, ⁷⁄
Different denominators! Let’s convert all to eighths so we can compare easily.
- ½ = ⁴⁄₈
- ³⁄₈ stays as is
- ¾ = ⁶⁄
- ⁷⁄₈ stays as is
Now order them:
³⁄₈, ⁄₈ (which is ½), ⁶⁄₈ (which is ¾), ⁷⁄₈
Divide the line into 8 equal parts.
Place points at:
- ³⁄₈ → 3rd mark
- ½ → 4th mark
- ¾ → 6th mark
- ⁷⁄₈ → 7th mark
✔ Answers:
Place ³⁄₈ at 3/8, ½ at 4/8, ¾ at 6/8, ⁷⁄₈ at 7/8.
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Problem 6: ¾, ¼, ½
Convert to fourths to make it easy:
- ¼ → 1st mark out of 4
- ½ = ²⁄₄ → 2nd mark
- ¾ → 3rd mark
Divide line into 4 equal parts.
✔ Answers:
Place ¼ at 1st mark, ½ at 2nd mark, ¾ at 3rd mark.
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Final Answer:
1. Place ½ halfway between 0 and 1.
2. Place ⅓ at the first third, ⅔ at the second third.
3. Place ¹⁄₁₀ at 1st tenth, ³⁄₁₀ at 3rd, ⁷⁄₁₀ at 7th, ⁹⁄₁₀ at 9th.
4. Place ¹⁄₅ at 1st fifth, ²⁄₅ at 2nd, ³⁄₅ at 3rd, ⁴⁄₅ at 4th.
5. Place ³⁄₈ at 3rd eighth, ½ at 4th eighth, ¾ at 6th eighth, ⁷⁄₈ at 7th eighth.
6. Place ¼ at 1st quarter, ½ at 2nd quarter, ¾ at 3rd quarter.
Parent Tip: Review the logic above to help your child master the concept of fraction on a number line worksheet.
