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Fractions on a Number Line - Math Worksheets - Free Printable

Fractions on a Number Line - Math Worksheets

Educational worksheet: Fractions on a Number Line - Math Worksheets. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Fractions on a Number Line - Math Worksheets
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Let’s go row by row and fill in the missing fractions. We’ll use the pie chart to find the first fraction, then simplify or expand it to get the equivalent fraction.

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Row 1 (already done):
Pie: half shaded → 1/2
Equivalent: 3/6 → same as 1/2 ✔️

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Row 2:
Pie: 1 out of 3 parts shaded → 1/3
We need an equivalent fraction with denominator 12.
Multiply numerator and denominator by 4:
1 × 4 = 4
3 × 4 = 12
→ So, 4/12

✔ Answer for Row 2: Fraction = 1/3, Equivalent = 4/12

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Row 3:
Pie: 3 out of 4 parts shaded → 3/4
We need equivalent with denominator 12.
Multiply numerator and denominator by 3:
3 × 3 = 9
4 × 3 = 12
→ So, 9/12

✔ Answer for Row 3: Fraction = 3/4, Equivalent = 9/12

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Row 4:
Pie: 2 out of 8 parts shaded → 2/8
Simplify: divide numerator and denominator by 2 → 1/4
So, equivalent is 1/4

✔ Answer for Row 4: Fraction = 2/8, Equivalent = 1/4

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Row 5:
Pie: 3 out of 5 parts shaded → 3/5
We need equivalent with denominator 15.
Multiply numerator and denominator by 3:
3 × 3 = 9
5 × 3 = 15
→ So, 9/15

✔ Answer for Row 5: Fraction = 3/5, Equivalent = 9/15

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Row 6:
Pie: 3 out of 6 parts shaded → 3/6
Simplify: divide numerator and denominator by 3 → 1/2
So, equivalent is 1/2

✔ Answer for Row 6: Fraction = 3/6, Equivalent = 1/2

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Final Answer:
Row 2: 1/3 and 4/12
Row 3: 3/4 and 9/12
Row 4: 2/8 and 1/4
Row 5: 3/5 and 9/15
Row 6: 3/6 and 1/2
Parent Tip: Review the logic above to help your child master the concept of fractions on a number line worksheet 3rd grade.
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