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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
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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