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Number Line Fraction Conversions

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Number Line Fraction Conversions

Number Line Fraction Conversions

Number line with fractions illustration

📏 Part 1: Reading Number Lines

1. Look at the number line below. What fraction is marked at point A?

Number line from 0 to 3, divided into thirds. Point A is at 2⅓

2. Circle the correct mixed number for the improper fraction 11/4:

3. Which improper fraction equals 1⅗?

6/5

8/5

7/5

5/8

🔄 Part 2: Converting Fractions

4. Convert these mixed numbers to improper fractions. Show your working:

a) 2⅓ = _______

b) 1¾ = _______

c) 3⅖ = _______

5. Convert these improper fractions to mixed numbers. Show your working:

a) 9/4 = _______

b) 14/5 = _______

c) 17/6 = _______

📐 Part 3: Drawing on Number Lines

6. Draw a number line from 0 to 3. Mark and label these fractions:

Fractions to plot: ½, 1¼, 2⅓, 8/3

7. Draw a number line from 0 to 4 divided into fifths. Plot these points:

Points to plot: 1⅖, 11/5, 3⅕

🎯 Part 4: Problem Solving

8. Match each mixed number with its equivalent improper fraction:
1. 2⅔
2. 1⅜
3. 3¼
4. 2⅖
A. 11/8
B. 13/4
C. 8/3
D. 12/5
9. Sarah says that 2¾ is the same as 11/4. Is she correct? Explain your answer using a number line:
10. Fill in the missing numbers:

a) 1⅔ = ___/3

b) ___/4 = 2¼

c) 3⅖ = ___/___

d) 19/6 = ___⅙

11. Check all the fractions that are greater than 2:

7/4

2⅓

15/8

1⅞

11/5

💭 Part 5: Reflection

12. Explain in your own words how to convert a mixed number to an improper fraction:
13. How does using a number line help you understand fractions better?

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