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Comparing and Ordering Fractions

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Comparing and Ordering Fractions

Comparing and Ordering Fractions

Fraction comparison illustration

🔢 Part 1: Comparing Fractions

1. Circle the larger fraction in each pair:

a)

1/3 or
1/4

b)

2/5 or
3/8

c)

5/6 or
7/8

d)

3/10 or
2/5

2. Use the symbols <, >, or = to compare these fractions:

a) 1/2 _____ 3/6

b) 2/3 _____ 5/8

c) 4/5 _____ 7/10

d) 3/4 _____ 9/12

3. Show your working for comparing 3/5 and 2/3:

📊 Part 2: Ordering Fractions

4. Order these fractions from smallest to largest:

a) 1/4, 1/2, 1/8, 1/3

Answer: _______, _______, _______, _______

b) 3/4, 5/8, 2/3, 7/12

Answer: _______, _______, _______, _______

5. Place these fractions on the number line by writing them in the correct positions:

Fractions to place: 1/4, 1/2, 3/4, 1/8, 5/8

0 __________________|__________________|__________________1

6. Show your working for ordering 2/5, 3/8, and 1/2:

🔄 Part 3: Equivalent Fractions

7. Check all the fractions that are equivalent to 1/2:

2/4

3/5

4/8

5/10

6/12

50/100

8. Match each fraction with its equivalent:
1. 2/3
2. 3/4
3. 4/5
4. 1/4
A. 25/100
B. 8/10
C. 6/8
D. 8/12
9. Fill in the missing numbers to make equivalent fractions:

a) 1/3 = ____/6 = ____/12

b) 2/5 = 4/____ = ____/100

c) 3/8 = ____/16 = 9/____

✂️ Part 4: Simplifying Fractions

10. Write these fractions in their simplest form:

a) 6/8 = ________

b) 10/15 = ________

c) 12/18 = ________

d) 20/25 = ________

e) 14/21 = ________

f) 16/24 = ________

11. Show your working to simplify 18/30:
12. Circle the fractions that are already in their simplest form:

3/7

4/6

5/8

9/12

7/10

15/20

🍕 Part 5: Real-World Problems

13. Sarah ate 3/8 of a pizza and Tom ate 2/5 of the same pizza. Who ate more? Show your working:
14. A recipe calls for 2/3 cup of flour. Emma has measured 4/6 cup. Does she have the right amount? Explain:
15. Order these measurements from shortest to longest:

3/4 metre, 5/8 metre, 7/10 metre, 2/3 metre

Answer: _______, _______, _______, _______

16. A chocolate bar is divided into 12 pieces. If you eat 8 pieces, what fraction of the chocolate bar did you eat? Write your answer in simplest form:

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