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Fractions and Equivalents

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Fractions and Equivalents

Fractions and Equivalents

Fraction circles and number line illustration

🔢 Part 1: Understanding Fractions

1. Circle the correct answer for each fraction part:

In the fraction 3/8, what is the numerator?

3

8

11

In the fraction 5/6, what is the denominator?

5

6

11

2. Fill in the blanks using the correct mathematical vocabulary:

The _____________ tells us how many equal parts the whole is divided into.

The _____________ tells us how many parts we are talking about.

When two fractions represent the same amount, they are called _____________ fractions.

📏 Part 2: Equivalent Fractions

3. Match each fraction with its equivalent fraction:
1. 1/2
2. 1/4
3. 3/4
4. 2/3
A. 6/8
B. 4/6
C. 4/8
D. 2/8
4. Check all the fractions that are equivalent to 1/2:

2/4

3/8

4/8

5/10

3/6

➕ Part 3: Adding and Subtracting Fractions

5. Solve these fraction problems. Show your working:

a) 2/8 + 3/8 = _______

b) 5/6 - 2/6 = _______

c) 1/4 + 1/8 = _______

Hint: Change 1/4 to eighths first!

6. Circle the correct answer:

What is 3/8 + 2/8?

5/8

5/16

6/8

📊 Part 4: Fractions, Decimals and Percentages

7. Match each fraction with its decimal equivalent:
1. 1/4
2. 1/2
3. 3/4
4. 1/5
A. 0.5
B. 0.75
C. 0.25
D. 0.2
8. Fill in the missing information:

1/4 = 0.25 = _____%

1/2 = _____ = 50%

3/4 = 0.75 = _____%

🎨 Part 5: Visual Representations

9. Draw a number line from 0 to 1 and mark these fractions: 1/4, 1/2, 3/4
10. Draw and shade shapes to show these fractions:

a) Draw a circle and shade 3/8 of it:

b) Draw a rectangle divided into sixths and shade 4/6:

🧠 Part 6: Problem Solving

11. Sarah ate 2/8 of a pizza and Tom ate 3/8 of the same pizza. How much pizza did they eat altogether?
12. Explain in your own words what it means for two fractions to be equivalent:
13. Challenge: Put these fractions in order from smallest to largest:

3/8, 1/2, 1/4, 7/8, 5/8

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