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Fractions and Decimals Operations

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Fractions and Decimals Operations

Fractions and Decimals Operations

Fractions and decimals illustration

🔢 Part 1: Converting Between Fractions and Decimals

1. Convert these fractions to decimals:

a) 1/4 = ________

b) 3/5 = ________

c) 7/8 = ________

d) 2 1/2 = ________

2. Convert these decimals to fractions (simplify where possible):

a) 0.25 = ________

b) 0.6 = ________

c) 0.75 = ________

d) 1.5 = ________

3. Circle the correct decimal equivalent for 3/8:

0.375

0.38

0.3

0.83

➕ Part 2: Adding and Subtracting Fractions

4. Solve these addition problems. Show your working:

a) 1/4 + 1/3 = ________

b) 2/5 + 1/10 = ________

5. Solve these subtraction problems. Show your working:

a) 3/4 - 1/6 = ________

b) 5/8 - 1/4 = ________

✖️ Part 3: Multiplying Fractions

6. Calculate these multiplication problems:

a) 2/3 × 1/4 = ________

b) 3/5 × 2 = ________

c) 1 1/2 × 2/3 = ________

7. Which of these statements about multiplying fractions are correct? (Check all that apply)

When you multiply two proper fractions, the answer is smaller than both fractions

To multiply fractions, you multiply numerators together and denominators together

You need to find a common denominator before multiplying fractions

The answer should always be simplified if possible

🛒 Part 4: Real-Life Applications

8. Sarah is making a cake recipe that calls for 2 1/4 cups of flour. If she wants to make half the recipe, how much flour does she need?

Answer: ________ cups

9. At a shop, a jacket costs $80. If there's a 1/4 discount, how much money will you save? What will the final price be?

Discount amount: $________

Final price: $________

10. A water tank is 3/5 full. If the tank holds 200 litres when completely full, how many litres are currently in the tank?

Answer: ________ litres

📊 Part 5: Ordering and Comparing

11. Put these numbers in order from smallest to largest:

0.3, 1/2, 0.25, 3/8, 0.6

12. Match each fraction with its decimal equivalent:
1. 1/5
2. 3/4
3. 1/8
4. 2/5
A. 0.75
B. 0.125
C. 0.4
D. 0.2

🤔 Part 6: Problem Solving and Reasoning

13. Explain in your own words why 0.5 and 1/2 represent the same value:
14. A pizza is cut into 8 equal slices. If you eat 3 slices and your friend eats 2 slices, what fraction of the pizza is left? Express your answer as both a fraction and a decimal.

Fraction: ________

Decimal: ________

15. Challenge: If 3/4 of a number is 15, what is the whole number? Show your working.

Answer: ________

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