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Fractions Decimals Percentages Conversion

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Fractions Decimals Percentages Conversion

Fractions Decimals Percentages Conversion

Fractions, decimals and percentages illustration

🔢 Part 1: Converting Between Forms

1. Convert these fractions to decimals and percentages:

a) 1/2 = ________ (decimal) = ________% (percentage)

b) 3/4 = ________ (decimal) = ________% (percentage)

c) 1/5 = ________ (decimal) = ________% (percentage)

d) 2/5 = ________ (decimal) = ________% (percentage)

2. Convert these decimals to fractions and percentages:

a) 0.25 = ________ (fraction) = ________% (percentage)

b) 0.6 = ________ (fraction) = ________% (percentage)

c) 0.75 = ________ (fraction) = ________% (percentage)

d) 0.8 = ________ (fraction) = ________% (percentage)

3. Convert these percentages to fractions and decimals:

a) 50% = ________ (fraction) = ________ (decimal)

b) 20% = ________ (fraction) = ________ (decimal)

c) 75% = ________ (fraction) = ________ (decimal)

d) 10% = ________ (fraction) = ________ (decimal)

🛍️ Part 2: Calculating Percentage Discounts

4. Calculate the discount amount and final price for each item:

a) Toy car originally $40, 15% discount

Discount amount: $________ Final price: $________

b) Book originally $25, 30% discount

Discount amount: $________ Final price: $________

c) Sports shoes originally $80, 25% discount

Discount amount: $________ Final price: $________

5. Circle the best strategy for calculating 30% of $60:

Calculate 10% first, then multiply by 3

Convert to 0.3 and multiply

Both strategies work equally well

Use a calculator only

🎯 Part 3: Estimation and Checking

6. Estimate first, then calculate the exact answer:

a) 48% of 120

My estimate: ________ (explain your thinking: ________________________)

Exact answer: ________

b) 75% of $160

My estimate: $________ (explain your thinking: ________________________)

Exact answer: $________

7. Check all estimation strategies that would be helpful:

Round numbers to make them easier to work with

Use benchmark percentages like 25%, 50%, 75%

Calculate 10% first as a reference point

Always use exact calculations without estimating

🏪 Part 4: Real-World Shopping Problem

8. Your class has a $50 budget for snacks. Calculate the final prices with discounts:

Item List:

• Crackers: $8.00 (20% off)

• Fruit juice: $12.00 (15% off)

• Chocolate bars: $15.00 (25% off)

• Chips: $6.00 (10% off)

• Cookies: $10.00 (30% off)

Final prices after discounts:

Crackers: $________ Fruit juice: $________ Chocolate bars: $________

Chips: $________ Cookies: $________

9. Which combination of items can you buy within the $50 budget?
10. Explain your strategy for solving this problem:

🔍 Part 5: Matching Equivalent Values

11. Match each fraction with its equivalent decimal and percentage:
1. 1/4
2. 3/5
3. 1/8
4. 7/10
A. 0.7 and 70%
B. 0.25 and 25%
C. 0.6 and 60%
D. 0.125 and 12.5%
12. Which of these represents the largest value?

3/4

0.8

65%

7/10

💭 Part 6: Reflection and Problem Solving

13. Explain how you would teach a younger student to convert 2/5 to a percentage:
14. A shop increases prices by 15% and then offers a 15% discount. Is the final price the same as the original? Explain your reasoning:
15. Draw a visual representation (grid, circle, or number line) to show 3/8:

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