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Fractions and Decimals Conversion

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Fractions and Decimals Conversion

Fractions and Decimals Conversion

Fractions and decimals illustration

📊 Part 1: Converting Fractions to Decimals

Instructions: Convert each fraction to a decimal. Show your working in the space provided.

1. Sarah bought 3/4 of a kilogram of apples. Write this as a decimal.

3/4 = ___________ kg

2. A recipe calls for 2/5 of a litre of milk. Convert this to a decimal.

2/5 = ___________ L

3. Tom scored 7/10 on his maths test. What is this as a decimal?

7/10 = ___________

4. The probability of rain today is 3/8. Express this as a decimal.

3/8 = ___________

5. A piece of timber is 5/8 metres long. Write this measurement as a decimal.

5/8 = ___________ m

6. Emma spent 3/20 of her pocket money on lollies. Convert this to a decimal.

3/20 = ___________

💰 Part 2: Converting Decimals to Fractions

Instructions: Convert each decimal to a fraction in its simplest form. Show your working.

7. A chocolate bar costs $0.75. Write this price as a fraction of a dollar.

$0.75 = $___________

8. The temperature dropped by 0.6°C. Express this as a fraction.

0.6 = ___________°C

9. A runner completed the race in 0.25 hours. Write this time as a fraction.

0.25 = ___________ hours

10. The probability of drawing a red card is 0.5. Express this as a fraction.

0.5 = ___________

11. A pencil is 0.125 metres long. Write this length as a fraction.

0.125 = ___________ m

12. Jake saved 0.8 of his weekly allowance. Convert this to a fraction.

0.8 = ___________

🔄 Part 3: Mixed Conversions

Instructions: Convert between fractions and decimals as indicated. Choose the most appropriate form for each real-life situation.

13. Multiple Choice: Which decimal is equivalent to 1/4?

0.14

0.25

0.4

1.4

14. A sports drink bottle contains 0.375 litres. Express this as a fraction and explain which form (fraction or decimal) would be more useful when measuring ingredients for a recipe.

0.375 L = ___________ L

15. The chance of winning a prize in a school raffle is 7/50. Convert this to a decimal and explain which form is easier to understand.

7/50 = ___________

16. Fill in the missing conversions in this table:
Fraction Decimal Real-life Context
1/2 ___________ Half a pizza
___________ 0.2 One-fifth of a chocolate bar
3/4 ___________ Three-quarters of an hour
___________ 0.1 Ten cents of a dollar
17. Problem Solving: Maria is buying fabric that costs $12.50 per metre. She needs 0.6 metres for a project. Calculate the cost and express 0.6 as a fraction.

0.6 = ___________ (as a fraction)

Total cost = $___________

18. Check all the fractions that are equivalent to 0.75:

3/4

6/8

15/20

7/5

75/100

📋 Answer Sheet

Use this section to check your answers and assess your understanding.

Part 1: Converting Fractions to Decimals

1. 3/4 = 0.75 kg

2. 2/5 = 0.4 L

3. 7/10 = 0.7

4. 3/8 = 0.375

5. 5/8 = 0.625 m

6. 3/20 = 0.15

Part 2: Converting Decimals to Fractions

7. $0.75 = $3/4

8. 0.6 = 3/5°C

9. 0.25 = 1/4 hours

10. 0.5 = 1/2

11. 0.125 = 1/8 m

12. 0.8 = 4/5

Part 3: Mixed Conversions

13. 0.25 (second option)

14. 0.375 L = 3/8 L. Sample answer: Fractions might be more useful for recipes as they're easier to measure with standard measuring cups.

15. 7/50 = 0.14. Sample answer: The decimal 0.14 or 14% might be easier to understand as it shows 14 chances out of 100.

16. Table answers: 1/2 = 0.5; 0.2 = 1/5; 3/4 = 0.75; 0.1 = 1/10

17. 0.6 = 3/5; Total cost = $7.50

18. Correct answers: 3/4, 6/8, 15/20, 75/100

Self-Assessment

How confident do you feel about converting fractions to decimals?

Very confident

Somewhat confident

Need more practice

Which type of conversion do you find more challenging?

Fractions to decimals

Decimals to fractions

Both are equally challenging

Neither - I understand both well

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