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Fractions to Decimals Introduction

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Fractions to Decimals Introduction

Fractions to Decimals Introduction

Fractions and decimals illustration

🔗 Part 1: Understanding the Connection

1. Look at these fraction and decimal pairs. Circle the ones that are equal:

1/2 and 0.5

1/4 and 0.25

3/4 and 0.34

1/10 and 0.1

2/5 and 0.4

2. What do you notice about fractions and decimals? Write your observations:

📖 Part 2: Reading and Writing Decimals

3. Write these decimals in words:

a) 0.3 = ________________________

b) 0.75 = _______________________

c) 0.125 = ______________________

d) 0.06 = _______________________

4. Write these words as decimals:

a) Seven tenths = _______________

b) Four hundredths = ____________

c) Fifty-six hundredths = ________

d) Nine thousandths = ___________

5. Circle the largest decimal in each group:

Group A:

0.4
0.04
0.004

Group B:

0.25
0.3
0.125

Group C:

0.8
0.75
0.9

🔄 Part 3: Converting Fractions to Decimals

6. Convert these fractions to decimals. Show your working:

a) 3/10 = _______

b) 7/100 = _______

c) 1/4 = _______

d) 3/5 = _______

7. Challenge: Convert these more difficult fractions to decimals:

a) 1/8 = _______

b) 3/8 = _______

🔄 Part 4: Converting Decimals to Fractions

8. Convert these decimals to fractions in their simplest form:

a) 0.2 = _______

b) 0.75 = _______

c) 0.6 = _______

d) 0.125 = _______

9. Match each fraction with its decimal equivalent:
1. 1/5
2. 2/3
3. 7/10
4. 1/3
5. 9/20
A. 0.7
B. 0.45
C. 0.2
D. 0.333...
E. 0.666...

🌟 Part 5: Real-World Applications

10. Sarah measured her height as 1.65 metres. Express this as a mixed number in metres and centimetres:
11. A recipe calls for 0.75 litres of milk. What fraction of a litre is this?
12. In a cricket match, a batsman scored 0.6 of the team's total runs. What fraction of the total runs did they score?
13. Reflection: Explain in your own words how fractions and decimals are related. Give an example:

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