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Fractions Decimals Percentages Conversion

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Fractions Decimals Percentages Conversion

Mathematical conversion symbols

📊 Part 1: Basic Conversions

1. Convert these fractions to decimals:

a) 1/2 = _______

b) 3/4 = _______

c) 1/5 = _______

d) 7/10 = _______

2. Convert these decimals to percentages:

a) 0.25 = _______%

b) 0.6 = _______%

c) 0.85 = _______%

d) 0.03 = _______%

3. Convert these percentages to fractions (simplify where possible):

a) 50% = _______

b) 20% = _______

c) 75% = _______

d) 30% = _______

4. Circle the equivalent values in each group:

Group A:

0.5
1/2
40%
50%

Group B:

3/4
0.75
70%
75%

🛍️ Part 2: Real-Life Applications

5. At the Palmerston North farmers market, Sarah bought apples for $8.00. She received a 25% discount. How much money did she save?
6. In a rugby match, the Manawatu team successfully completed 18 out of 24 tackles. What percentage of tackles were successful?
7. A recipe calls for 0.75 litres of milk. Express this as:

a) A fraction: _______

b) A percentage of 1 litre: _______%

8. Choose the best estimate for each situation:

About what fraction of students in NZ play rugby?

1/10
1/3
3/4

What percentage of a day is 6 hours?

15%
25%
40%

🧠 Part 3: Challenge Questions

9. Extension: Convert 5/6 to a decimal (round to 3 decimal places) and then to a percentage.
10. A school has 240 students. If 2/3 are in Years 7-8, how many students is this? Express your answer as a decimal and percentage of the total school.
11. Explain in your own words why 0.5, 1/2, and 50% all represent the same amount:

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