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Fractions Decimals Percentages Ratios

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Fractions Decimals Percentages Ratios worksheet preview

Fractions Decimals Percentages Ratios

Mathematical symbols and numbers

📊 Part 1: Fractions and Conversions

1. Find the missing values in these equivalent fractions:

a) 3/4 = ___/8 b) 2/5 = 6/___ c) ___/12 = 2/3

2. Simplify these fractions:

a) 12/16 = ___ b) 15/25 = ___ c) 18/24 = ___

3. Convert these improper fractions to mixed numbers:

a) 11/4 = ___ b) 17/5 = ___ c) 23/6 = ___

4. Convert these mixed numbers to improper fractions:

a) 2¾ = ___ b) 3⅖ = ___ c) 1⅚ = ___

5. Complete this table:
Fraction (simplified) Decimal Percentage
1/2
0.75
20%

🧮 Part 2: Calculations and Word Problems

6. Calculate these fraction operations:

a) 2/3 + 1/6 = ___

b) 5/8 - 1/4 = ___

c) 3/4 × 2/5 = ___

d) 2/3 ÷ 1/6 = ___

7. Order these numbers from smallest to largest:

0.6, 3/5, 65%, 2/3, 0.58

8. Calculate these percentages and fractions of quantities:

a) 25% of $80 = $___

b) 3/5 of 45 students = ___ students

c) 15% of 120 metres = ___ metres

9. Word Problem: Sarah spent 2/5 of her pocket money on books and 30% on snacks. If she had $50, how much money does she have left?

⚖️ Part 3: Ratios

10. Simplify these ratios:

a) 12:18 = ___ b) 15:25:10 = ___ c) 24:36 = ___

11. Ratio Problem: In a class of 28 students, the ratio of boys to girls is 3:4. How many boys and how many girls are in the class?
12. Paint Mixing Problem: To make purple paint, you need to mix red and blue in the ratio 2:3. If you use 6 litres of red paint, how much blue paint do you need? How much purple paint will you make in total?

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