Year 6 Maths: Finding a Fraction of an Amount: One Part of a Whole

Introduction

Hello, Year 6! Today, we’re going to learn how to find a fraction of an amount. This is a very important skill that you can use in many everyday situations, like cooking, shopping, and sharing things with friends.

What is a Fraction?

A fraction is a way to show a part of a whole. For example, if you have a pizza and you cut it into 4 equal slices, one slice is represented as the fraction $$\frac{1}{4}$$ . This means you have one part out of four equal parts.

Finding a Fraction of an Amount

When we want to find a fraction of an amount, we use these simple steps:

1. Identify the whole amount. This is the total number you are starting with.
2. Identify the fraction you need. This tells you how many parts you will take from the whole.
3. Divide the whole amount by the denominator of the fraction. The denominator is the bottom number of the fraction.
4. Multiply the result by the numerator of the fraction. The numerator is the top number of the fraction.

Example 1

Let’s say you want to find $$\frac{1}{4}$$ of 20.

1. Whole amount: 20
2. Fraction: $$\frac{1}{4}$$
3. Divide 20 by 4 (the denominator): $$20 \div 4 = 5$$
4. Multiply by 1 (the numerator): $$5 \times 1 = 5$$

So, $$\frac{1}{4}$$ of 20 is 5.

Example 2

Now let’s find $$\frac{2}{3}$$ of 30.

1. Whole amount: 30
2. Fraction: $$\frac{2}{3}$$
3. Divide 30 by 3: $$30 \div 3 = 10$$
4. Multiply by 2: $$10 \times 2 = 20$$

So, $$\frac{2}{3}$$ of 30 is 20.

Key Rules

1. Always start with the whole amount.
2. Remember the order: Divide first, then multiply.
3. Make sure to simplify your fractions when possible.

Tips and Tricks

• Visual Aids: Drawing pictures can help you understand fractions better.
• Use Objects: If you have coins or blocks, use them to see the fractions physically.
• Practice Makes Perfect: The more you practice, the easier it will become!

Questions

Easy Level (20 Questions)

1. What is $$\frac{1}{2}$$ of 10?
2. What is $$\frac{1}{3}$$ of 9?
3. What is $$\frac{1}{4}$$ of 16?
4. What is $$\frac{1}{5}$$ of 25?
5. What is $$\frac{1}{2}$$ of 6?
6. What is $$\frac{3}{4}$$ of 8?
7. What is $$\frac{1}{3}$$ of 12?
8. What is $$\frac{1}{6}$$ of 18?
9. What is $$\frac{2}{5}$$ of 20?
10. What is $$\frac{1}{2}$$ of 14?
11. What is $$\frac{1}{4}$$ of 12?
12. What is $$\frac{1}{8}$$ of 8?
13. What is $$\frac{1}{10}$$ of 50?
14. What is $$\frac{3}{5}$$ of 15?
15. What is $$\frac{1}{2}$$ of 22?
16. What is $$\frac{2}{3}$$ of 30?
17. What is $$\frac{1}{2}$$ of 40?
18. What is $$\frac{1}{3}$$ of 21?
19. What is $$\frac{1}{4}$$ of 28?
20. What is $$\frac{3}{6}$$ of 18?

Medium Level (20 Questions)

1. What is $$\frac{2}{4}$$ of 32?
2. What is $$\frac{1}{5}$$ of 45?
3. What is $$\frac{3}{8}$$ of 64?
4. What is $$\frac{5}{6}$$ of 36?
5. What is $$\frac{2}{5}$$ of 35?
6. What is $$\frac{3}{4}$$ of 40?
7. What is $$\frac{2}{3}$$ of 27?
8. What is $$\frac{4}{5}$$ of 50?
9. What is $$\frac{5}{10}$$ of 80?
10. What is $$\frac{3}{7}$$ of 28?
11. What is $$\frac{2}{9}$$ of 81?
12. What is $$\frac{4}{8}$$ of 16?
13. What is $$\frac{3}{5}$$ of 25?
14. What is $$\frac{1}{3}$$ of 99?
15. What is $$\frac{5}{8}$$ of 64?
16. What is $$\frac{2}{7}$$ of 35?
17. What is $$\frac{6}{9}$$ of 81?
18. What is $$\frac{3}{5}$$ of 100?
19. What is $$\frac{1}{2}$$ of 54?
20. What is $$\frac{2}{3}$$ of 81?

Hard Level (20 Questions)

1. What is $$\frac{7}{10}$$ of 70?
2. What is $$\frac{11}{12}$$ of 144?
3. What is $$\frac{5}{9}$$ of 63?
4. What is $$\frac{4}{11}$$ of 121?
5. What is $$\frac{6}{13}$$ of 78?
6. What is $$\frac{2}{15}$$ of 150?
7. What is $$\frac{9}{10}$$ of 90?
8. What is $$\frac{3}{8}$$ of 64?
9. What is $$\frac{7}{8}$$ of 32?
10. What is $$\frac{4}{15}$$ of 60?
11. What is $$\frac{8}{9}$$ of 81?
12. What is $$\frac{5}{7}$$ of 77?
13. What is $$\frac{3}{4}$$ of 100?
14. What is $$\frac{2}{5}$$ of 125?
15. What is $$\frac{7}{12}$$ of 72?
16. What is $$\frac{3}{10}$$ of 200?
17. What is $$\frac{4}{5}$$ of 90?
18. What is $$\frac{1}{6}$$ of 120?
19. What is $$\frac{5}{8}$$ of 64?
20. What is $$\frac{8}{11}$$ of 121?

Answers

Easy Level Answers

1. 5
2. 3
3. 4
4. 5
5. 3
6. 6
7. 4
8. 3
9. 8
10. 7
11. 3
12. 1
13. 5
14. 9
15. 11
16. 20
17. 20
18. 7
19. 7
20. 9

Medium Level Answers

1. 16
2. 9
3. 24
4. 30
5. 14
6. 30
7. 18
8. 40
9. 40
10. 12
11. 18
12. 8
13. 15
14. 33
15. 40
16. 10
17. 54
18. 60
19. 27
20. 54

Hard Level Answers

1. 49
2. 132
3. 35
4. 44
5. 36
6. 20
7. 81
8. 24
9. 28
10. 16
11. 72
12. 55
13. 75
14. 50
15. 48
16. 60
17. 72
18. 20
19. 40
20. 88

Conclusion

Great job today, Year 6! Remember, finding a fraction of an amount is a useful skill. Keep practicing, and soon you’ll be a fraction expert! If you have any questions, feel free to ask.