Year 5 Maths: Writing Fractions as Percentages

Introduction

Hello, Year 5! Today, we’re going to learn about writing fractions as percentages. This is an important skill that will help you understand numbers better in everyday life. Let’s break it down step by step!

What is a Fraction?

A fraction shows how many parts of a whole we have. For example, if we have a pizza cut into 4 equal slices and we eat 1 slice, we can say we have eaten $$\frac{1}{4}$$ of the pizza.

What is a Percentage?

A percentage is a way to express a number as a part of 100. It tells us how much out of 100 something is. For example, if you scored 25 out of 100 on a test, we can say you scored 25%.

How to Write Fractions as Percentages

To convert a fraction into a percentage, follow these simple steps:

1. Divide the top number (numerator) by the bottom number (denominator).
2. Multiply the result by 100.

Example

Let’s take the fraction $$\frac{3}{4}$$ .

1. Divide 3 by 4: $$3 \div 4 = 0.75$$
2. Multiply by 100: $$0.75 \times 100 = 75$$

So, $$\frac{3}{4}$$ as a percentage is 75%.

Key Rules

1. Always divide the numerator by the denominator.
2. Remember to multiply by 100 to get the percentage.
3. You can use a calculator if you find it easier!

Tips and Tricks

• Think of percentages as parts of 100. If you know that 50% means half, you can easily connect it to fractions like $$\frac{1}{2}$$ .
• Use fraction to percentage charts to help you remember common fractions and their percentage equivalents.
• Practice with real-life examples, like finding out what percentage of your friends like a certain movie.

Practice Questions

Easy Level (1-20)

1. Write $$\frac{1}{2}$$ as a percentage.
2. Write $$\frac{1}{4}$$ as a percentage.
3. Write $$\frac{3}{10}$$ as a percentage.
4. Write $$\frac{5}{5}$$ as a percentage.
5. Write $$\frac{2}{5}$$ as a percentage.
6. Write $$\frac{1}{8}$$ as a percentage.
7. Write $$\frac{3}{4}$$ as a percentage.
8. Write $$\frac{1}{3}$$ as a percentage.
9. Write $$\frac{2}{10}$$ as a percentage.
10. Write $$\frac{0}{5}$$ as a percentage.
11. Write $$\frac{4}{4}$$ as a percentage.
12. Write $$\frac{2}{8}$$ as a percentage.
13. Write $$\frac{1}{5}$$ as a percentage.
14. Write $$\frac{3}{5}$$ as a percentage.
15. Write $$\frac{5}{10}$$ as a percentage.
16. Write $$\frac{3}{8}$$ as a percentage.
17. Write $$\frac{2}{2}$$ as a percentage.
18. Write $$\frac{1}{6}$$ as a percentage.
19. Write $$\frac{4}{10}$$ as a percentage.
20. Write $$\frac{0}{10}$$ as a percentage.

Medium Level (21-40)

21. Write $$\frac{7}{8}$$ as a percentage.
22. Write $$\frac{5}{6}$$ as a percentage.
23. Write $$\frac{2}{3}$$ as a percentage.
24. Write $$\frac{9}{10}$$ as a percentage.
25. Write $$\frac{4}{12}$$ as a percentage.
26. Write $$\frac{5}{4}$$ as a percentage.
27. Write $$\frac{6}{10}$$ as a percentage.
28. Write $$\frac{8}{5}$$ as a percentage.
29. Write $$\frac{11}{20}$$ as a percentage.
30. Write $$\frac{15}{30}$$ as a percentage.
31. Write $$\frac{12}{15}$$ as a percentage.
32. Write $$\frac{3}{2}$$ as a percentage.
33. Write $$\frac{1}{12}$$ as a percentage.
34. Write $$\frac{10}{25}$$ as a percentage.
35. Write $$\frac{14}{20}$$ as a percentage.
36. Write $$\frac{5}{12}$$ as a percentage.
37. Write $$\frac{13}{25}$$ as a percentage.
38. Write $$\frac{7}{10}$$ as a percentage.
39. Write $$\frac{11}{30}$$ as a percentage.
40. Write $$\frac{9}{12}$$ as a percentage.

Hard Level (41-60)

41. Write $$\frac{17}{20}$$ as a percentage.
42. Write $$\frac{3}{7}$$ as a percentage.
43. Write $$\frac{19}{30}$$ as a percentage.
44. Write $$\frac{25}{50}$$ as a percentage.
45. Write $$\frac{13}{50}$$ as a percentage.
46. Write $$\frac{8}{9}$$ as a percentage.
47. Write $$\frac{16}{45}$$ as a percentage.
48. Write $$\frac{14}{35}$$ as a percentage.
49. Write $$\frac{5}{18}$$ as a percentage.
50. Write $$\frac{24}{60}$$ as a percentage.
51. Write $$\frac{17}{25}$$ as a percentage.
52. Write $$\frac{22}{33}$$ as a percentage.
53. Write $$\frac{28}{40}$$ as a percentage.
54. Write $$\frac{18}{42}$$ as a percentage.
55. Write $$\frac{21}{28}$$ as a percentage.
56. Write $$\frac{10}{40}$$ as a percentage.
57. Write $$\frac{15}{22}$$ as a percentage.
58. Write $$\frac{23}{29}$$ as a percentage.
59. Write $$\frac{26}{39}$$ as a percentage.
60. Write $$\frac{4}{16}$$ as a percentage.

Answers

Easy Level Answers

1. 50%
2. 25%
3. 30%
4. 100%
5. 40%
6. 12.5%
7. 75%
8. 33.33%
9. 20%
10. 0%
11. 100%
12. 25%
13. 20%
14. 60%
15. 50%
16. 37.5%
17. 100%
18. 16.67%
19. 40%
20. 0%

Medium Level Answers

21. 87.5%
22. 83.33%
23. 66.67%
24. 90%
25. 33.33%
26. 125%
27. 60%
28. 160%
29. 55%
30. 50%
31. 80%
32. 150%
33. 8.33%
34. 40%
35. 70%
36. 41.67%
37. 52%
38. 70%
39. 36.67%
40. 75%

Hard Level Answers

41. 85%
42. 42.86%
43. 63.33%
44. 50%
45. 26%
46. 88.89%
47. 35.56%
48. 40%
49. 27.78%
50. 40%
51. 68%
52. 66.67%
53. 70%
54. 42.86%
55. 75%
56. 25%
57. 68.18%
58. 79.31%
59. 66.67%
60. 25%

Conclusion

Great job, Year 5! Now you know how to write fractions as percentages! Keep practicing, and soon it will become easy for you. Remember to ask questions if you’re unsure about anything. Happy learning!