Year 5 Maths: Multiplying Fractions

Introduction to Multiplying Fractions

Hello, Year 5! Today, we’re going to learn about multiplying fractions. This is a really important skill, and once you understand it, you’ll find it quite easy. Let’s break it down step by step!

What Are Fractions?

Fractions are parts of a whole. For example, if you have a pizza cut into 4 equal slices and you eat 1 slice, you have eaten $$\frac{1}{4}$$ of the pizza.

When we multiply fractions, we’re finding a part of a part.

How to Multiply Fractions

Step 1: Multiply the Top Numbers

When we multiply two fractions, we start by multiplying the numbers on the top (numerators).

For example, if we are multiplying $$\frac{2}{3}$$ and $$\frac{4}{5}$$:

• The top numbers are 2 and 4.
• So, $$2 \times 4 = 8$$.

Step 2: Multiply the Bottom Numbers

Next, we multiply the numbers on the bottom (denominators).

• The bottom numbers are 3 and 5.
• So, $$3 \times 5 = 15$$.

Step 3: Combine Your Answers

Now, we put the top and bottom together:

$$\frac{2 \times 4}{3 \times 5} = \frac{8}{15}$$.

Key Rule

To multiply fractions:

1. Multiply the numerators together.
2. Multiply the denominators together.
3. Simplify if possible (we will learn about simplifying later).

Tips and Tricks

• Visuals Help: Drawing a picture can help you understand what’s happening when you multiply fractions.
• Practice: The more you practice, the easier it will become.
• Simplifying Fractions: Sometimes, your answer can be simplified. For example, $$\frac{8}{12}$$ can be simplified to $$\frac{2}{3}$$ by dividing both the top and bottom by 4.

Questions

Easy Level (20 Questions)

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

Medium Level (20 Questions)

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

Hard Level (20 Questions)

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

Answers and Explanations

Easy Level Answers

1. $$\frac{1}{6}$$
2. $$\frac{1}{8}$$
3. $$\frac{2}{15}$$
4. $$\frac{3}{8}$$
5. $$\frac{1}{16}$$
6. $$\frac{3}{10}$$
7. $$\frac{1}{1}$$
8. $$\frac{1}{36}$$
9. $$\frac{2}{6}$$ (or $$\frac{1}{3}$$)
10. $$\frac{1}{10}$$
11. $$\frac{3}{3}$$
12. $$\frac{4}{25}$$
13. $$\frac{2}{21}$$
14. $$\frac{1}{20}$$
15. $$\frac{2}{18}$$ (or $$\frac{1}{9}$$)
16. $$\frac{1}{18}$$
17. $$\frac{2}{32}$$ (or $$\frac{1}{16}$$)
18. $$\frac{3}{5}$$
19. $$\frac{2}{5}$$
20. $$\frac{1}{12}$$

Medium Level Answers

1. $$\frac{6}{12}$$ (or $$\frac{1}{2}$$)
2. $$\frac{6}{15}$$ (or $$\frac{2}{5}$$)
3. $$\frac{8}{48}$$ (or $$\frac{1}{6}$$)
4. $$\frac{15}{14}$$
5. $$\frac{6}{45}$$ (or $$\frac{2}{15}$$)
6. $$\frac{6}{20}$$ (or $$\frac{3}{10}$$)
7. $$\frac{3}{12}$$ (or $$\frac{1}{4}$$)
8. $$\frac{8}{15}$$
9. $$\frac{5}{32}$$
10. $$\frac{6}{12}$$ (or $$\frac{1}{2}$$)
11. $$\frac{8}{27}$$
12. $$\frac{5}{12}$$
13. $$\frac{6}{28}$$ (or $$\frac{3}{14}$$)
14. $$\frac{1}{4}$$
15. $$\frac{8}{40}$$ (or $$\frac{1}{5}$$)
16. $$\frac{6}{6}$$ (or $$1$$)
17. $$\frac{6}{48}$$ (or $$\frac{1}{8}$$)
18. $$\frac{2}{28}$$ (or $$\frac{1}{14}$$)
19. $$\frac{4}{28}$$ (or $$\frac{1}{7}$$)
20. $$\frac{6}{54}$$ (or $$\frac{1}{9}$$)

Hard Level Answers

1. $$\frac{35}{48}$$
2. $$\frac{18}{30}$$ (or $$\frac{3}{5}$$)
3. $$\frac{24}{35}$$
4. $$\frac{22}{108}$$ (or $$\frac{11}{54}$$)
5. $$\frac{15}{32}$$
6. $$\frac{52}{75}$$
7. $$\frac{30}{99}$$ (or $$\frac{10}{33}$$)
8. $$\frac{2}{9}$$
9. $$\frac{8}{30}$$ (or $$\frac{4}{15}$$)
10. $$\frac{6}{40}$$ (or $$\frac{3}{20}$$)
11. $$\frac{15}{48}$$ (or $$\frac{5}{16}$$)
12. $$\frac{28}{40}$$ (or $$\frac{7}{10}$$)
13. $$\frac{27}{77}$$
14. $$\frac{3}{6}$$ (or $$\frac{1}{2}$$)
15. $$\frac{7}{240}$$
16. $$\frac{16}{45}$$
17. $$\frac{18}{28}$$ (or $$\frac{9}{14}$$)
18. $$\frac{22}{143}$$
19. $$\frac{35}{120}$$ (or $$\frac{7}{24}$$)
20. $$\frac{24}{45}$$ (or $$\frac{8}{15}$$)

That’s all for today! Remember to practice multiplying fractions, and don’t hesitate to ask questions if you need help. Happy learning!