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!