Hello Year 6! Today, we’re going to learn about multiplying fractions. This is an important skill in maths, and once you understand it, you’ll find it easy to work with fractions!

What is a Fraction?

A fraction shows a part of a whole. For example, if you have a pizza cut into 4 equal slices and you take 1 slice, you have eaten \frac{1}{4} of the pizza.

How to Multiply Fractions

When we multiply fractions, we follow a simple rule:

Step 1: Multiply the Top Numbers

The top number of a fraction is called the numerator. To multiply two fractions, first, multiply the numerators together.

Step 2: Multiply the Bottom Numbers

The bottom number of a fraction is called the denominator. Next, multiply the denominators together.

Step 3: Simplify the Fraction

Sometimes, you can make the fraction simpler. If the numerator and denominator have common factors, divide them by the same number.

Example of Multiplying Fractions

Let’s multiply two fractions: \frac{2}{3} and \frac{3}{4}.

  1. Multiply the Numerators:2 \times 3 = 6
  2. Multiply the Denominators:3 \times 4 = 12
  3. Write the New Fraction:So, \frac{2}{3} \times \frac{3}{4} = \frac{6}{12}.
  4. Simplify the Fraction:\frac{6}{12} can be simplified to \frac{1}{2} because both 6 and 12 can be divided by 6.

So, \frac{2}{3} \times \frac{3}{4} = \frac{1}{2}.

Key Rules to Remember

  1. Multiply the Numerators: Always start with the top numbers.
  2. Multiply the Denominators: Then do the bottom numbers.
  3. Simplify if Possible: Always check if the fraction can be made simpler.

Tips and Tricks

  • Visuals Help! Drawing diagrams or using fraction bars can help you see how fractions work.
  • Practice Makes Perfect! The more you practice, the easier it will become.
  • Remember to Simplify: Always look for ways to simplify your answer.

Questions for Practice

Easy Level (20 Questions)

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

Medium Level (20 Questions)

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

Hard Level (20 Questions)

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

Answers and Explanations

Easy Level Answers

  1. \frac{1}{4}
  2. \frac{1}{12}
  3. \frac{2}{25}
  4. \frac{3}{8}
  5. \frac{2}{9}
  6. \frac{3}{25}
  7. \frac{3}{8}
  8. \frac{1}{18}
  9. \frac{1}{7}
  10. \frac{4}{25}
  11. \frac{1}{16}
  12. \frac{3}{25}
  13. \frac{1}{6}
  14. \frac{1}{9}
  15. \frac{5}{32}
  16. \frac{2}{27}
  17. \frac{3}{25}
  18. \frac{1}{20}
  19. \frac{4}{27}
  20. \frac{1}{1}

Medium Level Answers

  1. \frac{2}{4} = \frac{1}{2}
  2. \frac{5}{12}
  3. \frac{3}{20}
  4. \frac{12}{35}
  5. \frac{3}{16}
  6. \frac{8}{15}
  7. \frac{6}{18} = \frac{1}{3}
  8. \frac{5}{28}
  9. \frac{1}{6}
  10. \frac{5}{32}
  11. \frac{6}{35}
  12. \frac{5}{54}
  13. \frac{1}{24}
  14. \frac{12}{50} = \frac{6}{25}
  15. \frac{5}{12}
  16. \frac{4}{24} = \frac{1}{6}
  17. \frac{10}{99} = \frac{10}{99}
  18. \frac{2}{18} = \frac{1}{9}
  19. \frac{14}{40} = \frac{7}{20}
  20. \frac{9}{20}

Hard Level Answers

  1. \frac{2}{15}
  2. \frac{21}{80}
  3. \frac{10}{72} = \frac{5}{36}
  4. \frac{6}{63} = \frac{2}{21}
  5. \frac{1}{10}
  6. \frac{24}{75} = \frac{8}{25}
  7. \frac{10}{88} = \frac{5}{44}
  8. \frac{42}{117} = \frac{14}{39}
  9. \frac{8}{15}
  10. \frac{1}{16}
  11. \frac{35}{48}
  12. \frac{2}{10} = \frac{1}{5}
  13. \frac{3}{30} = \frac{1}{10}
  14. \frac{20}{42} = \frac{10}{21}
  15. \frac{3}{48} = \frac{1}{16}
  16. \frac{35}{88}
  17. \frac{12}{21} = \frac{4}{7}
  18. \frac{4}{45}
  19. \frac{15}{16}
  20. \frac{6}{20} = \frac{3}{10}

Now you have everything you need to understand how to multiply fractions! Keep practicing, and soon you’ll be a fraction master!