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:
- Multiply the numerators together.
- Multiply the denominators together.
- 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)
- \frac{1}{2} \times \frac{1}{3}
- \frac{1}{4} \times \frac{1}{2}
- \frac{2}{3} \times \frac{1}{5}
- \frac{3}{4} \times \frac{1}{2}
- \frac{1}{8} \times \frac{1}{2}
- \frac{1}{2} \times \frac{3}{5}
- \frac{2}{2} \times \frac{3}{3}
- \frac{1}{6} \times \frac{1}{6}
- \frac{1}{3} \times \frac{2}{2}
- \frac{1}{5} \times \frac{2}{4}
- \frac{3}{3} \times \frac{1}{1}
- \frac{4}{5} \times \frac{1}{5}
- \frac{1}{7} \times \frac{2}{3}
- \frac{1}{10} \times \frac{1}{2}
- \frac{2}{6} \times \frac{1}{3}
- \frac{1}{9} \times \frac{1}{2}
- \frac{2}{8} \times \frac{1}{4}
- \frac{3}{5} \times \frac{1}{1}
- \frac{1}{1} \times \frac{2}{5}
- \frac{1}{3} \times \frac{1}{4}
Medium Level (20 Questions)
- \frac{2}{3} \times \frac{3}{4}
- \frac{3}{5} \times \frac{2}{3}
- \frac{4}{6} \times \frac{2}{8}
- \frac{5}{7} \times \frac{3}{2}
- \frac{2}{5} \times \frac{3}{9}
- \frac{3}{4} \times \frac{2}{5}
- \frac{1}{2} \times \frac{3}{6}
- \frac{2}{3} \times \frac{4}{5}
- \frac{5}{8} \times \frac{1}{4}
- \frac{3}{6} \times \frac{2}{2}
- \frac{4}{9} \times \frac{2}{3}
- \frac{1}{2} \times \frac{5}{6}
- \frac{2}{7} \times \frac{3}{4}
- \frac{5}{6} \times \frac{3}{5}
- \frac{4}{8} \times \frac{2}{5}
- \frac{3}{2} \times \frac{2}{3}
- \frac{5}{5} \times \frac{3}{1}
- \frac{2}{6} \times \frac{3}{8}
- \frac{1}{4} \times \frac{4}{7}
- \frac{2}{9} \times \frac{3}{6}
Hard Level (20 Questions)
- \frac{7}{8} \times \frac{5}{6}
- \frac{9}{10} \times \frac{2}{3}
- \frac{4}{7} \times \frac{6}{5}
- \frac{11}{12} \times \frac{2}{9}
- \frac{3}{4} \times \frac{5}{8}
- \frac{13}{15} \times \frac{4}{5}
- \frac{6}{11} \times \frac{5}{9}
- \frac{7}{9} \times \frac{2}{7}
- \frac{8}{10} \times \frac{1}{3}
- \frac{3}{8} \times \frac{2}{5}
- \frac{5}{12} \times \frac{3}{4}
- \frac{4}{5} \times \frac{7}{8}
- \frac{9}{11} \times \frac{3}{7}
- \frac{5}{6} \times \frac{2}{5}
- \frac{7}{8} \times \frac{1}{3}
- \frac{2}{5} \times \frac{8}{9}
- \frac{6}{7} \times \frac{3}{4}
- \frac{11}{13} \times \frac{2}{11}
- \frac{7}{10} \times \frac{5}{12}
- \frac{3}{5} \times \frac{8}{9}
Answers and Explanations
Easy Level Answers
- \frac{1}{6}
- \frac{1}{8}
- \frac{2}{15}
- \frac{3}{8}
- \frac{1}{16}
- \frac{3}{10}
- \frac{1}{1}
- \frac{1}{36}
- \frac{2}{6} (or \frac{1}{3})
- \frac{1}{10}
- \frac{3}{3}
- \frac{4}{25}
- \frac{2}{21}
- \frac{1}{20}
- \frac{2}{18} (or \frac{1}{9})
- \frac{1}{18}
- \frac{2}{32} (or \frac{1}{16})
- \frac{3}{5}
- \frac{2}{5}
- \frac{1}{12}
Medium Level Answers
- \frac{6}{12} (or \frac{1}{2})
- \frac{6}{15} (or \frac{2}{5})
- \frac{8}{48} (or \frac{1}{6})
- \frac{15}{14}
- \frac{6}{45} (or \frac{2}{15})
- \frac{6}{20} (or \frac{3}{10})
- \frac{3}{12} (or \frac{1}{4})
- \frac{8}{15}
- \frac{5}{32}
- \frac{6}{12} (or \frac{1}{2})
- \frac{8}{27}
- \frac{5}{12}
- \frac{6}{28} (or \frac{3}{14})
- \frac{1}{4}
- \frac{8}{40} (or \frac{1}{5})
- \frac{6}{6} (or 1)
- \frac{6}{48} (or \frac{1}{8})
- \frac{2}{28} (or \frac{1}{14})
- \frac{4}{28} (or \frac{1}{7})
- \frac{6}{54} (or \frac{1}{9})
Hard Level Answers
- \frac{35}{48}
- \frac{18}{30} (or \frac{3}{5})
- \frac{24}{35}
- \frac{22}{108} (or \frac{11}{54})
- \frac{15}{32}
- \frac{52}{75}
- \frac{30}{99} (or \frac{10}{33})
- \frac{2}{9}
- \frac{8}{30} (or \frac{4}{15})
- \frac{6}{40} (or \frac{3}{20})
- \frac{15}{48} (or \frac{5}{16})
- \frac{28}{40} (or \frac{7}{10})
- \frac{27}{77}
- \frac{3}{6} (or \frac{1}{2})
- \frac{7}{240}
- \frac{16}{45}
- \frac{18}{28} (or \frac{9}{14})
- \frac{22}{143}
- \frac{35}{120} (or \frac{7}{24})
- \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!