Year 4 Maths: Equivalent Fractions

What are Equivalent Fractions?

Hello, Year 4! Today, we are going to learn about equivalent fractions. But what does that mean?

When we say two fractions are equivalent, it means they are different fractions that represent the same amount or part of a whole. For example, if you have a pizza and you cut it into two equal slices, each slice is 1/2 of the pizza. If you cut the same pizza into four equal slices, each slice is 1/4 of the pizza. But if you take two of those 1/4 slices, you have the same amount of pizza as 1/2. So, we can say:

$$\frac{1}{2} = \frac{2}{4}$$

How to Find Equivalent Fractions

There are a couple of simple rules you can use to find equivalent fractions:

1. Multiply or Divide: You can make an equivalent fraction by multiplying or dividing both the top number (numerator) and the bottom number (denominator) by the same number.
   • For example, to find an equivalent fraction for $$\frac{1}{3}$$, you can multiply both numbers by 2:
   $$\frac{1 \times 2}{3 \times 2} = \frac{2}{6}$$
2. Visuals Help: Drawing pictures or using fraction bars can help you see that different fractions can represent the same part of a whole.

Tips and Tricks

• Think of Pizza: Visualise fractions with pizza or cake slices. It makes understanding easier!
• Use Number Lines: Drawing a number line can help you see how different fractions fit together.
• Practice Makes Perfect: The more you practice finding equivalent fractions, the easier it becomes!

Questions

Easy Level Questions

1. What is an equivalent fraction for $$\frac{1}{2}$$?
2. Is $$\frac{2}{4}$$ equivalent to $$\frac{1}{2}$$?
3. Write an equivalent fraction for $$\frac{3}{6}$$.
4. What fraction is equivalent to $$\frac{4}{8}$$?
5. Are $$\frac{5}{10}$$ and $$\frac{1}{2}$$ equivalent?
6. What is $$\frac{2}{3}$$ multiplied by 2?
7. Find an equivalent fraction for $$\frac{1}{4}$$.
8. What is an equivalent fraction for $$\frac{3}{9}$$?
9. Is $$\frac{6}{12}$$ equivalent to $$\frac{1}{2}$$?
10. Write an equivalent fraction for $$\frac{5}{15}$$.

Medium Level Questions

1. What is $$\frac{3}{4}$$ multiplied by 3?
2. Are $$\frac{6}{8}$$ and $$\frac{3}{4}$$ equivalent?
3. Find an equivalent fraction for $$\frac{2}{5}$$ by multiplying.
4. Write an equivalent fraction for $$\frac{1}{6}$$ by dividing.
5. Is $$\frac{8}{12}$$ equivalent to $$\frac{2}{3}$$?
6. What is an equivalent fraction for $$\frac{9}{27}$$?
7. If $$\frac{4}{10}$$ is simplified, what do you get?
8. Write an equivalent fraction for $$\frac{7}{14}$$.
9. Is $$\frac{10}{15}$$ equivalent to $$\frac{2}{3}$$?
10. What is $$\frac{2}{7}$$ multiplied by 4?

Hard Level Questions

1. Find an equivalent fraction for $$\frac{5}{20}$$ by dividing.
2. Are $$\frac{12}{16}$$ and $$\frac{3}{4}$$ equivalent? Explain why.
3. Write an equivalent fraction for $$\frac{15}{25}$$.
4. What is $$\frac{9}{12}$$ multiplied by 2?
5. Is $$\frac{18}{24}$$ equivalent to $$\frac{3}{4}$$? Explain.
6. If you multiply $$\frac{3}{5}$$ by 3, what do you get?
7. Find an equivalent fraction for $$\frac{8}{32}$$.
8. What is an equivalent fraction for $$\frac{6}{18}$$?
9. Write an equivalent fraction for $$\frac{10}{30}$$.
10. Are $$\frac{4}{6}$$ and $$\frac{2}{3}$$ equivalent? Show your work.

Answers

Easy Level Answers

1. $$\frac{2}{4}$$
2. Yes
3. $$\frac{1}{2}$$
4. $$\frac{1}{2}$$
5. Yes
6. $$\frac{6}{6}$$ or 1
7. $$\frac{2}{8}$$ or $$\frac{1}{2}$$
8. $$\frac{1}{3}$$
9. Yes
10. $$\frac{1}{3}$$

Medium Level Answers

1. $$\frac{9}{12}$$
2. Yes
3. $$\frac{4}{10}$$
4. $$\frac{1}{3}$$
5. Yes
6. $$\frac{12}{15}$$ or $$\frac{4}{5}$$
7. $$\frac{1}{5}$$
8. $$\frac{1}{2}$$
9. Yes
10. $$\frac{8}{28}$$

Hard Level Answers

1. $$\frac{1}{4}$$
2. Yes, both simplify to $$\frac{3}{4}$$
3. $$\frac{3}{5}$$
4. $$\frac{18}{24}$$
5. Yes, they both simplify to $$\frac{3}{4}$$
6. $$\frac{9}{15}$$
7. $$\frac{1}{4}$$
8. $$\frac{1}{3}$$
9. $$\frac{1}{3}$$
10. Yes, they both simplify to $$\frac{2}{3}$$

I hope this helps you understand equivalent fractions better! Remember, practice is key! Happy learning!