What Are Equivalent Fractions?

Hello, Year 5! Today, we’re going to learn about equivalent fractions. This is a really cool concept in maths. Equivalent fractions are fractions that look different but actually represent the same amount or value.

Understanding Fractions

First, let’s quickly remember what a fraction is. A fraction is made up of two parts:

  • The numerator (the top number) tells us how many parts we have.
  • The denominator (the bottom number) tells us how many equal parts something is divided into.

For example, in the fraction $$\frac{1}{2}$$, the numerator is 1, and the denominator is 2.

Examples of Equivalent Fractions

Now, let’s see some equivalent fractions:

  • $$\frac{1}{2}$$ is the same as $$\frac{2}{4}$$.
  • $$\frac{3}{6}$$ is the same as $$\frac{1}{2}$$.
  • $$\frac{4}{8}$$ is the same as $$\frac{1}{2}$$.

Even though the numbers are different, they all represent the same part of a whole.

How to Find Equivalent Fractions

  1. Multiplying: You can create equivalent fractions by multiplying the numerator and the denominator by the same number. For example:
    • If we take $$\frac{1}{3}$$ and multiply both the top and bottom by 2, we get:$$\frac{1 \times 2}{3 \times 2} = \frac{2}{6}$$.
  2. Dividing: You can also find equivalent fractions by dividing both the numerator and the denominator by the same number. For example:
    • From $$\frac{4}{8}$$, if we divide both by 4, we get:$$\frac{4 \div 4}{8 \div 4} = \frac{1}{2}$$.

Key Rules to Remember

  • Same Value: Equivalent fractions represent the same value, just expressed in different numbers.
  • Multiplying or Dividing: You can always get equivalent fractions by multiplying or dividing both parts of the fraction by the same number.

Tips and Tricks

  • Visual Aids: Draw pie charts or bars to see how equivalent fractions look the same when divided.
  • Practice: The more you practice finding equivalent fractions, the easier it will become!

Questions on Equivalent Fractions

Easy Level Questions

  1. What is $$\frac{1}{2}$$ equivalent to?
  2. Is $$\frac{2}{4}$$ equivalent to $$\frac{1}{2}$$? (Yes/No)
  3. Find an equivalent fraction for $$\frac{3}{9}$$.
  4. What is $$\frac{4}{8}$$ equivalent to?
  5. Is $$\frac{5}{10}$$ equivalent to $$\frac{1}{2}$$? (Yes/No)
  6. Find an equivalent fraction for $$\frac{2}{3}$$.
  7. What is $$\frac{6}{12}$$ equivalent to?
  8. Is $$\frac{1}{4}$$ equivalent to $$\frac{2}{8}$$? (Yes/No)
  9. Find an equivalent fraction for $$\frac{1}{5}$$.
  10. What is $$\frac{3}{6}$$ equivalent to?

Medium Level Questions

  1. Find two equivalent fractions for $$\frac{2}{5}$$.
  2. What is $$\frac{5}{15}$$ equivalent to?
  3. Is $$\frac{6}{18}$$ equivalent to $$\frac{1}{3}$$? (Yes/No)
  4. Find an equivalent fraction for $$\frac{4}{10}$$.
  5. Create an equivalent fraction for $$\frac{7}{14}$$.
  6. What is $$\frac{8}{24}$$ equivalent to?
  7. If $$\frac{3}{4}$$ is reduced, what do you get?
  8. What is $$\frac{9}{27}$$ equivalent to?
  9. Is $$\frac{10}{20}$$ equivalent to $$\frac{1}{2}$$? (Yes/No)
  10. Find an equivalent fraction for $$\frac{5}{25}$$.

Hard Level Questions

  1. If $$\frac{12}{36}$$ is simplified, what do you get?
  2. Find three equivalent fractions for $$\frac{1}{6}$$.
  3. Is $$\frac{15}{45}$$ equivalent to $$\frac{1}{3}$$? (Yes/No)
  4. Create an equivalent fraction for $$\frac{2}{7}$$.
  5. What is $$\frac{16}{64}$$ equivalent to?
  6. Find an equivalent fraction for $$\frac{9}{30}$$.
  7. If $$\frac{8}{32}$$ is simplified, what do you get?
  8. Is $$\frac{4}{6}$$ equivalent to $$\frac{2}{3}$$? (Yes/No)
  9. Find an equivalent fraction for $$\frac{10}{25}$$.
  10. What is $$\frac{14}{42}$$ equivalent to?

Answers and Explanations

Easy Level Answers

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

Medium Level Answers

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

Hard Level Answers

  1. $$\frac{1}{3}$$
  2. $$\frac{2}{12}$$, $$\frac{3}{18}$$, $$\frac{4}{24}$$
  3. Yes
  4. $$\frac{4}{14}$$
  5. $$\frac{1}{4}$$
  6. $$\frac{3}{10}$$
  7. $$\frac{1}{4}$$
  8. Yes
  9. $$\frac{2}{5}$$
  10. $$\frac{1}{3}$$

I hope this helps you understand equivalent fractions better! Keep practising, and you will get even better!