What Are Equivalent Fractions?

Hi, Year 6! Today, we’re going to learn about equivalent fractions. Equivalent fractions are different fractions that represent the same part of a whole.

Understanding Fractions

First, let’s remember what a fraction is. A fraction has two parts:

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

For example, in the fraction $$\frac{1}{2}$$, 1 is the numerator, and 2 is the denominator. This means we have 1 part out of 2 equal parts.

Equivalent Fractions Explained

Now, let’s see what equivalent fractions look like.

For example, the fractions $$\frac{1}{2}$$ and $$\frac{2}{4}$$ are equivalent. They both represent the same amount. If you have one half of a pizza, it is the same as having two quarters of that same pizza.

How to Find Equivalent Fractions

You can find equivalent fractions by either:

  1. Multiplying the numerator and denominator by the same number.
  2. Dividing the numerator and denominator by the same number.

Example 1: Multiplying

  • Start with $$\frac{1}{2}$$.
  • Multiply both the numerator and denominator by 2:$$\frac{1 \times 2}{2 \times 2} = \frac{2}{4}$$.

Example 2: Dividing

  • Start with $$\frac{4}{8}$$.
  • Divide both the numerator and denominator by 4:$$\frac{4 \div 4}{8 \div 4} = \frac{1}{2}$$.

Key Rules to Remember

  • Same Value: Equivalent fractions have the same value, even if they look different.
  • Multiplication and Division: You can create equivalent fractions by multiplying or dividing the numerator and denominator by the same number.

Tips and Tricks

  • Use visual aids like pie charts or fraction bars to see how fractions are equivalent.
  • Remember to simplify fractions to their smallest form by dividing the numerator and denominator by their greatest common factor (GCF).

Practice Questions

Easy Level Questions

  1. What is $$\frac{2}{4}$$ equivalent to?
  2. Is $$\frac{3}{6}$$ equivalent to $$\frac{1}{2}$$?
  3. What fraction is equivalent to $$\frac{1}{3}$$ when multiplied by 2?
  4. What is $$\frac{4}{8}$$ equal to?
  5. Is $$\frac{5}{10}$$ equivalent to $$\frac{1}{2}$$?
  6. What is $$\frac{6}{12}$$ equivalent to?
  7. What fraction is equivalent to $$\frac{2}{5}$$ when multiplied by 3?
  8. Is $$\frac{8}{16}$$ equivalent to $$\frac{1}{2}$$?
  9. What is $$\frac{9}{18}$$ equal to?
  10. What fraction is equivalent to $$\frac{3}{9}$$?

Medium Level Questions

  1. Find a fraction equivalent to $$\frac{4}{5}$$ by multiplying by 3.
  2. Is $$\frac{10}{15}$$ equivalent to $$\frac{2}{3}$$?
  3. Find the equivalent fraction for $$\frac{7}{14}$$.
  4. What is $$\frac{12}{16}$$ equal to?
  5. Convert $$\frac{5}{25}$$ to an equivalent fraction.
  6. Is $$\frac{15}{20}$$ equivalent to $$\frac{3}{4}$$?
  7. Find a fraction equivalent to $$\frac{9}{27}$$.
  8. Simplify $$\frac{18}{24}$$ to its equivalent fraction.
  9. What is $$\frac{16}{32}$$ equal to?
  10. What fraction is equivalent to $$\frac{6}{15}$$?

Hard Level Questions

  1. Find an equivalent fraction for $$\frac{11}{22}$$.
  2. Simplify $$\frac{45}{60}$$ to its equivalent fraction.
  3. Is $$\frac{14}{21}$$ equivalent to $$\frac{2}{3}$$?
  4. Find a fraction equivalent to $$\frac{3}{4}$$ by multiplying by 4.
  5. What is the GCF of the numerator and denominator of $$\frac{36}{48}$$?
  6. Find an equivalent fraction for $$\frac{20}{30}$$.
  7. Is $$\frac{25}{30}$$ equivalent to $$\frac{5}{6}$$?
  8. Simplify $$\frac{28}{42}$$ to its equivalent fraction.
  9. Find a fraction equivalent to $$\frac{8}{12}$$ by dividing.
  10. Is $$\frac{36}{54}$$ equivalent to $$\frac{2}{3}$$?

Answers

Easy Level Answers

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

Medium Level Answers

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

Hard Level Answers

  1. $$\frac{1}{2}$$
  2. $$\frac{3}{4}$$
  3. No
  4. $$\frac{12}{16}$$
  5. 12
  6. $$\frac{2}{3}$$
  7. Yes
  8. $$\frac{2}{3}$$
  9. $$\frac{2}{3}$$
  10. Yes

I hope this helps you understand equivalent fractions better! Keep practicing, and you’ll become a fraction expert in no time!