equivalent fractions examples grade 4

📚 Quick Study Guide

• 🍕Definition: Equivalent fractions are fractions that represent the same amount, even though they have different numerators and denominators.
• ➕Finding Equivalent Fractions: You can find equivalent fractions by multiplying or dividing both the numerator and the denominator by the same non-zero number.
• ➗ Simplifying Fractions: To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF).
• 📝 Example 1: $\frac{1}{2}$ is equivalent to $\frac{2}{4}$ because $1 \times 2 = 2$ and $2 \times 2 = 4$.
• 💡Example 2: $\frac{6}{8}$ is equivalent to $\frac{3}{4}$ because $6 \div 2 = 3$ and $8 \div 2 = 4$.
• 📐Visual Representation: Imagine a pie cut into slices. Equivalent fractions simply represent the same portion of the pie, but with different numbers of slices.

Practice Quiz

1. Which fraction is equivalent to $\frac{1}{3}$?
   1. $\frac{2}{3}$
   2. $\frac{2}{6}$
   3. $\frac{3}{6}$
   4. $\frac{4}{9}$
2. Which fraction is equivalent to $\frac{2}{5}$?
   1. $\frac{3}{5}$
   2. $\frac{4}{10}$
   3. $\frac{2}{10}$
   4. $\frac{5}{10}$
3. What fraction is equivalent to $\frac{4}{6}$ when simplified?
   1. $\frac{1}{2}$
   2. $\frac{2}{3}$
   3. $\frac{3}{4}$
   4. $\frac{1}{3}$
4. Which fraction is NOT equivalent to $\frac{1}{4}$?
   1. $\frac{2}{8}$
   2. $\frac{3}{12}$
   3. $\frac{4}{16}$
   4. $\frac{5}{15}$
5. Find the missing number to make the fractions equivalent: $\frac{3}{5} = \frac{?}{10}$
   1. 3
   2. 5
   3. 6
   4. 15
6. $\frac{8}{12}$ is equivalent to which simplified fraction?
   1. $\frac{1}{2}$
   2. $\frac{2}{3}$
   3. $\frac{3}{4}$
   4. $\frac{4}{6}$
7. Which of the following fractions are equivalent to each other?
   1. $\frac{1}{2}$ and $\frac{1}{3}$
   2. $\frac{2}{4}$ and $\frac{3}{6}$
   3. $\frac{1}{4}$ and $\frac{2}{6}$
   4. $\frac{2}{5}$ and $\frac{3}{5}$