What are Equivalent Fractions? Grade 6 Definition and Examples

📚 Quick Study Guide

• 🔢 Equivalent fractions are fractions that represent the same value, even though they have different numerators and denominators. For example, $\frac{1}{2}$ and $\frac{2}{4}$ are equivalent.
• ➗ To find equivalent fractions, you can multiply or divide both the numerator and denominator by the same non-zero number.
• 🔍 For example, to find a fraction equivalent to $\frac{3}{5}$, you can multiply both the numerator and denominator by 2: $\frac{3 \times 2}{5 \times 2} = \frac{6}{10}$. So, $\frac{3}{5}$ and $\frac{6}{10}$ are equivalent.
• ➕ You can also simplify fractions to find equivalent fractions. For example, $\frac{4}{8}$ can be simplified by dividing both the numerator and denominator by 4: $\frac{4 \div 4}{8 \div 4} = \frac{1}{2}$.
• 📝 The key is to perform the same operation (multiplication or division) on both the top and bottom of the fraction.

Practice Quiz

1. Which of the following fractions is equivalent to $\frac{1}{3}$?
   1. $\frac{2}{9}$
   2. $\frac{3}{6}$
   3. $\frac{2}{6}$
   4. $\frac{4}{9}$
2. Which fraction is equivalent to $\frac{2}{5}$?
   1. $\frac{3}{10}$
   2. $\frac{4}{10}$
   3. $\frac{5}{10}$
   4. $\frac{6}{15}$
3. $\frac{3}{4}$ is equivalent to which fraction?
   1. $\frac{4}{8}$
   2. $\frac{6}{12}$
   3. $\frac{9}{12}$
   4. $\frac{12}{20}$
4. What fraction is equivalent to $\frac{5}{6}$?
   1. $\frac{6}{7}$
   2. $\frac{10}{18}$
   3. $\frac{10}{12}$
   4. $\frac{15}{30}$
5. Which of these is NOT equivalent to $\frac{1}{2}$?
   1. $\frac{2}{4}$
   2. $\frac{3}{6}$
   3. $\frac{4}{8}$
   4. $\frac{5}{9}$
6. Find the fraction equivalent to $\frac{4}{7}$.
   1. $\frac{8}{21}$
   2. $\frac{8}{14}$
   3. $\frac{12}{14}$
   4. $\frac{16}{21}$
7. Which fraction equals $\frac{7}{8}$?
   1. $\frac{14}{15}$
   2. $\frac{14}{16}$
   3. $\frac{21}{24}$
   4. $\frac{28}{40}$