Solved examples: Grade 5 adding fractions with unlike denominators

📚 Quick Study Guide

🔍 Unlike Denominators: These are fractions where the bottom numbers (denominators) are different. For example, $\frac{1}{2}$ and $\frac{1}{3}$ have unlike denominators. ➕ Finding a Common Denominator: To add fractions with unlike denominators, you need to find a common denominator. The easiest way is to find the Least Common Multiple (LCM) of the denominators. ➗ Least Common Multiple (LCM): The smallest number that is a multiple of both denominators. For example, the LCM of 2 and 3 is 6. ✍️ Creating Equivalent Fractions: Once you have the common denominator, convert each fraction to an equivalent fraction with the common denominator. To do this, multiply both the numerator and the denominator by the same number. 💡 Adding the Fractions: Now that the fractions have the same denominator, you can add the numerators (top numbers) together. Keep the denominator the same. ✏️ Simplifying (Reducing) Fractions: If possible, simplify the resulting fraction to its simplest form. This means dividing both the numerator and denominator by their Greatest Common Factor (GCF).

➕ Practice Quiz

1. What is the least common denominator of $\frac{1}{4}$ and $\frac{2}{3}$?
   1. 6
   2. 7
   3. 12
   4. 24
2. What is $\frac{1}{2} + \frac{1}{4}$?
   1. $\frac{1}{6}$
   2. $\frac{2}{6}$
   3. $\frac{2}{4}$
   4. $\frac{3}{4}$
3. Solve: $\frac{2}{5} + \frac{1}{3}$
   1. $\frac{3}{8}$
   2. $\frac{11}{15}$
   3. $\frac{3}{15}$
   4. $\frac{1}{4}$
4. Calculate $\frac{3}{8} + \frac{1}{4}$:
   1. $\frac{4}{12}$
   2. $\frac{5}{8}$
   3. $\frac{4}{8}$
   4. $\frac{3}{32}$
5. Find the sum: $\frac{2}{3} + \frac{1}{6}$
   1. $\frac{3}{9}$
   2. $\frac{5}{6}$
   3. $\frac{3}{6}$
   4. $\frac{1}{2}$
6. What is $\frac{4}{7} + \frac{1}{2}$?
   1. $\frac{5}{9}$
   2. $\frac{15}{14}$
   3. $\frac{1}{3}$
   4. $\frac{8}{14}$
7. What is $\frac{5}{6} + \frac{2}{3}$?
   1. $\frac{7}{9}$
   2. $\frac{9}{6}$
   3. $\frac{3}{9}$
   4. $\frac{1}{2}$