Finding LCD for fractions: Solved examples Grade 6

📚 Quick Study Guide

• 🍎Definition: The Least Common Denominator (LCD) is the smallest common multiple of the denominators of two or more fractions.
• ➗Finding the LCD: List the multiples of each denominator. Identify the smallest multiple that appears in all lists.
• ➕Why use the LCD? It simplifies adding and subtracting fractions by ensuring all fractions have a common base.
• 📝Example: To find the LCD of $\frac{1}{4}$ and $\frac{1}{6}$: Multiples of 4 are 4, 8, 12, 16... Multiples of 6 are 6, 12, 18, 24... The LCD is 12.

Practice Quiz

1. What is the LCD of $\frac{1}{2}$ and $\frac{1}{3}$?
   1. 3
   2. 5
   3. 6
   4. 2
2. What is the LCD of $\frac{1}{4}$ and $\frac{1}{5}$?
   1. 9
   2. 10
   3. 20
   4. 1
3. What is the LCD of $\frac{1}{3}$ and $\frac{1}{6}$?
   1. 3
   2. 6
   3. 9
   4. 18
4. What is the LCD of $\frac{1}{2}$ and $\frac{3}{8}$?
   1. 2
   2. 4
   3. 6
   4. 8
5. What is the LCD of $\frac{2}{5}$ and $\frac{1}{10}$?
   1. 2
   2. 5
   3. 10
   4. 15
6. What is the LCD of $\frac{1}{4}$ and $\frac{5}{6}$?
   1. 4
   2. 6
   3. 12
   4. 24
7. What is the LCD of $\frac{3}{7}$ and $\frac{1}{2}$?
   1. 5
   2. 9
   3. 14
   4. 21