2/3,3/4,5/6,7/8,11/12 convert into like fractions

To convert these fractions into like fractions, we need to find their least common denominator (LCD). The LCD is the smallest number that all the denominators can divide into. 

### Step 1: Identify the denominators
The denominators are:  
- 3 (from \( \frac{2}{3} \))
- 4 (from \( \frac{3}{4} \))
- 6 (from \( \frac{5}{6} \))
- 8 (from \( \frac{7}{8} \))
- 12 (from \( \frac{11}{12} \))

### Step 2: Find the Least Common Denominator (LCD)
The LCD of 3, 4, 6, 8, and 12 is 24.

### Step 3: Convert each fraction to have the denominator of 24

1. \( \frac{2}{3} \) becomes \( \frac{16}{24} \) because \( 2 \times 8 = 16 \) and \( 3 \times 8 = 24 \).
2. \( \frac{3}{4} \) becomes \( \frac{18}{24} \) because \( 3 \times 6 = 18 \) and \( 4 \times 6 = 24 \).
3. \( \frac{5}{6} \) becomes \( \frac{20}{24} \) because \( 5 \times 4 = 20 \) and \( 6 \times 4 = 24 \).
4. \( \frac{7}{8} \) becomes \( \frac{21}{24} \) because \( 7 \times 3 = 21 \) and \( 8 \times 3 = 24 \).
5. \( \frac{11}{12} \) becomes \( \frac{22}{24} \) because \( 11 \times 2 = 22 \) and \( 12 \times 2 = 24 \).

### Final result:
The like fractions are:
\[ \frac{16}{24}, \frac{18}{24}, \frac{20}{24}, \frac{21}{24}, \frac{22}{24} \]

Would you like more details or have any questions?

Here are five related questions to deepen your understanding:
1. How do you find the least common denominator (LCD) for three or more fractions?
2. Why is it important to convert fractions into like fractions for addition or subtraction?
3. Can you simplify the like fractions back into their simplest form?
4. What happens when you multiply or divide fractions with like denominators?
5. How do you handle improper fractions when converting to like fractions?

**Tip:** When comparing or adding fractions, converting them to like fractions with the same denominator simplifies the process.

2/3, 3/4, 5/6, 7/8, 11/12 convert into like fractions

Learn how to convert the fractions 2/3, 3/4, 5/6, 7/8, and 11/12 into like fractions by finding their least common denominator (LCD). This detailed solution explains the step-by-step process of converting each fraction to have a denominator of 24, ideal for students in Grades 5-7.

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