What is the least common denominator of
1
4
and
5
8
?

To find the least common denominator (LCD) of the fractions \(\frac{1}{4}\) and \(\frac{5}{8}\), follow these steps:

### Step 1: Identify the denominators.
The denominators are 4 and 8.

### Step 2: Find the least common multiple (LCM) of the denominators.
The LCM of 4 and 8 is the smallest number that both 4 and 8 divide evenly into. In this case:
- Multiples of 4: 4, 8, 12, 16, ...
- Multiples of 8: 8, 16, 24, ...

The smallest common multiple is 8. Therefore, the LCD of \(\frac{1}{4}\) and \(\frac{5}{8}\) is **8**.

### Step 3: Rewrite the fractions with the LCD.
- \(\frac{1}{4}\) can be rewritten as \(\frac{2}{8}\) (since \(1 \times 2 = 2\) and \(4 \times 2 = 8\)).
- \(\frac{5}{8}\) remains \(\frac{5}{8}\).

Thus, the fractions with the least common denominator are \(\frac{2}{8}\) and \(\frac{5}{8}\).

Would you like more details or have any questions?

### Related Questions:
1. What is the least common denominator of \(\frac{2}{3}\) and \(\frac{5}{6}\)?
2. How do you find the least common denominator for three fractions?
3. What is the difference between the least common denominator and the least common multiple?
4. How do you add fractions with different denominators?
5. How can you simplify a fraction after finding a common denominator?

### Tip:
To make adding or subtracting fractions easier, always find the least common denominator first.

What is the least common denominator of 1/4 and 5/8?

Discover how to find the least common denominator (LCD) of the fractions 1/4 and 5/8 in this step-by-step guide. Learn about fractions, least common multiples, and how to rewrite fractions with a common denominator. Suitable for Grades 4-6 students.

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