How can you write 3/8, 1/8, 3/16, 1/4 in the same form

To write the fractions \( \frac{3}{8}, \frac{1}{8}, \frac{3}{16}, \frac{1}{4} \) in the same form, you need to express them with a common denominator. The common denominator is the least common multiple (LCM) of the denominators \( 8, 8, 16, 4 \).

### Steps:
1. **Find the LCM of 8, 16, and 4**: 
   - Prime factors of 8: \( 2^3 \)
   - Prime factors of 16: \( 2^4 \)
   - Prime factors of 4: \( 2^2 \)
   - The LCM is the highest power of 2, which is \( 2^4 = 16 \).

So, the common denominator is 16.

2. **Convert each fraction to have 16 as the denominator**:
   - \( \frac{3}{8} = \frac{3 \times 2}{8 \times 2} = \frac{6}{16} \)
   - \( \frac{1}{8} = \frac{1 \times 2}{8 \times 2} = \frac{2}{16} \)
   - \( \frac{3}{16} = \frac{3}{16} \) (already in the correct form)
   - \( \frac{1}{4} = \frac{1 \times 4}{4 \times 4} = \frac{4}{16} \)

### Final Answer:
- \( \frac{3}{8} = \frac{6}{16} \)
- \( \frac{1}{8} = \frac{2}{16} \)
- \( \frac{3}{16} = \frac{3}{16} \)
- \( \frac{1}{4} = \frac{4}{16} \)

Now, all the fractions are written with the denominator 16.

Would you like more details or have any questions?

Here are some related questions:
1. How do you find the least common denominator (LCD)?
2. Can you simplify the fraction \( \frac{6}{16} \)?
3. What is the process to compare fractions with different denominators?
4. How do you add fractions with different denominators?
5. What is the difference between LCM and LCD?

**Tip**: When working with fractions, always check if they can be simplified after finding a common denominator.

How can you write 3/8, 1/8, 3/16, 1/4 in the same form?

Learn how to write fractions 3/8, 1/8, 3/16, and 1/4 with a common denominator by finding the Least Common Multiple (LCM) and converting them to have the denominator 16. This problem covers the LCM concept and fraction conversion, suitable for students in Grades 5-7.

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