Which of the following fractions is smaller than 1/4?
(1)9/25
(2)7/2 
(3)6/9
(4)7/11

To find the fraction smaller than \( \frac{1}{4} \), we need to compare each option with \( \frac{1}{4} \). One way to do this is to convert all fractions to decimals or find a common denominator for easier comparison. Here, I'll simplify by converting each fraction to a decimal.

1. **\( \frac{9}{25} \)**:  
   \[ \frac{9}{25} = 0.36. \]

2. **\( \frac{7}{2} \)**:  
   \[ \frac{7}{2} = 3.5. \]

3. **\( \frac{6}{9} \)**:  
   Simplifying \( \frac{6}{9} \) to \( \frac{2}{3} \),  
   \[ \frac{2}{3} \approx 0.6667. \]

4. **\( \frac{7}{11} \)**:  
   \[ \frac{7}{11} \approx 0.6364. \]

Now, we compare each decimal to \( \frac{1}{4} = 0.25 \):

- \( 0.36 > 0.25 \) (Not smaller)
- \( 3.5 > 0.25 \) (Not smaller)
- \( 0.6667 > 0.25 \) (Not smaller)
- \( 0.6364 > 0.25 \) (Not smaller)

None of these fractions are smaller than \( \frac{1}{4} \). Please check the problem statement; there might be an error, as none of the given options fit the condition of being smaller than \( \frac{1}{4} \). 

Would you like more details or have any questions?

### 5 Related Questions:
1. How do you compare fractions without converting them to decimals?
2. What is a simple way to find a common denominator for fractions?
3. How can you quickly tell if a fraction is greater than \( \frac{1}{2} \) or less?
4. How do you convert a fraction to a decimal?
5. How can you simplify fractions to make comparisons easier?

**Tip:** To compare fractions quickly, cross-multiply. For example, to compare \( \frac{1}{4} \) and \( \frac{9}{25} \), multiply \( 1 \times 25 \) and \( 4 \times 9 \). The larger product indicates the larger fraction.

Which of the following fractions is smaller than 1/4? (1)9/25 (2)7/2 (3)6/9 (4)7/11

Learn how to compare fractions to determine which is smaller than 1/4. This problem involves converting fractions to decimals and using cross-multiplication for easy comparison. Suitable for students in Grades 4-6.

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