Is 1/6 LESS than 1/4?
Understanding the Question
The question "Is 1/6 LESS than 1/4?" is a simple math problem that can be easily answered with a few calculations. In this article, we will break down the problem and provide a step-by-step solution.
Calculating 1/6 of 1/4
To answer this question, we need to calculate 1/6 of 1/4. This can be done by multiplying 1/4 by 1/6.
Step-by-Step Solution
- Multiply 1/4 by 1/6:
- 1/4 × 1/6 = 1/24
Understanding the Result
The result of 1/6 of 1/4 is 1/24. This means that 1/6 is equal to 1/24.
Is 1/6 LESS than 1/4?
Now that we have calculated 1/6 of 1/4, we can answer the question "Is 1/6 LESS than 1/4?" by comparing the two fractions.
Comparing the Fractions
To compare the fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 6 is 12.
Converting Fractions to Have a Common Denominator
- 1/4 = 3/12
- 1/6 = 2/12
Comparing the Numerators
Now that the fractions have a common denominator, we can compare the numerators.
- 3 (numerator of 1/4) < 2 (numerator of 1/6)
Conclusion
Since the numerator of 1/4 (3) is less than the numerator of 1/6 (2), we can conclude that 1/6 is LESS than 1/4.
Additional Information
- Significance of the Result: The result of 1/6 of 1/4 is significant because it shows that 1/6 is a smaller fraction than 1/4.
- Real-World Applications: This result has real-world applications, such as comparing the cost of different products or services.
- Mathematical Properties: The result of 1/6 of 1/4 demonstrates the mathematical property that 1/6 is a smaller fraction than 1/4.
Conclusion
In conclusion, the result of 1/6 of 1/4 is 1/24, and 1/6 is LESS than 1/4. This result demonstrates the mathematical property that 1/6 is a smaller fraction than 1/4. The significance of this result is that it shows the relationship between fractions and has real-world applications.
Table: Comparing 1/6 and 1/4
| Fraction | Numerator | Denominator | Result |
|---|---|---|---|
| 1/4 | 1 | 4 | 3/12 |
| 1/6 | 1 | 6 | 2/12 |
| 1/6 | 1/6 | 6 | 2/12 |
| 1/4 | 1 | 4 | 3/12 |
Conclusion
In this article, we have answered the question "Is 1/6 LESS than 1/4?" by calculating 1/6 of 1/4 and comparing the two fractions. We have also discussed the significance of the result and its real-world applications. The result demonstrates the mathematical property that 1/6 is a smaller fraction than 1/4, and its significance is that it shows the relationship between fractions.