Math Problem Statement
1/6 compared to 1/4
Solution
To compare and , we need to express them with a common denominator. The least common denominator (LCD) of 6 and 4 is 12.
We can convert both fractions as follows:
- (Multiplying both numerator and denominator by 2)
- (Multiplying both numerator and denominator by 3)
Now, we can clearly see that:
- (or ) is smaller than (or ).
So, is less than .
Would you like more details or have any questions about comparing fractions?
Here are 5 related questions:
- How do you find the least common denominator (LCD) of two fractions?
- What is the difference between equivalent fractions and simplified fractions?
- How do you convert improper fractions to mixed numbers?
- How can you add or subtract fractions with different denominators?
- Can you compare fractions with different denominators without converting them?
Tip: When comparing fractions, always convert them to a common denominator to make the comparison easier.
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Math Problem Analysis
Mathematical Concepts
Fractions
Comparing Fractions
Common Denominators
Formulas
Finding Least Common Denominator (LCD)
Theorems
Comparing fractions by converting them to a common denominator
Suitable Grade Level
Grades 4-6