Is 2/6 greater than 1/3?
Understand the Problem
The question asks to compare the fractions 2/6 and 1/3 to determine which one is greater.
Answer
$ \frac{2}{6} = \frac{1}{3} $
Answer for screen readers
$ \frac{2}{6} = \frac{1}{3} $
Steps to Solve
- Find a common denominator
To compare the two fractions, we first find a common denominator. The denominators in this case are 6 and 3. The least common multiple (LCM) of 3 and 6 is 6.
- Convert 1/3 to have the common denominator
Now we convert the fraction $ \frac{1}{3} $ to have a denominator of 6. We do this by multiplying both the numerator and the denominator by 2: $$ \frac{1 \cdot 2}{3 \cdot 2} = \frac{2}{6} $$
- Compare the two fractions
Now we can compare the two fractions: $$ \frac{2}{6} \text{ and } \frac{2}{6} $$ Since they are equal, we can conclude that $ \frac{2}{6} = \frac{1}{3} $.
$ \frac{2}{6} = \frac{1}{3} $
More Information
Both fractions represent the same value, which means they are equal when simplified. This shows that finding a common denominator is a helpful method for comparing fractions.
Tips
- Inaccurately finding the least common denominator can lead to incorrect comparisons. Always ensure that you convert both fractions to the same denominator before comparing them.
