Is 1/3 greater than 1/6?
Understand the Problem
The question is asking us to compare the fractions 1/3 and 1/6 to determine which is greater. To solve this, we need to find a common denominator or convert the fractions to a decimal format to compare their values directly.
Answer
$ \frac{1}{3} > \frac{1}{6} $
Answer for screen readers
$ \frac{1}{3} > \frac{1}{6} $
Steps to Solve
- Identify the fractions
We need to compare the two fractions: $ \frac{1}{3} $ and $ \frac{1}{6} $.
- Find a common denominator
The denominators of the fractions are 3 and 6. The least common denominator (LCD) is 6.
- Convert the first fraction
Convert $ \frac{1}{3} $ to have the common denominator of 6.
To do this, multiply both the numerator and the denominator by 2:
$$ \frac{1 \times 2}{3 \times 2} = \frac{2}{6} $$
- Compare the fractions
Now, we compare the fractions $ \frac{2}{6} $ and $ \frac{1}{6} $.
Since both fractions have the same denominator, we can directly compare their numerators:
$ 2 > 1 $, therefore $ \frac{2}{6} > \frac{1}{6} $.
This means:
$$ \frac{1}{3} > \frac{1}{6} $$
$ \frac{1}{3} > \frac{1}{6} $
More Information
Comparing fractions involves converting them to a common denominator or direct decimal conversion. In this case, we found that $ \frac{1}{3} $ is greater than $ \frac{1}{6} $.
Tips
- A common mistake is not finding the correct common denominator, which can lead to incorrect comparisons. To avoid this, always ensure you find the least common denominator (LCD).
