Is 4/6 greater than 3/8?
Understand the Problem
The question is asking whether the fraction 4/6 is greater than the fraction 3/8. To determine this, we can convert both fractions to a common denominator or compare their decimal values directly.
Answer
Yes, $\frac{4}{6} > \frac{3}{8}$.
Answer for screen readers
Yes, $\frac{4}{6}$ is greater than $\frac{3}{8}$.
Steps to Solve
- Finding a common denominator
To compare the fractions $\frac{4}{6}$ and $\frac{3}{8}$, we need to find a common denominator. The least common multiple (LCM) of 6 and 8 is 24.
- Converting fractions to the common denominator
Next, we convert both fractions to have a denominator of 24.
For $\frac{4}{6}$:
$$ \frac{4}{6} = \frac{4 \times 4}{6 \times 4} = \frac{16}{24} $$
For $\frac{3}{8}$:
$$ \frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24} $$
- Comparing the converted fractions
Now we compare the two fractions:
$$ \frac{16}{24} \text{ and } \frac{9}{24} $$
Since 16 is greater than 9, we have:
$$ \frac{16}{24} > \frac{9}{24} $$
Thus, $\frac{4}{6} > \frac{3}{8}$.
Yes, $\frac{4}{6}$ is greater than $\frac{3}{8}$.
More Information
When comparing fractions, it helps to convert them to a common denominator or decimals to easily see which is larger. In this case, $\frac{4}{6}$ simplified gives $\frac{2}{3}$, while $\frac{3}{8}$ is less than that value.
Tips
- Not finding the least common denominator: You may mistakenly use a common denominator that is not the least. Always check that.
- Forgetting to simplify: It’s easy to overlook simplifying fractions after converting them.
