Is 4/6 greater than 3/8?
Understand the Problem
The question is asking us to compare the fractions 4/6 and 3/8 to determine which one is greater. To solve this, we can convert both fractions to a common denominator or convert them to decimal form and then compare the values.
Answer
$\frac{4}{6} > \frac{3}{8}$
Answer for screen readers
The fraction $\frac{4}{6}$ is greater than $\frac{3}{8}$.
Steps to Solve
- Identify a Common Denominator
To compare the fractions $\frac{4}{6}$ and $\frac{3}{8}$, we need to find a common denominator. The denominators are 6 and 8. The least common multiple (LCM) of 6 and 8 is 24.
- Convert Fractions to Equivalent Fractions
Now, we convert both fractions to have the common denominator of 24.
For $\frac{4}{6}$:
$$ \frac{4}{6} = \frac{4 \times 4}{6 \times 4} = \frac{16}{24} $$
For $\frac{3}{8}$:
$$ \frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24} $$
- Compare the Equivalent Fractions
Now that both fractions have the same denominator, we can compare $\frac{16}{24}$ and $\frac{9}{24}$.
Since 16 is greater than 9, we conclude that:
$$ \frac{16}{24} > \frac{9}{24} $$
Thus, $\frac{4}{6} > \frac{3}{8}$.
The fraction $\frac{4}{6}$ is greater than $\frac{3}{8}$.
More Information
Comparing fractions is a fundamental skill in math. Using a common denominator helps to directly see which fraction represents a larger value. In this case, we converted both fractions to have a denominator of 24, allowing for easy comparison.
Tips
- A common mistake is incorrectly finding the least common multiple (LCM). Make sure to list multiples properly to avoid errors.
- Also, some might mistakenly compare the fractions before converting them to a common denominator, which can lead to incorrect conclusions.
