Which is greater 3/8 or 3/4?
Understand the Problem
The question is asking to compare the two fractions 3/8 and 3/4 to determine which one has a greater value.
Answer
$\frac{3}{4} > \frac{3}{8}$
Answer for screen readers
The fraction $\frac{3}{4}$ is greater than $\frac{3}{8}$.
Steps to Solve
- Find a Common Denominator
To compare the fractions $\frac{3}{8}$ and $\frac{3}{4}$, we need a common denominator. The denominators are 8 and 4. The least common multiple of 8 and 4 is 8.
- Convert the Fractions
Next, we convert $\frac{3}{4}$ into a fraction with a denominator of 8. We can do this by multiplying the numerator and the denominator by 2:
$$ \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} $$
- Compare the Fractions
Now we have two fractions with the same denominator:
- $\frac{3}{8}$
- $\frac{6}{8}$
Since 6 is greater than 3, we conclude that:
$$ \frac{3}{8} < \frac{6}{8} $$
This means $\frac{3}{4}$ is greater than $\frac{3}{8}$.
The fraction $\frac{3}{4}$ is greater than $\frac{3}{8}$.
More Information
Understanding fractions is essential in math, and comparing them can help in various real-life situations like measuring ingredients in cooking or comparing sizes in construction.
Tips
- Not finding a common denominator before comparing fractions.
- Forgetting to convert both fractions to have the same base for a proper comparison.