Is 5/8 greater than 3/4?
Understand the Problem
The question is asking if the fraction 5/8 is greater than the fraction 3/4. To solve this, we will compare the two fractions.
Answer
\( \frac{5}{8} \) is not greater than \( \frac{3}{4} \)
Answer for screen readers
The fraction ( \frac{5}{8} ) is not greater than ( \frac{3}{4} )
Steps to Solve
- Find a common denominator
To compare the fractions directly, we need to have the same denominator. The denominators here are 8 and 4. The least common multiple (LCM) of 8 and 4 is 8. So we will convert both fractions to have a denominator of 8.
- Convert 3/4 to a denominator of 8
We need to convert $\frac{3}{4}$ to have a denominator of 8. We can do this by multiplying both the numerator and the denominator by 2.
$$\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}$$
Now we have $\frac{3}{4} = \frac{6}{8}$.
- Compare the numerators
Now that we have both fractions with the same denominator, we can compare the numerators: $\frac{5}{8}$ and $\frac{6}{8}$. Since 5 is less than 6, $\frac{5}{8}$ is less than $\frac{6}{8}$.
Therefore, $\frac{5}{8}$ is not greater than $\frac{3}{4}$.
The fraction ( \frac{5}{8} ) is not greater than ( \frac{3}{4} )
More Information
A fun fact about fractions is that they are essentially a way to represent division. So comparing fractions is like comparing two division results.
Tips
A common mistake is forgetting to find a common denominator when comparing fractions. Always make sure the fractions have the same denominator before comparing them directly.