Is 3/4 greater than 5/8?
Understand the Problem
The question is asking for a comparison between two fractions, 3/4 and 5/8, to determine which one is larger.
Answer
\(\frac{3}{4}\) is greater than \(\frac{5}{8}\).
Answer for screen readers
Therefore, (\frac{3}{4}) is greater than (\frac{5}{8}).
Steps to Solve
- Convert the fractions to the same denominator
To compare the fractions, we will convert them to equivalent fractions with the same denominator. The least common denominator (LCD) of 4 and 8 is 8.
- Find the equivalent fraction of 3/4 with the denominator 8
Multiply both the numerator and the denominator of 3/4 by 2: $$\frac{3}{4} \times \frac{2}{2} = \frac{6}{8}$$
- Compare the equivalent fractions
Now we have the fractions (\frac{6}{8}) and (\frac{5}{8}). Compare the numerators since the denominators are the same: $$6 > 5$$
- Conclusion
Since (6 > 5), it follows that (\frac{3}{4} > \frac{5}{8}).
Therefore, (\frac{3}{4}) is greater than (\frac{5}{8}).
More Information
This kind of fraction comparison is crucial in understanding basic arithmetic and number sense.
Tips
A common mistake is either not converting the fractions to the same denominator or comparing the wrong parts of the fractions. Always make sure they have a common denominator before comparing.