To determine which fractions are greater than one, we need to compare each fraction's numerator (the top number) with its denominator (the bottom number). A fraction is greater than one if its numerator is larger than its denominator.
Let's examine each fraction:
1. [tex]\(\frac{3}{5}\)[/tex]:
- The numerator is 3 and the denominator is 5.
- Since 3 is less than 5, [tex]\(\frac{3}{5}\)[/tex] is less than 1.
2. [tex]\(\frac{1}{2}\)[/tex]:
- The numerator is 1 and the denominator is 2.
- Since 1 is less than 2, [tex]\(\frac{1}{2}\)[/tex] is less than 1.
3. [tex]\(\frac{5}{8}\)[/tex]:
- The numerator is 5 and the denominator is 8.
- Since 5 is less than 8, [tex]\(\frac{5}{8}\)[/tex] is less than 1.
4. [tex]\(\frac{9}{8}\)[/tex]:
- The numerator is 9 and the denominator is 8.
- Since 9 is greater than 8, [tex]\(\frac{9}{8}\)[/tex] is greater than 1.
5. [tex]\(\frac{3}{2}\)[/tex]:
- The numerator is 3 and the denominator is 2.
- Since 3 is greater than 2, [tex]\(\frac{3}{2}\)[/tex] is greater than 1.
6. [tex]\(\frac{8}{5}\)[/tex]:
- The numerator is 8 and the denominator is 5.
- Since 8 is greater than 5, [tex]\(\frac{8}{5}\)[/tex] is greater than 1.
Thus, the fractions that are greater than 1 are:
[tex]\[
\frac{9}{8}, \frac{3}{2}, \frac{8}{5}
\][/tex]
