To compare the fractions [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{5}{2}\)[/tex], let's look at their decimal values:
1. The fraction [tex]\(\frac{2}{3}\)[/tex] converts to a decimal value of approximately [tex]\(0.6667\)[/tex].
2. The fraction [tex]\(\frac{5}{2}\)[/tex] converts to a decimal value of [tex]\(2.5\)[/tex].
With these decimal values, we can clearly compare the two fractions:
- [tex]\(0.6667\)[/tex] is much smaller than [tex]\(2.5\)[/tex].
So, [tex]\(\frac{2}{3} < \frac{5}{2}\)[/tex].
Thus, the fractions [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{5}{2}\)[/tex] are the correct comparison of BC to BD.
In summary:
- [tex]\(\frac{2}{3}\)[/tex] represents a smaller ratio than [tex]\(\frac{5}{2}\)[/tex].
- Therefore, the comparison of BC to BD can be illustrated with these fractions [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{5}{2}\)[/tex], where [tex]\(\frac{2}{3}\)[/tex] is less than [tex]\(\frac{5}{2}\)[/tex].
