To find five rational numbers between \(\frac{3}{5}\), and\(\frac{4}{5}\).
There are infinite rational numbers between.
\(\frac{3}{5}=\frac{3×6}{5×6}=\frac{18}{30}\)
\(\frac{4}{5}=\frac{4×6}{5×6}=\frac{24}{30}\)
Therefore, rational numbers between \(\frac{3}{5}\) and \(\frac{4}{5}\) are
\(\frac{19}{30},\frac{20}{30},\frac{21}{30},\frac{22}{30},\frac{23}{30},\)
The largest $ n \in \mathbb{N} $ such that $ 3^n $ divides 50! is:
(i) The kind of person the doctor is (money, possessions)
(ii) The kind of person he wants to be (appearance, ambition)
∆ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see Fig. 7.34). Show that ∠ BCD is a right angle.
