Question

find six rational numbers between 2/3 and 2/5.​

Answer 1

Answer:

$\sf \: lcm \: of \: 3 \: and \: 5 \: is \: 15 \\ \\ \sf( we \: have \: to \: find \: 6 \: rational \: number \: then \: we \: multiply \: the \: lcm \: and \: successor \: of \: 6 = 15 \times 7 = 105) \\ \\ \sf\frac{2}{3} = \frac{70}{105} \\ \\ \frac{2}{5} = \sf \frac{42}{105} \\ \\ \sf \: answer = \frac{43}{105} , \frac{44}{105} , \frac{45}{105} , \frac{46}{105} , \frac{47}{105} , \frac{48}{105}, \frac{49}{105}$