Question

Find four rational numbers bet-2/5 and -3/8

Answer 1

Step-by-step explanation:

$= > \: rational \: number \: between \: \frac{ - 2}{5} and \: \frac{ - 3}{8} \\ \\ \: (1) \: \: = > \frac{ \frac{ - 2}{5} + \frac{ - 3}{8} }{2} \\ \\ \: \: \: \: \: \: \: \: \: = > \frac{ \frac{ - 16}{40} - \frac{15}{40} }{2} \\ \\ \: \: \: \: \: \: \: \: \: = > \frac{ \frac{ - 31}{40} }{2} = \frac{ - 31}{80} \\ \\ (2) \: \: = > \frac{ \frac{ - 31}{80} + \frac{ - 2}{5} }{2} \\ \\ \: \: \: \: \: \: \: \: = > \frac{ \frac{ - 31}{80} - \frac{32}{80} }{2} \\ \\ \: \: \: \: \: \: \: \: = > \frac{ - 31 - 32}{2 \times 80} = \frac{ - 63}{160} \\ \\ (3) \: = > \frac{ \frac{ - 31}{80} + \frac{ - 3}{8} }{2} \\ \\ \: \: \: \: \: \: \: = > \frac{ \frac{ - 31}{80} - \frac{30}{80} }{2} \\ \\ \: \: \: \: \: \: = > \frac{ - 31 - 30}{80 \times 2} = \frac{ - 61}{160} \\ \\ (4) \: \: \: = > \frac{ \frac{ - 63}{160} + \frac{ - 61}{160} }{2} \\ \\ \: \: \: \: \: \: \: \: \: = > \frac{ \frac{ - 63}{160} - \frac{61}{160} }{2} \\ \\ \: \: \: \: \: \: \: \: \: = > \frac{ - 63 - 61}{2 \times 160} = - \frac{124}{320} = - \frac{31 \times 4}{80 \times 4} \\ \\ \: \: \: \: \: \: \: \: = > - \frac{31}{80}$