Question

find three rational number lying between3/5 and 7/8

Answer 1

3/5 and 7/8
l.c.m of denominators to make the denominator same
L.c.m 40
now, digits are 24/40 and 35/40
three rational no. are 25/40 , 26/40 , 27/40

Answer 2

Hey friend,
Here is the answer you were looking for:
$1st \: rational \: number \\ \\ ( \frac{3}{5} + \frac{7}{8} ) \div 2 \\ \\ = (\frac{3 \times 8 + 7 \times 5}{8} ) \times \frac{1}{2} \\ \\ = \frac{24 + 35}{8} \times \frac{1}{2} \\ \\ = \frac{59}{16} \\ \\ 2nd \: rational \: number \\ rational \: number \: between \: \frac{3}{5} \: and \: \frac{59}{16} \\ \\ = ( \frac{3}{5} + \frac{59}{16} ) \div 2 \\ \\ = \frac{3 \times 16 + 59 \times 5}{80} \times \frac{1}{2} \\ \\ = \frac{48 + 295}{160} \\ \\ = \frac{343}{160} \\ \\ third \: rational \: number \\ rational \: number \: b etween \: \frac{59}{16} \: and \: \frac{7}{8} \\ \\ ( \frac{59}{16} + \frac{7}{8} ) \div 2 \\ \\ = \frac{59 + 7 \times 2}{16} \times \frac{1}{2} \\ \\ = \frac{59 + 14}{16} \times \frac{1}{2} \\ \\ = \frac{73}{32}$

Hope this helps!!!

@Mahak24

Thanks...
☺