Question

insert six rational numbers between 3 and 4

Answer 1

$\frac{3}{1} \times \frac{6}{6 } = \frac{18}{6} \\ \frac{4}{1} \times \frac{6}{6} = \frac{24}{6} so \: \frac{19}{6} \frac{20}{6} \frac{21}{6} \frac{22}{6} \frac{23}{6} \frac{24}{6}$

Answer 2

given nos are 3 and 4
recall that if a and b are two rational numbers then a+b ÷2 is a rational number that lies between a nd b
rational numbers between 3 and 4 are 3+4÷2 =7/2.
rational numbers between 3 and7/2= 3+7/2 ×1/2 = 13/4
rational numbers between 3 and13/4 =3+13/4×1/2= 25/8
rational numbers between 3and25/8 =49/16
rational numbers between 3and 49/16=3+49/16×1/2=97/32
rational numbers between 3 and 97/32=3+97/32=193/64
therefore the rational nos between 3and 4 are 7/2,13/4,25/8,49/16,97/32 and193/64

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