Question

Find five rational numbers between
3 and 4​

Answer 1

Step-by-step explanation:

Let the two given numbers be a and b respectively a= 3 and b=4

We know that the rational number between a and b is given by (a + b)/2

So the rational number between 3 and 4 = (3+4)/2 = 7/2

Then, Rational number between 3 and 7/2 =[3+(7/2)]/2 = 13/4

Then Rational number between 13/4 and 3 =[(13/4) + 3]/2 = 25/8

Then Rational number between 4 and 7/2 =[4+(7/2)]/2 = 15/4

Then Rational number between 13/4 and 4 =[(13/4) + 4]/2 = 29/8

Hence the five rational numbers between 3 and 4 are 7/2, 13/4, 25/8, 15/4, and 29/8

hope this helps you!!

Answer 2

Step-by-step explanation:

Find five rational numbers between 3 and 4 :-

$</p><p></p><p>{\huge{\bf{\underline{\fbox{\red{Given :-}}}}}} \\ </p><p>$

• Two numbers are 3 and 4

$\\ \\ {\huge{\bf{\underline{\fbox{\pink{To find out :-}}}}}}$

• We need to find a rational number between 3 and 4

$\\ \\ {\huge{\bf{\underline{\fbox{\purple{Solution:-}}}}}}$

Let the two given numbers be a and b respectively a= 3 and b=4,

${\bold{We \: know \: that \: the \: rational \: number \: between \: a \: and \: b \: is \: given \: by \: \frac{a + b}{2}}}$

So the rational number between 3 and 4 = (3+4)/2 = 7/2

Then, Rational number between 3 and 7/2 = [3+(7/2)]/2 = 13/4

Then Rational number between 13/4 and 3 =[(13/4) + 3]/2 = 25/8

Then Rational number between 4 and 7/2 =[4+(7/2)]/2 = 15/4

Then Rational number between 13/4 and 4 =[(13/4) + 4]/2 = 29/8

Hence the five rational numbers between 3 and 4 are 7/2, 13/4, 25/8, 15/4, and 29/8