Question

find 7 rational numbers b/w -7/6 ,7/8​

Answer 1

Step-by-step explanation:

-7/6=-56/48

7/8=42/48

1/48,2/48,3/48,4/48,5/48,6/48,7/48

Answer 2

Step-by-step explanation:

Given:-

The numbers are -7/6 and 7/8

To find:-

Find 7 rational numbers between -7/6 and 7/8

Solution:-

Given numbers are -7/6 and 7/8

Required rational numbers = 7

On writing them into equivalent rationals

LCM of 6 and 8 = 24

(-7/6)×(4/4)

=(-7×4)/(6×4)

=-28/24

and (7/8)×(3/3)

=(7×3)/(8×3)

=21/24

The rational numbers between -7/6 and 7/8

are -27/24 , -26/24,...,17/24,18/24,19/24,20/24

(or)

Given numbers are -7/6 and 7/8

Required rational numbers = 7

On writing the denominator as 7+1 = 8 or multiple of 8

Now,

(-7/6)×(8/8)

=(-7×6)/(8×8)

=-56/64

and

(7/8)×(8/8)

=(7×8)/(8×8)

=56/64

The required numbers are -55/64,...,48/64,49/64,50/64,51/64,52/64,53/64,54/64,55/64.

Answer:-

The required numbers are -55/64,...,48/64,49/64,50/64,51/64,52/64,53/64,54/64,55/64.

Note:-

There are infinitely rational numbers between any two numbers.This Property is called densitive Property