Question

find 5 rational numbers between -3 and -2 ​

Answer 1

Answer:

The five rational numbers between -3 and -2 are : -  -13/6, -14/6, -15/6, -16/6, -17/6.

Step-by-step explanation:

First of all convert both rational numbers into fractions by  placing 1 in  denomnator that is :- -3/1 & -2/1

now, multiply the fractions with the sucessor of the  no of required rational no that is :- 6

thus:- -3/1*6/6= -18/6

         -2/1*6/6= -12/6

so, the rational numbers between -2 & -3 are -13/6, -14/6, -15/6, -16/6, -17/6.

Answer 2

Answer:

Step-by-step explanation:

Since we want the five rational numbers between -3 and -2

The numbers of denominator 2+3+1=6

so

$\frac{-2}{1}$ × $\frac{6}{6}$  = $\frac{-12}{6}$

$\frac{-3}{1}$ × $\frac{6}{6}$  = $\frac{-18}{6}$

$-18 < -17 < -16 < -15 < -14 < -13 < -12$

$\frac{-18}{6} < \frac{-17}{6} < \frac{-16}{6} < \frac{-15}{6} < \frac{-14}{6} < \frac{-13}{6} < \frac{-12}{6}$

$\frac{-18}{6} , \frac{-17}{6} , \frac{-16}{6} ,\frac{-15}{6} , \frac{-14}{6} , \frac{-13}{6} ,\frac{-12}{6}$

Hence the five rational numbers between -3 and -2

$\frac{-17}{6} , \frac{-16}{6} ,\frac{-15}{6} , \frac{-14}{6} , \frac{-13}{6}$

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