Question

Determine which rational number is greater in each case -4/3,-6/7

Answer 1

Step-by-step explanation:

5 rational number between 5/6 and 6/7

first we will same the denominator = 35/42 and 36/42

so, we add one in rational no. =5+1=6

according to question

 35/42 = 35 multiply by 42 and  multiply by 6

= 210/252 

like that, 36/42 =36 multiply by 6 and 42 multiply by 6

=216/252

so, 210/252 and 216/252

211/252, 212/252, 213/252, 214/252, 215/252

there are five rational number between 5/6 and 6/7

Read more on Brainly.in - https://brainly.in/question/1442448#readmore

Answer 2

First we will take out the LCM of 3 and 7

LCM=21

Now we will put the LCM in the rational numbers

-4/3= -4×7/3×7

= -28/21

= -6×3/7×3

= -18/21

; -4/3= -28/21

-6/7= -18/21

-28/21 < -18/21

-4/3 < -6/7

So now it is clear that -6/7 is greater than -4/3.

Hope this answer will help you.