find five rational number between -2/3 & -1/3
Answers
Answer:
-3/8, -5/12, -11/24, -1/2 and -13/24.
Step-by-step explanation:
Since the denominator is same so we don't have to use LCM, but if they were not same we had to use LCM and after finding the new denominator we would have to multiple the numerator with the number which if we multiple the original denominator would make this new denominator if you can understand me.
so as I was saying, the denominator is same so we don't have to use LCM .
After that we multiple both -2/3 & -1/3 with 2 and we continue to do so until we get the numbers which have 5 rational numbers between them.
= (-2/3)×2 & (-1/3)×2
= -4/6 & -2/6
= (-4/6)×2 & (-2/6)×2
= -8/12 & -4/12
= (-8/12)×2 & (-4/12)×2
= -16/24 & -8/24
And the five rational numbers between -2/3 & -1/3 are -9/24, -10/24, -11/24, -12/24 and -13/24.
so the answer is -3/8, -5/12, -11/24, -1/2 and -13/24.
I hope it helps you and you could understand it.
please double check if any mistakes, I'm not that good in maths but gave it a try.
Thank you!