find 4 rational numbers between the following given two rational numbers a) 5/6 b)2/3 b)2/3,4/5 c)-2/3,5/3 d)-7/6-7/6 e)4/3
Answers
Answer:
A) 21/30, 22/30, 23/30, 24/30
B) 31/45, 32/45, 33/45, 34/45, 35/45
C) -1/3, 0/3 (or) 0, 1/3, 2/3, 3/3 (or) 1, 4/3
D) -6/6 (or) -1, - 5/6, - 4/6, - 3/6, - 2/6..... 7/6, 8/6
Step-by-step explanation:
A) 5/6, 2/3
(First take the lcm of the denominators of both the rational numbers)
Lcm of 6 and 3 = 6
(so, make both denominators = 6)
5/6
2/3 = 4/6 (3*2=6 2*2=4)
(Now multiply both the denominators and the numerators by 5)
5/6 = 25/30
2/3 = 20/30
So 4 rational numbers that lie in between are:
21/30, 22/30, 23/30, 24/30
B) similarly,
2/3, 4/5
Lcm of 3 and 5 = 15
2/3 = 10/15
4/5 = 12/15
(Multiply to get suitable multiples of the numbers)
10/15 = 30/45 (10*3=30. 15*3=45)
12/15 = 36/40. (12*3=36. 15*3=45)
Rational numbers that lie in between are:
31/45, 32/45, 33/45, 34/45, 35/45
C) -2/3, 5/3
(The denominators are already equal and direct answer can be written without finding multiples.)
So rational numbers that lie in between are:
-1/3, 0/3 (or) 0, 1/3, 2/3, 3/3 (or) 1, 4/3
D) -7/6, 4/3
Lcm of 6 and 3=6
-7/6
4/3 = 8/6
The rational numbers that lie in between are:
-6/6 (or) -1, - 5/6, - 4/6, - 3/6, - 2/6..... 7/6, 8/6.
Hope it helps.
Some questions were incomplete/confusing because of punctuation please make sure if the questions that I gave the answers for were the ones u were looking for.. If not I've mentioned the steps to do these type of questions.
Answer:
21/30 22/30 23/30 24/30