find three rational numbers between eachof the following rational numbers. a. a.1/2and 5/6 b. 2/3 and 3/4 c. 2/7and 3/8
Answers
Answer:
a- 4/6
b- 81/120
c- 17/56
Step-by-step explanation:
(a). 1/2= 3/6 (multiplying with 3/3)
number between 3/6 and 5/6 is 4/6
(b). 2/3= 8/12= 80/120
3/4= 9/12= 90/120
number between 80/120 and 90/120 is 81/120
(c). 2/7= 16/56
3/8= 21/56
number between 16/56 and 21/56 is 17/56
Step-by-step explanation:
a) 1/2 and 5/6
1/2 can be written as 3/6
therefore,
n + 1 = 3 + 1 = 4 ( n is the rational no.s required )
It becomes,
3/6 × 4/4 and 5/6 × 4/4
or 12/24 and 20/24
therefore, the rational no.s are,
13/24, 14/24, .... 18/24 and 19/24.
b) 2/3 and 3/4
2/3 and 3/4 can be written as 8/12 and 9/12
therefore,
8/12 × 4/4 and 9/12 × 4/4
or 32/48 and 36/44
therefore, the rational no.s are
33/48, 34/48 and 35/48.
c) 2/7 and 3/8
2/7 and 3/8 can be written as 16/56 and 21/56
therefore, the rational no.s are
17/56, 18/56 19/26 or 20/26.