Advertisements
Advertisements
प्रश्न
Use the method of average to write 2 rational numbers between `14/5` and `16/3`
Advertisements
उत्तर
The average of a and b is `1/2("a" + "b")`
The average of `14/5` and `16/3` is C1 = `1/2(14/5 + 16/3)`
C1 = `1/2((42 + 80)/15)`
C1 = `122/30`
C1 = `61/15`
`14/5 < 61/15 < 16/3` ....(1)
The average of `14/5` and `61/15` is C2 = `1/2(14/5 + 61/15)`
C2 = `1/2 xx ((42 + 61)/15)`
C2 = `1/2 xx 103/15 = 103/30`
∴ `14/5 < 103/30 < 61/15` ....(2)
From (1), (2) we get, `14/5 < 103/30 < 61/15 < 16/3`
APPEARS IN
संबंधित प्रश्न
The product of two rational numbers is always a ________.
List five rational numbers between `-1/2 "and" 2/3`.
Which of the following pair represent the same rational number?
`(-7)/21 "and" 3/9`
Which of the following pairs represent the same rational number?
`(-2)/(-3) "and" 2/3`
Rewrite the following rational number in the simplest form:
`25/45`
Rewrite the following rational number in the simplest form:
`(-44)/72`
`5/10` lies between `1/2` and 1.
Find two rational numbers whose absolute value is `1/5`.
Which is greater in the following?
`3/4, 7/8`
‘a’ and ‘b’ are two different numbers taken from the numbers 1 – 50. What is the largest value that `(a - b)/(a + b)` can have? What is the largest value that `(a + b)/(a - b)` can have?
