Advertisements
Advertisements
Question
`5/6` lies between `2/3` and 1.
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
First, we convert the given rational numbers with denominator as 6, we get
`2/3 = 2/3 xx 2/2 = 4/6`
`1 = 1 xx 6/6 = 6/6`
∵ `4/6 < 5/6 < 6/6`
∴ `2/3 < 5/6 < 1`
Therefore, `5/6` lies between `2/3` and 1.
Notes
We know that, if a and b are two rational numbers, then `(a + b)/2` is a rational number between a and b such that `a < (a + b)/2 < b`.
APPEARS IN
RELATED QUESTIONS
Find five rational numbers between `2/3 " and " 4/5`
Find five rational numbers between `(-3)/2 " and " 5/3`
Find ten rational numbers between `3/5 " and " 3/4`
Which of the following pairs represent the same rational number?
`(-3)/5 "and" (-12)/20`
Fill in the boxes with the correct symbol out of >, < and =.
`(-8)/5square(-7)/4`
Fill in the box with the correct symbol out of >, < and =.
`5/(-11)square(-5)/11`
The product of two rational numbers is\[\frac{- 8}{9} .\] If one of the numbers is \[\frac{- 4}{15},\] find the other.
The two rational numbers lying between –2 and –5 with denominator as 1 are ______ and ______.
The product of two rational numbers is –7. If one of the number is –5, find the other?
The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages, locate the square where the row for one village and the column for the other village intersect.
If you drove from Himgaon to Sonapur and then from Sonapur to Rawalpur, how far would you drive?
