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
Write four more rational numbers in the following pattern:
`(-3)/5, (-6)/10,(-9)/15, (-12)/20, ...`
Write four more rational numbers in the following pattern:
`(-2)/3, 2/(-3),4/(-6), 6/(-9)...`
Draw the number line and represent the following rational numbers on it:
`3/4`
Which of the following pairs represent the same rational number?
`(-5)/(-9) "and" 5/(-9)`
Rewrite the following rational number in the simplest form:
`(-8)/10`
Write the given rational numbers in ascending order:
`(-3)/5, (-2)/5, (-1)/5`
List any five rational numbers between the given rational numbers
−2 and 0
The product of two rational numbers is `(-14)/27`. If one of the numbers be `7/9`, find the other.
‘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?
