find four rational number between -5 by 12 and -1 by 12
Answers
3/5 और 4/5 के बीच में पाँच परिमेय संख्याएँ ज्ञात कीजिए । के बीच पांच तर्कसंगत संख्या खोजें -32and53. Find five rational numbers between 35 and 23. के बीच पांच तर्कसंगत संख्या खोजें 45 तथा 76
Step-by-step explanation:
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Step-by-step explanation:
Given :-
-5/12 and -1/12
To find :-
Find 4 rational numbers between -5/12 and -1/12
Solution:
General Method :-
Given numbers are -5/12 and -1/12
Required rational numbers = 4
On writing the denominator as (4+1) = 5 multiple
-5/12 = (-5/12)×(5/5) = (-5×5)/(12×5) = -25/60
-1/12 = (-1/12)×(5/5) = (-1×5)/(12×5) = -5/60
The rational numbers between them are -24/60, -23/60,-22/60,-21/60,...,-4/60
Mean Method:-
We know that
The rational number between the two numbers a and b is (a+b)/2
Let a = -5/12 and b = -1/12
The first rational number between them
=> [(-5/12)+(-1/12)]/2
=> [(-5-1)/12]/2
=> (-6/12)/2
=> -6/24 or -1/4
Let a = -5/12 and b = -1/4 the
The second rational number between them
=>[(-5/12)+(-1/4)]/2
=> [(-5-3)/12]/2
=> (-8/12)/2
=> -8/24
=> -1/3
Let a = -5/12 and b = -1/3
The third rational number between them
=> [(-5/12)+(-1/3)]/2
=> [(-5-4)/12]/2
=> (-9/12)/2
=> -9/24 or -3/8
Let a = -5/12 and b = -3/8 the
The fourth rational number between them
=>[(-5/12)+(-3/8)]/2
=> [(-10-9)/24]/2
=> (-19/24)/2
=> -19/48
Answer:-
The four rational numbers between the two numbers are -1/4, -1/3 , -3/8 , -19/48 by mean method.
The four rational numbers between the two numbers are 24/60, -23/60,-22/60,-21/60,...,-4/60 by general method.
Used formulae:-
The rational number between the two numbers a and b is (a+b)/2
Used Method:-
- Mean Method
- General Method