Find (m + n) ÷ (m – n), if
(i) m = 2/3, n = 3/2
(ii) m = 2/5, n = 1/2
(iii) m = 5/4, y = -1/3
Answers
Step-by-step explanation:
Given:-
(i) m = 2/3, n = 3/2
(ii) m = 2/5, n = 1/2
(iii) m = 5/4, y = -1/3
To find:-
Find (m + n) ÷ (m – n) ?
Solution:-
I) Given that m = 2/3 and n = 3/2
m+n = (2/3)+(3/2)
LCM of 3 and 2 = 6
=> (4+9)/6
=> 13/6
m+n = 13/6
m-n = (2/3)-(3/2)
=> (4-9)/6
=> -5/6
m-n = -5/6
The value of (m + n) ÷ (m – n)
=> (13/6)÷(-5/6)
=> (13/6)/(-5/6)
=> (13/6)×(-6/5)
=> 13/-5
=> -13/5
(m + n) ÷ (m – n) = -13/5
ii) Given that m = 2/5 and n = 1/2
m+n = (2/5)+(1/2)
LCM of 5 and 2 = 10
=> (4+5)/10
=> 9/10
m+n = 9/10
m-n = (2/5)-(1/2)
=> (4-5)/10
=> -1/10
m-n = -1/10
The value of (m + n) ÷ (m – n)
=> (9/10)÷(-1/10)
=> (9/10)/(-1/10)
=> (9/10)×(-10/1)
=> 9/-1
=> -9
(m + n) ÷ (m – n) = -9
iii)Given that m = 5/4 and y = -1/3
m+n = (5/4)+(-1/3)
LCM of 4 and 3 = 12
=> (15-4)/12
=> 11/12
m+n = 11/12
m-n = (5/4)-(-1/3)
=> (15+4)/12
=> 19/12
m-n = 19/12
The value of (m + n) ÷ (m – n)
=> (11/12)÷(19/12)
=> (11/12)×(12/19)
=> 11/19
(m + n) ÷ (m – n) = 11/19
Answer:-
The value of (m + n) ÷ (m – n) of the following
I) -13/5
ii)-9
iii)11/19
Step-by-step explanation:
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