Pls answer these questions: 1. what no. should be added to -7/8 to get 4/9 2.The sum of two rational numbers is -1/2. If one is 5/6 tell the another number About the author Jasmine
Step-by-step explanation: Solutions:– 1) Let the number should be added be X According to the given problem (-7/8)+X = 4/9 => X = (4/9)-(-7/8) => X = (4/9)+(7/8) LCM of 9 and 8 = 72 => X = [(4×8)+(7×9)]/72 => X = (32+63)/72 => X = 95/72 The required number = 95/72 Check:– (-7/8)+(95/72) => [(-7×9)+95]/72 => (-63+95)/72 => 32/72 => 4/9 Verified the given relation. __________________________________ 2) Given that One of the numbers be 5/6 Let the other number be X Their sum = (5/6)+X According to the given problem The sum of two ratioal numbers = -1/2 => (5/6)+X = -1/2 =>X = (-1/2)-(5/6) LCM of 2 and 6 = 6 => X = [(-1×3)-(5×1)]/6 =>X = (-3-5)/6 => X = -8/6 => X = -4/3 The required number = –4/3 Check:– (5/6)+(-4/3) => (5-8)/6 => -3/6 => -1/2 Verified the given relations in the given problem. Reply
Step-by-step explanation:
Solutions:–
1)
Let the number should be added be X
According to the given problem
(-7/8)+X = 4/9
=> X = (4/9)-(-7/8)
=> X = (4/9)+(7/8)
LCM of 9 and 8 = 72
=> X = [(4×8)+(7×9)]/72
=> X = (32+63)/72
=> X = 95/72
The required number = 95/72
Check:–
(-7/8)+(95/72)
=> [(-7×9)+95]/72
=> (-63+95)/72
=> 32/72
=> 4/9
Verified the given relation.
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2)
Given that
One of the numbers be 5/6
Let the other number be X
Their sum = (5/6)+X
According to the given problem
The sum of two ratioal numbers = -1/2
=> (5/6)+X = -1/2
=>X = (-1/2)-(5/6)
LCM of 2 and 6 = 6
=> X = [(-1×3)-(5×1)]/6
=>X = (-3-5)/6
=> X = -8/6
=> X = -4/3
The required number = –4/3
Check:–
(5/6)+(-4/3)
=> (5-8)/6
=> -3/6
=> -1/2
Verified the given relations in the given problem.