1. Simplify: 2 + -5/6
2. Find a rational number between -2/3 and 1/4
3. Find (x -y) divided by (x+y)if x = 3/4, y=4/3
4. What is the rational number we get by multiplying 6/11 by the additive inverse of 11/18
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Answer:
1. 2 -5/6 Answer= 1 1/6 = 7/6
2. Using mean method
Let the rational number be R1
R1 =1/2 (-2/3 + 1/4 )
LCM = 12
= 1/2(-8+3/12)
=1/2×-5/12
Answer = -5/24
3.(x-y) = (3/4-4/3)
= (9/12-16/12)
= -7/12
(x+y) = (9/12+16/12)
= 25/12
(x-y)÷(x+y) = -7/12 ÷ 25/12
= -7/12×12/25
Answer = -7/25
4. Additive inverse of 11/18 = -11/18
=6/11×-11/18
= -6/18 = -1/3
Answer = -1/3
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