Complete the following table by finding the sums:
+ -1/9 4/11 -5/6
2/3
-5/4 -39/44
-1/3
Solution:
We have to complete the table by finding the sums.
Let
Now, a = 2/3 + (-1/9)
a = 2/3 - 1/9
= [9(2) - 1(3)] / 3(9)
= (18 - 3)/27
= 15/27
a = 5/9
b = 2/3 + 4/11
= [2(11) + 4(3)] / 3(11)
= (22+12)/33
b = 34/33
c = 2/3 + (-5/6)
= 2/3 - 5/6
= [2(6) - 5(3)]/3(6)
= (12 - 15)/18
= -3/18
c = -1/6
d = -5/4 + (-1/9)
= -5/4 - 1/9
= -(5/4 + 1/9)
= -[5(9) + 1(4)]/4(9)
= -(45 + 4)/36
d = -49/36
e = -5/4 + (-5/6)
= -5/4 - 5/6
= -(5/4 + 5/6)
= -[5(6) + 4(5)]/4(6)
= -(30 + 20)/24
= -50/24
e = -25/12
f = -1/3 + (-1/9)
= -1/3 - 1/9
= -(1/3 + 1/9)
= -[1(9) + 1(3)]/3(9)
= -(9 + 3)/27
= -12/27
f = -4/9
g = -1/3 + 4/11
= [-1(11) + 3(4)]/3(11)
= (-11+12)/33
g = 1/33
h = -1/3 + (-5/6)
= -(1/3 + 5/6)
= -[1(6) + 3(5)]/3(6)
= -(6+15)/18
= -21/18
h = -7/6
✦ Try This: Find the reciprocal of the following: (4 × 8/9) - (3 × 2/9)
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Problem 87
Complete the following table by finding the sums: + -1/9 4/11 -5/6 2/3 -5/4 -39/44 -1/3
Summary:
The completed table by finding the sum is mentioned above
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