Given expression = 2x + y / x - 2y
Dividing Num and Denom by y we get.
= [2(x/y) + 1] / [(x/y) - 2] = (2 x 3 + 1) / (3 - 2) = 7/1 = 7
[ ? x/2y = 3 / 2 ?x/y = (3 / 2 x 2) = 3 ]
Given Exp. = 4/7 + (2y - x)/(2y + x)
= 4/7 + [(2 - (x/y)] / [2 + (x/y)]
= 4/7 + [2 - 4/5] / [2 + 4/5]
= 4/7 + ( 6/5 x 5/14 )
= 4/7 + 3/7
= 1
Let 50 / N = N / (25/2)
? N2 = 50 x 25/2 = 625
? N = ?625 = 25
Given expression = 15/2 -[9/4 ÷ {5/4 - 1/2(3/2 - 1/3 - 1/6)}]
= 15/2 -[9/4 ÷ {5/4 - 1/2 x 1}]
= 15/2 -[9/4 ÷ {5/4 - 1/2}]
= 15/2 -[9/4 ÷ 3/4] = 15/2 - [9/4 x 4/3]
= (15/2 - 3)
= 9 / 2 = 41/2
Let 47/3 x 19/6 + 19/3 = 205 / 18 + N
Then, N = 893/18 + 19/3 - 205/18
? N = 893 + 114 - 205 / 18
? N = 802 / 18 = 445/9
Let 5/6 ÷ 6/7 x N - 8/9 ÷ 8/5 + 3/4 x 10/3 = 25 / 9
Then, 5/6 x 7/6 x N - 8/9 x 5/8 + 5/2 = 25/9
? 35N / 36 = 25/9 + 5/9 - 5/2
? 35N / 36 = (50 + 10 - 45) / 18 = 5/6
? N = (5/6 x 36/35) = 6/7
Given expression = (a3 + b3) / (a2 + b2 - ab)
= (a + b)(a2 + b2 - ab) / (a2 + b2 - ab)
= (a + b) = (885 + 115)
= 1000
Give expression
= 70/17 ÷ 7/5 x 68/33
= 70/17 x 5/7 x 68/33
= 200/33
= 62/33
Given expression = (3a + 2b) / (3a - 2b)
= [3(a/b) + 2] / [3(a/b) - 2]
= [3 x 1/3 + 2] / [3 x 1/3 - 2]
= 3 / -1
=-3
Given expression = 5/3 x 7/5 x 9/7 x ... x 1003/1001
= 1003/3
Number of 1/8 s = (75/2) / (1/8) = (75/2) x 8 = 300
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