Number of 1/8 s = (75/2) / (1/8) = (75/2) x 8 = 300
Given expression = 5/3 x 7/5 x 9/7 x ... x 1003/1001
= 1003/3
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
Give expression
= 70/17 ÷ 7/5 x 68/33
= 70/17 x 5/7 x 68/33
= 200/33
= 62/33
Given expression = (a3 + b3) / (a2 + b2 - ab)
= (a + b)(a2 + b2 - ab) / (a2 + b2 - ab)
= (a + b) = (885 + 115)
= 1000
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 ]
Let N of 1/12 = 3/48.
Then, N = 3/48 x 12 = 3/4
? N x 17/8 - N x 8/17 =225
? 225 x N / 136 = 225
? N = (225 x 136) / 225 = 136
? 3N/4 - 3N/14 =150
? 15N/28 = 150
? N = (150 x 28) /15 = 280
? N x N x 1/N = 1826/27
? N3 = 512/27
? N3= (8/3)3
? N = 8/3 = 22/3
? 7/4 + 5/2 + 67/12 + 10 + 9/4 = (21 + 30 + 67 + 40 + 27/12) = 185/12
This is nearly greater than 15. Let required fraction be x.
Then, 185/12 - x = 15
? x = (185/12) - 15
= 5/12
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