81. Given expression = 1/5 x 6 + 1/6 x 7 + 1/7 x 8 + …. + 1/24 x 25.
= (1/5 – 1/6) + (1/6- 1/7) + (1/7 – 1/8) +….. + (1/24 – 1/25)
= (1/5 – 1/25) = 4/25 = 0.16.
82. w/y =0.04/1.5 = 4/150 -2/75 y-x/y-x =1- x/y/1 +x/y = 1 – 2/75/1+2/75 = 73/77.
83. Given expression = 35.7 –(3 + 1/10/3) – (2+1/5/2) = 35.7 – (3 + 3/10) – ( 2 + 2/5)
= 35. – 33/10- 12/5 = 35.7 –(33/10 +12/5) = 35.7 – 57/10 – 57/10 = 35.7 – 5.7
= 30.
84. Given expression=(0.3333)/0.2222) x (0.1667) (0.8333)/(0.6666) (0.1250) = 3333/2222 x
1/6 x 5/6 /2/3 x 125/1000
= (3/2 x 1/6 x 5/6 x 3/2 x8) = 5/2 = 2/50.
85. 3.6 x 0.48 x 2.5/0.12 x 0.09 x 0.5 = 36 x 48 x 250 / 12 x 9 x 5 = 800.
86. 0.0203 x 2.92 /0.0073 x 14.5 x 0.7 = 203 x 292 / 73 x 145 x 7 =4/5 = 0/8.
87. 3.157 x 4126 x 3.198 / 63.972 x 2835x 121 = 3.2 x 4126 x 3.2 / 64 x 2835 = 32 x 4126 x 32
/ 64 x 2835 x 1/100.
= 6016 / 2835 x 1/100 = 23.28 /100 = 23.28/100 = 0.23 = 0.2.
88. 489. 1375 x 0.0483 x 1.956 / 0.0873 x 92.581 x 99.749 = 489 x 0.05 x 2 /0.09 x 93 x 100 = 489/9 x 93 x 10.
= 163/279 x 1/10 = 0.58 / 10 = 0.058 = 0.06.
89. 241. 6 x 0.3814 x 6.842 / 0.4618 x 38.25 x 73.65 = 240 x 0.38 x 6.9 / 0.46 x 38 x 75 = 240
x 38 x 69/46 x 38 x 75 x 1/10.
=(24/5 x 1/10) =4.8/10 = 0.48.
So, the value is close to 0.4.
90. Given expression = (0.2 x 0.2 + 0.01) /(0.1 x 0.1 + 0.02) = 0.04 + 0.04 + 0.01 / 0.01 + 0.02 = 0.05/0.03 = 5/3.
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