Given expression = ?0.0009 / ?0.01
= ?0.0009 / 0.0100
= ?9 / 100
= ?9 / ?100
= 3 / 10
= 0.3
?.00059049 = ?59049/100000000
= ?59049 / 10000
= 243/10000
= 0.0243
Let , ?1296 / N = N / 2.25
Then, 36/N = N /2.25 or N2= 36 x 225/100
? N = ?(36 x 225) /100 = (6 x 15) / 10 = 9
Given expression = ?15625 + ?15625/100 + ?15625/10000
= (125 + 125/10 + 125/100)
= (125 + 12.5 + 1.25)
= 138.75
Sum of decimal places being equal in Num. and Denom. of given expression
So ,Given expression is equivalent to
?(324 x 81 x 4624) / (15625 x 289 x 729 x 64)
= (18 x 9 x 68) / (125 x 17 x 27 x 8)
= 3/125
= 0.024
?324/ 1.5 = N / ?256
? 18/1.5 = N/16
? N = (18 x 16) / 1.5 = (18 x 16 x 10) / 15
= 192
Given expression = ?0.01 + 0.08
=?0.09
= 0.3
?0.9 = ?0.90
= ?90/100
= ?90/10
= 9.4/10
= 0.94
(?24 + ?216) / ?96
= (?4 x 6 + ?36 x 6 ) / ?16 x 6
= 2?6 + 6?6
= 8?6 / 4?6
= 2
Exp. = 1 / (?9 - ?8)
= [1 / (?9 - ?8)] x [(?9 + ?8) / (?9 + ?8)]
= (3 + 2?2 ) / (9 - 8)
= (3 + 2?2)
Exp. = ?0.16 / 0.40
= ?16 / 40
= ?4 / 10
= ?0.4
= ?0.40
= ?40 / 100
= ?40 / 10
= 6.3 / 10
= 0.63
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