問題如下,要簡便運算和過程

2022-06-27 10:26:28 字數 2019 閱讀 3540

1樓:兗礦興隆礦

7/18*4又1/2+1/6/(13又1/3)-3又3/4/(5/16)*2又7/8

=7/18*9/2+1/6*3/40-15/4*16/5*23/8=7/4+1/80-69/2

=141/80-69/2

=(141-2760)/80

=-2619/80

2樓:閎方

( 1998 / 17 x 119 / 54 ) / ( 29 x 0.5 + 5.7 x 2 )

= [ ( 1998 x 119 ) / ( 17 x 54 ) ] / ( 14.5 + 11.4 )

= [ ( 222 x 9 x 17 x 7 ) / ( 17 x 9 x 6 ) ] / ( 4.9 + 21 )

= [ ( 222 x 7 ) / 6 ] / ( 7 x 3.7 )

= [ ( 111 x 7 ) / 3 ] / ( 7 x 3.7 )

= ( 37 x 7 ) / ( 7 x 3.7 )

= 10

[ (2+ 2/3) + y ] / (3+ 3/4) - 0.4 = 32/45

( 8/3 + y ) / ( 15/4 ) - 2/5 = 32/45

( 8/3 + y )( 4/15 ) = 32/45 + 18/45

32/45 + (4/15)y = 32/45 + 18/45

( 4/15 )y = 18/45

( 2/15 )(2y) = ( 2/15 )( 9/3 )

2y = 3

y = 1.5

16.8 x [ (2.4+ 1/3) / 1.12 - (1+ 5/6) ]

= 8 x 2.1 x [ (7.2/3 + 1/3) / 1.12 - 11/6 ]

= 8 x 2,1 x ( 8.2 / 3 ) x 100/112 - 8 x 2,1 x 11/6

= 8 x 7 x 82 / (56 x 2) - 4 x 2.1 x 11 / 3

= 41 - 4 x 11 x 0.7

= 41 - 30.8

= 10.2

8.4 x [ (1.2 + 3+ 1/3 ) / 3.4 - 1/2 ]

= 8.4 x [ ( 3.6/3 + 10/3 ) / 1.7 - 1 ] / 2

= 4.2 x [ 13.6 / 5.1 - 5.1 / 5.1 ]

= 4.2 x 8.5 / 5.1

= 2.1 x 17 / ( 17 x 0.3 )

= 7( 1+ 7/10 ) / [ (2+ 1/3) - 12/29 x ( 1.7 + 1+ 1/5 ) ] x 0.16

= 1.7 / [ 7/3 - 12/29 x ( 1.7 + 1.2 ) ] x 0.16

= 1.7 / [ 7/3 - 1.2/2.9 x 2.9 ] x 0.16

= 1.7 / [ 7/3 - 1.2 ] x 0.16

= 1.7 / [ 7/3 - 3.6/3 ] x 0.16

= 1.7 / ( 3.4 / 3 ) x 0.16

= 1.7 / 3.4 x 0.16 / 3

= 1/2 x 0.16 / 3

= 0.08 / 3

= 0.4 / 15

= 2 / 75

(1/2 + 1/3 + 1/4 +……+ 1/10) + (2/3 + 2/4 + 2/5 +……+ 2/10) + (3/4 + 3/5 + 3/6 +……+ 3/10) +……+ (8/9 + 8/10) + 9/10

= 1/2 +(1+2)/3 +(1+2+3)/4 +(1+2+3+4)/5+……+(1+2+3+……+8)/9 +(1+2+3+4+……+9)/10

= 1/2 + 3/3 + 6/4 + 10/5 +……+ 36/9 + 45/10

= 0.5 + 1 + 1.5 + 2 + 2.5 + 3 + 3.5 + 4 + 4.5

= 0.5 x 5 + (1+2+3+4) x 2

= 2.5 + 20

= 22.5

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