简便算∶4又3／4÷5／18－3.6＋6.25＋3又3／5

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4又3／4÷5／18－3.6＋6.25＋3又3／5
=19/4÷5/18-3.6+3.6+6.25
=17.1+6.25
=23.35

41又1／3×3／4＋51又1／4×4／5＋61又1／5×5／6
＝124/3x3/4+205/4x4/5+306/5x5/6
=31+41+51
=123

7／15×3／8+1／15×7／16+1／15×3又1／2
＝7/15x3/8+7/15x1/16+7/15x1/2
=7/15x(3/8+1/16+1/2)
=7/15x(6/16+1/16+8/16)
=7/15x15/16
=7/16

1又3／7×﹙3又1／13+1又9／11﹚×0.7×28又3／5
＝10/7x7/10x143/5x(40/13+20/11)
=143/5x40/13+143/5x20/11
=88+52
=140

2012×2010／2011
＝2011x2010/2011+1x2010/2011
=2010+2010/2011
=2010又2010/2011

1997×0.3／1999×0.5+1.2／1999
＝
1001×2又3／11+998÷998又998／999﹢9又1／1000
＝1001x24/11+998÷（998x(1+1/999)）+9又1／1000
=2184+999/1000+9又1／1000
=2184+10
=2194

3／2+5／6+7又7／12+4又9／20+13又11／30+6又13／42
＝(7+4+13+6)+1+1/2+1/2+1/3+1/3+1/4+1/4+1/5+1/5+1/6+1/6+1/7
=30+1+1+2/3+1/2+2/5+1/3+1/7
=32+1+1/2+2/5+1/7
=33+35/70+28/70+10/70
=34又3/70

1/3+3/4+2/5+5/7+7/8+9/20+10/21+11/24+19/35
=(1/3+3/4+7/8+11/24)+(2/5+9/20)+(5/7+10/21+19/35)
=(8/24+18/24+21/24+11/24)+(8/20+9/20)+(75/105+50/105+57/105)
=29/12+17/20+26/15
=145/60+51/60+104/60
=300/60
=5

﹙1／2+1／6+1／12+1／20+1／30+1／42+1／56﹚÷1又1／7
＝（1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8）÷8/7
=(1-1/8)x7/8
=7/8x7/8
=49/64

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4x^4+4x²+4=5x²
x^4+x ²+1=5/4x²
x²/(x^4+x²+1)=4/5