资源简介 专项训练04《分数四则混合运算》(5个技巧)技巧一:有除法变乘法。方法点拨:遇到除法变乘法。类型一:变连乘。1.【分析】÷3变,同级交换约分【详解】【答案】2.【详解】【答案】3.【详解】【答案】4.【详解】【答案】5.【详解】【答案】6.【详解】【答案】7.【详解】【答案】8.【详解】【答案】9.【详解】【答案】类型二:变有相同因数。1.【分析】两项都,提取公因数【详解】【答案】2.【详解】【答案】3.【详解】【答案】4.【详解】【答案】5.【详解】【答案】6.【详解】【答案】7.【详解】【答案】类型三:变几个数相加减乘一个数。1.【详解】【答案】2.【详解】【答案】3.【详解】【答案】4.【详解】【答案】5.【详解】【答案】6.【详解】【答案】7.【详解】【答案】8.【详解】【答案】9.【详解】【答案】类型四:没有运算定律可以用 按顺序计算。1.【详解】括号:;【答案】2.【详解】【答案】技巧二:有括号的先算括号里面的,括号里面有多步计算的,先算乘除后算加减。1.【详解】括号:;【答案】2.【详解】小括号:;中括号:;【答案】3.【详解】先除:;括号:;【答案】4.【详解】提取:;【答案】5.【详解】括号:;【答案】6.【详解】小括号:;除法:;【答案】7.【详解】小括号:;中括号:;【答案】8.【详解】小括号:;中括号:;【答案】9.【详解】小括号:;中括号:;【答案】10.【详解】小括号:;中括号:;【答案】11.【详解】后两项合并:;括号:;【答案】12.【详解】括号内除法:;【答案】13.【详解】先乘:;括号:;【答案】14.【详解】除法:;括号:;【答案】技巧三:无括号的,按运算顺序计算。1.【详解】,;【答案】2.【详解】;【答案】3.【详解】;【答案】4.【详解】【答案】5.【详解】;【答案】6.【详解】【答案】7.【详解】交换:【答案】8.【详解】;【答案】9.【详解】;【答案】10.【详解】同分母结合:【答案】11.【详解】;【答案】12.【详解】;【答案】技巧四:算式中,先化成最简分数,结果是,分数部分必须是真分数。1.,【详解】【答案】2.,【详解】【答案】3.,【详解】【答案】4.,【详解】【答案】5.【详解】,【答案】6.【详解】,【答案】7.【详解】,【答案】8.【详解】,【答案】技巧五:易错对比练习。×241.【详解】【答案】2.【详解】【答案】3.【详解】【答案】4.【详解】【答案】5.【详解】交换:【答案】6.【详解】分配:【答案】7.【详解】【答案】8.【详解】【答案】9.【详解】交换分子:【答案】10.【详解】括号,【答案】11.【详解】【答案】12.【详解】【答案】13.【详解】前两项,后项,合计【答案】专项训练 04《分数四则混合运算》(5个技巧)技巧一:有除法变乘法。方法点拨:遇到除法变乘法。类型一:变连乘。127 ÷ 3 ×14 9 ÷ 3÷ 1 4 4 4 45 10 7 5 5 × 7÷ 5 × 712÷3 × 13 15 7 3 74 15 × 13 16 × 8÷ 16 ×3 6 2 28 7 × 5÷ 917÷ 7 ÷ 24 4 7 1 5 8 1 425 15 35 5÷ 10÷ 4 6 × 13÷ 6÷ 391.12÷ 3 × 147 5【分析】÷3 变× 13,同级交换约分【详解】= 127 ×1 143 × 5 =4 × 147 5 =85【答案】852. 9 3 110÷ 7÷ 5第 1 页 共 20 页【详解】= 9 7 21 2110 × 3 × 5 = 10 × 5 = 2【答案】2123.45 ×47÷45 ×47【详解】= 4 4 45÷ 5 × 7 ×47 = 1 ×16 1649 = 49【答案】16494.12÷3 134 × 15 ×1513【详解】= 1 42 × 3 ×1315 ×15 2 213 = 3 × 1 = 3【答案】235. 716 ×3÷ 7 × 38 16 8【详解】= 7 ÷ 7 × 3 × 3 9 916 16 8 8 = 1 × 64 = 64【答案】 9646.6 2 27 × 5÷ 9【详解】= 6 × 2 97 5 × 2 =67 ×9 545 = 35【答案】54357.17÷ 7 ÷ 2425 15 35【详解】= 17 15 35 17 3 35 1725 × 7 × 24 = 5 × 7 × 24 = 8【答案】178第 2 页 共 20 页8.4 7 15÷ 10÷ 4【详解】= 45 ×107 × 4 =87 × 4 =327【答案】3279.56 ×8 113÷ 6÷439【详解】= 56 ×8 39 8 3913 × 6 × 4 = 5 × 13 × 4 = 5 × 6 = 30【答案】30类型二:变有相同因数。4 ÷ 3+ 9 ÷ 3 6÷ 4 1 × 6 3÷ 3+ 2 × 113 7 13 7 7 5 4 7 5 5 338÷ 14 +1 × 5 1 × 814 8 4 9+14÷ 98 1 9 117÷ 23 + 23 × 17+ 23336 ÷ 8 + 336 ÷ 871. 413÷3 9 37+ 13÷ 7【分析】两项都× 73,提取公因数【详解】= 4 × 7+ 9 × 7 = 4+9 7 7 713 3 13 3 13 × 3 = 1 × 3 = 3第 3 页 共 20 页【答案】732.6 4 1 67÷ 5 4 × 7【详解】= 67 ×5 6 × 1 = 6 × 5 1 = 64 7 4 7 4 7 × 1 =67【答案】673.35÷ 3 +2 15 × 3【详解】= 3 1 2 1 3+2 1 15 × 3+ 5 × 3 = 5 × 3 = 3【答案】134.3÷ 14 + 1 × 58 14 8【详解】= 3 × 1 5 1 3+5 18 14+ 8 × 14 = 8 × 14 = 1 ×1 114 = 14【答案】 1145.1 8 14 × 9+ 4÷ 9【详解】= 1 × 8+ 1 × 1 = 1 × 9 = 14 9 4 9 4 9 4【答案】146. 817÷ 23 +123 ×9 117+ 23【详解】= 8 × 1 + 9 × 1 + 1 × 1 = 1 × 8+9+17 34 1 217 23 17 23 23 23 17 = 17 × 23 = 23【答案】 2237.336 ÷ 8 + 336 ÷ 87第 4 页 共 20 页【详解】= 336 × 1 7 1+78+ 336 × 8 = 336 × 8 = 336 × 1 = 336【答案】336类型三:变几个数相加减乘一个数。( 3+ 14 6 1 1 1 11 3 1 7 3 11 13 ) ÷ 12 ( 3+ 12 4 ) ÷ 24 8+ 4+ 24 ÷ 24(16 4 ) ÷ 8 7 5 1 5 1 1 15 15 ( 12 36 ) ÷ 36 ( 12+ 4 16 ) ÷ 48( 5 7 2 1 3 1 2 1 4 5 59 18+ 3 ) ÷ 54 ( 4 2+ 5 ) ÷ 20 ( 27+ 36 ) ÷ 91. 3 1 1 14+ 6 3 ÷ 12【详解】= 3 × 12 + 14 6 × 12 13 × 12 = 9 + 2 4 = 7【答案】72. 1+ 11 3 13 12 4 ÷ 24【详解】= 13 × 24 +1112 × 24 34 × 24 = 8 + 22 18 = 14【答案】143. 7+ 38 4+1124 ÷124第 5 页 共 20 页【详解】= 7 3 118 × 24 + 4 × 24 + 24 × 24 = 21 + 18 + 11 = 50【答案】504. 16 45 ÷815【详解】= 16 × 15 4 × 158 5 8 = 30 32 =60 32 =572【答案】5725. 7 5 112 36 ÷ 36【详解】= 7 × 36 512 36 × 36 = 21 5 = 16【答案】166. 512+1 1 14 16 ÷ 48【详解】= 512 × 48 +1 × 48 14 16 × 48 = 20 + 12 3 = 29【答案】297. 59 718+2 ÷ 13 54【详解】= 5 × 54 7 29 18 × 54 + 3 × 54 = 30 21 + 36 = 45【答案】458. 3 1 24 2+ 5 ÷120【详解】= 3 × 20 14 2 × 20 +25 × 20 = 15 10 + 8 = 13【答案】13第 6 页 共 20 页9. 4 5 527+ 36 ÷ 9【详解】= 4 927 × 5+5 × 9 = 4 + 1 = 16+15 3136 5 15 4 60 = 60【答案】3160类型四:没有运算定律可以用 按顺序计算。24 ÷ (1 38 14 ) 5 ÷5 56 6÷ 51.24 ÷ 1 3 18 4【详解】括号:88 3 2 3 38 8 = 8;24 ÷ 8 = 24 ×83 = 64【答案】642.5 ÷ 56 56÷ 5【详解】5 × 6 5 × 1 = 6 15 6 5 6 = 556【答案】5 56技巧二:有括号的先算括号里面的,括号里面有多步计算的,先算乘除后算加减。815÷ (5+ 16 3 ) 20 ÷ [(1+ 58 6 ) ×623 ](1 3 6 10 2 2 110÷ 7 ) × 13 ( 9 × 13 9 ) ÷ 3第 7 页 共 20 页1 ÷ ( 13÷14 )9 7 1 116+ ( 16 4 ) ÷ 21÷ [( 2 15 3 5 ) × 15] 5 ÷ [(23+1 15 ) × 13 ]3 7 2 1 1 5 7 15÷ [ 11 × ( 5+ 3 )] 6÷ [ 12 × ( 8 2 )]4 7 8 9 22 5 3 59÷ ( 6 17 17 ) 25÷ [( 8+ 4 ) ÷ 8 ]第 8 页 共 20 页67÷49+23 ×5 6 3 36 5 7÷ 14+ 161. 8 ÷ 5 115 6+ 3【详解】括号:56+26 =7 8 6 166;15 × 7 = 35【答案】16352.20 ÷ 18+56 ×623【详解】小括号:3+20 23 23 6 1 124 = 24;中括号:24 × 23 = 4;20 ÷ 4 = 80【答案】803. 1 3 6 1010÷ 7 × 13【详解】先除: 3 7 710 × 6 = 20;括号:1 7 = 13;13 × 10 120 20 20 13 = 2【答案】124. 2 × 13 2 ÷ 19 9 3【详解】提取:29 × (13 1) =29 × 12;249 × 3 = 8【答案】85.1 ÷ 1 13÷ 4【详解】括号:13 × 4 =4 3 33;1 × 4 = 4【答案】34第 9 页 共 20 页6. 916+7 1 116 4 ÷ 2【详解】小括号: 7 4 = 316 16 16;除法:316 × 2 =3 9 6 158;16+ 16 = 16【答案】15167.15÷2 13 5 × 15【详解】小括号:10 3 7 7 1 115 = 15;中括号:15 × 15 = 7;5÷ 7 = 35【答案】 1358.5 ÷ 23+1 15 × 13【详解】小括号:1315;中括号:13 115 × 13 =115;5 × 15 = 75【答案】759.3÷ 7 2 15 11 × 5+ 3【详解】小括号:1115;中括号:7 × 11 = 7;311 15 15 5 ×157 =97【答案】9710.1÷ 5 7 16 12 × 8 2【详解】小括号:3;中括号: 5 3 5 1 32 168 12 × 8 = 32;6 × 5 = 15【答案】161511.4 7 8 99÷ 6 17 17【详解】后两项合并:8+917 = 1;括号:76 1 =1 4 86;9 × 6 = 3第 10 页 共 20 页【答案】8312.22 525÷ 8+3 54 ÷ 8【详解】括号内除法: 118 ×8 11 22 5 25 = 5;25 × 11 = 5【答案】2513.6 4 2 57÷ 9+ 3 × 6【详解】先乘:10 = 5;括号:4+518 9 9 = 1;67÷ 1 =67【答案】6714.5 6÷ 3 37 14+ 16【详解】除法:67 ×143 = 4;括号:4 +3 316 = 4 16;5 43 1316 = 16【答案】1316技巧三:无括号的,按运算顺序计算。23+ 1.8 ×5 3 3 × 10 2 6 9 29 2 21 7 2 13÷ 26 31 67÷78 6 +25 5 536÷ 18 45 ÷ 7 45第 11 页 共 20 页2 5÷ 2÷ 5 7 5 3 2 5 1 19 3 9 9 12÷ 4 9+ 9 × 5 43+ 5 + 2+ 6 1+ 1 2 7 5 37 11 7 11 6 4 × 3 9 12÷ 417.8 20.4 × 1 2 5 16 9+ 9 × 5 141.23+ 1.8 ×59【详解】1.8 = 95,9 5 2 55 × 9 = 1;3+ 1 = 3【答案】532.3 32 ×10 221 7【详解】3 10 5 5 22 × 21 = 7;3 7 7 = 3 1 = 2【答案】23.2 6 9 213÷ 26 3【详解】 613 ×26 = 4 4 29 3;2 3 3 = 2 2 = 0【答案】0第 12 页 共 20 页4.1 67÷78【详解】1 67 ×87 = 1 48 149 = 49【答案】 1495.6 + 25 536÷ 18【详解】25 18 5 5 1736 × 5 = 2;6 + 2 = 2【答案】1726.45 ÷ 57 45【详解】45 × 75 45 = 63 45 = 18【答案】187.2 5÷ 2 59 3÷ 9【详解】交换:2 5÷ 5 39 9 × 2 = 2 3 12 = 2【答案】128.7 5 ÷ 39 12 4【详解】 5 412 × 3 =59;7 5 29 9 = 9【答案】299.29+5 × 1 19 5 4【详解】59 ×1 = 1;3 1 1 1 15 9 9 4 = 3 4 = 12第 13 页 共 20 页【答案】 11210.37+511+2+ 67 11【详解】同分母结合: 3+2 + 5+6 57 11 = 7+ 1 = 157【答案】1 5711.1+ 1 26 4 × 3【详解】1 × 24 3 =1;16 6+16 =13【答案】1312.17.8 20.4 × 16【详解】20.4 ÷ 6 = 3.4;17.8 3.4 = 14.4【答案】14.4技巧四:算式中有小数的,先化成最简分数,结果是带分数的,分数部分必须是真分数。11÷ 2.2 × 412 5 (3 0.6) ÷8154 ÷ 813 7+913 × 0.8753 220÷ 0.2 × 3第 14 页 共 20 页4 × 1.8 + 69 5 4.8 × 3.9 + 6110 × 4457 19÷ 2 5+5 2 711 × 9 8 × 53 0.875 × 531.1112÷ 2.2 ×45,2.2 =115【详解】11 × 5 4 112 11 × 5 = 3【答案】132.(3 0.6) ÷ 815,2.4 =125【详解】12 × 15 = 95 8 2【答案】923. 413÷8+ 9 77 13 × 0.875,0.875 = 8第 15 页 共 20 页【详解】 4 × 7 9 7 713 8+ 13 × 8 = 8 × 1 =78【答案】784. 320÷ 0.2 ×23,0.2 =15【详解】 320 × 5 ×2 = 13 2【答案】125.4 69 × 1.8 + 5【详解】1.8 = 9,4 × 9+ 65 9 5 5 =45+65 = 2【答案】26.4.8 × 3.9 + 6 110 × 445【详解】4.8 = 4 45,6.1 × 4.8 + 3.9 × 4.8 = 4.8 × 10 = 48【答案】487.7 1 5 29÷ 2 5+ 11 × 9【详解】2 15 =11 7 5 2 5 55,9 × 11+ 9 × 11 = 11【答案】 5118.78 × 53 0.875 × 53【详解】0.875 = 78,53 ×78 78 = 0【答案】0第 16 页 共 20 页技巧五:易错对比练习。99 × 99 98 × 96 9698 97 96 × 9757 17÷ 8 7 × (5 × 47 9 ) × 9 7 × (5+ 47 9 ) × 96 × 15 6 3 3 × 7 7 × 16+ 9 × 77 7 8 8 15 17 25 17 2524 ÷ ( 1+ 14 6 ) (1 14+ 6 ) ×24( 4 + 1 ) × 11 + 6 5 10 5 2 4 411 17 17 9 × 21+ 9 × 21+ 7 × 91.99 × 9998【详解】(98 + 1) × 9998 = 99+99 198 = 100 98第 17 页 共 20 页【答案】100 1982.98 × 9697【详解】(97 + 1) × 96 96 9697 = 96+ 97 = 96 97【答案】96 96973.96 × 9697【详解】(97 1) × 9697 = 96 96 197 = 95 97【答案】95 1974.57 17÷8【详解】57×7+1 1 400 1 507 × 8 = 7 × 8 = 7 = 717【答案】7 175.7 × 5 × 47 9 × 9【详解】交换: 7 × 5 47 × 9 × 9 = 5 × 4 = 20【答案】206.7 × 57+49 × 9【详解】分配:7 × 9 × 57+ 7 × 9 ×49 = 45 + 28 = 73【答案】737.67 × 15 67第 18 页 共 20 页【详解】67 × (15 1) =67 × 14 = 12【答案】128.3 3 78 8 × 15【详解】3 × 1 7 = 3 × 8 18 15 8 15 = 5【答案】159. 7 × 1617 25+9 × 717 25【详解】交换分子:1617 ×7 9 7 7 725+ 17 × 25 = 17 × 1 = 17【答案】 71710.24 ÷ 1+ 14 6【详解】括号 512,24 ×12 2885 = 5【答案】288511. 1 14+ 6 × 24【详解】1 × 24 + 14 6 × 24 = 6 + 4 = 10【答案】1012. 4 1 611+ 17 × 11 + 17【详解】4 + 1117+617 = 4 + 1 = 5【答案】5第 19 页 共 20 页13.5 × 10 5 2 4 49 21+ 9 × 21+ 7 × 9【详解】前两项5 × 12 209 21 = 63,后项1663,合计36 463 = 7【答案】47第 20 页 共 20 页专项训练04《分数四则混合运算》(5个技巧)技巧一:有除法变乘法。方法点拨:遇到除法变乘法。类型一:变连乘。类型二:变有相同因数。类型三:变几个数相加减乘一个数。类型四:没有运算定律可以用 按顺序计算。技巧二:有括号的先算括号里面的,括号里面有多步计算的,先算乘除后算加减。技巧三:无括号的,按运算顺序计算。技巧四:算式中,先化成最简分数,结果是,分数部分必须是真分数。技巧五:易错对比练习。×24专项训练 04《分数四则混合运算》(5个技巧)技巧一:有除法变乘法。方法点拨:遇到除法变乘法。类型一:变连乘。127 ÷ 3 ×14 9 ÷ 3 1 4 4 4 45 10 7÷ 5 5 × 7÷ 5 × 71 3 13 15 7 3 7 3 6 2 22÷ 4 × 15 × 13 16 × 8÷ 16 × 8 7 × 5÷ 917÷ 7 ÷ 24 4÷ 7 ÷ 1 5 × 8 ÷ 1 425 15 35 5 10 4 6 13 6÷ 39类型二:变有相同因数。4 ÷ 3 9 3 6 4 1 6 3 2 113 7+ 13÷ 7 7÷ 5 4 × 7 5÷ 3+ 5 × 3第 1 页 共 7 页3 1 5 18÷ 14 + 14 × 8 4 ×89+14÷ 9817÷ 23 +1 9 123 × 17+ 23336 ÷ 8 + 336 ÷ 87类型三:变几个数相加减乘一个数。( 34+1 1 1 1 11 36 3 ) ÷ 12 ( 3+ 12 4 ) ÷1 7 3 11 124 8+ 4+ 24 ÷ 24(16 4 ) ÷ 8 ( 7 5 1 55 15 12 36 ) ÷ 36 ( 12+1 1 14 16 ) ÷ 48( 5 7 + 2 ) ÷ 1 ( 3 1+ 29 18 3 54 4 2 5 ) ÷1 ( 4 5 520 27+ 36 ) ÷ 9第 2 页 共 7 页类型四:没有运算定律可以用 按顺序计算。24 ÷ (1 38 14 ) 5 ÷5 56 6÷ 5技巧二:有括号的先算括号里面的,括号里面有多步计算的,先算乘除后算加减。815÷ (5+ 16 3 ) 20 ÷ [(18+56 ) ×623 ](1 3 610÷ 7 ) ×10 2 2 113 ( 9 × 13 9 ) ÷ 31 ÷ ( 1÷ 1 ) 93 4 16+ (7 1 116 4 ) ÷ 2第 3 页 共 7 页15÷ [(23 15 ) × 15] 5 ÷ [(2+ 1 ) × 13 5 13 ]3÷ [ 7 × ( 2+ 1 )] 1÷ [ 5 × ( 7 15 11 5 3 6 12 8 2 )]49÷ (76 8 9 22 5 3 517 17 ) 25÷ [( 8+ 4 ) ÷ 8 ]6÷ 4 27 9+ 3 ×5 6 3 36 5 7÷ 14+ 16第 4 页 共 7 页技巧三:无括号的,按运算顺序计算。2+ 1.8 × 5 3 3 × 10 2 6 93 9 2 21 7 2 13÷ 26 231 6 7 25 5 57÷ 8 6 + 36÷ 18 45 ÷ 7 452 59÷2 5 7 5 3 2 5 1 13÷ 9 9 12÷ 4 9+ 9 × 5 437+5 211+ 7+6 1+ 1 × 2 7 5 ÷ 311 6 4 3 9 12 417.8 20.4 × 1 2 5 1 16 9+ 9 × 5 4第 5 页 共 7 页技巧四:算式中有小数的,先化成最简分数,结果是带分数的,分数部分必须是真分数。1112÷ 2.2 ×45 (3 0.6) ÷8154 8 9 3 213÷ 7+ 13 × 0.875 20÷ 0.2 × 349 × 1.8 +65 4.8 × 3.9 + 61 410 × 4 57÷ 2 1 5 2 79 5+ 11 × 9 8 × 53 0.875 × 53第 6 页 共 7 页技巧五:易错对比练习。99 × 99 98 × 96 96 × 9698 97 9757 17÷ 8 7 × (5 × 47 9 ) × 9 7 × (57+49 ) × 96 × 15 6 3 3 × 7 7 × 16 9 77 7 8 8 15 17 25+ 17 × 2524 ÷ ( 1 14+ 6 ) (14+16 ) ×24( 4 + 111 17 ) × 11 +6 517 9 ×10 5 2 4 421+ 9 × 21+ 7 × 9第 7 页 共 7 页 展开更多...... 收起↑ 资源列表 专项训练04《分数四则混合运算》(5个技巧)(原卷版).docx 专项训练04《分数四则混合运算》(5个技巧)(原卷版).pdf 专项训练04《分数四则混合运算》(5个技巧)(解析版).docx 专项训练04《分数四则混合运算》(5个技巧)(解析版).pdf