内容正文:
分数加减乘除混合运算(专项练习)人教版六年级数学上册(含答案)
分数混合运算是六年级数学计算的重点内容,是学好小学运算的重要组成部分,是计算能力提升的必修课。分数混合运算的计算方法与运算法则与整数、小数的计算方法与法则基本一致,并紧密的联系在一起。
分数混合运算就是从整数运算的意义导入到分数运算,同样也适用整数与小数的简便运算法则,会应用这些运算定律进行简便计算。但是,分数运算与整数、小数运算不同的地方,在于需要运用到约分的知识技巧。
因此,要充分理解分数混合运算的算理并掌握分数混合运算的计算方法,并熟练地进行分数的通分与约分计算。
【优选练习】
类型一:分数乘法运算
(1) ×× (2) ××1.2
(3) ×38×0.2× (4) ××
(5) 1×× (6) 1××0.4
(7) ××1.5 (8) 3××0.8
类型二:分数加减与乘法混合运算
(1)6.3×(- ) (2)2023×
(3) (+)×11×13 (4) ×+×
(5) 903×- (6) 138×
(7)55.5×9+56×11.1 (8) 3.8×+×0.4
(9)16×3×() (10)+++…+
类型三:分数乘除法混合运算
(1)12÷×1 (2)×÷÷
(3)1÷××0.5 (4) ÷÷
(5) 2×÷ (6)1÷2.1×0.2
(7) 1.8×÷ (8) ×3.2÷0.4
类型四:分数加减乘除混合运算
(1) ÷() (2)1÷
(3) 4÷÷4 (4)1.6×1÷0.1
(5) ÷()×1 (6) 1×-6÷(-)
(7) (9+35×)÷1 (8) ÷2+×2
(9) 1.7÷[(+)×10]
(10) 1.5×+(÷0.2+)÷1 -0.5
【参考答案】
类型一:分数乘法运算
(1) ××
=×1×
=
(2) ××1.2
=××
=××3
=
(3) ×38×0.2×
=×38××
=7×2×1×
=
(4) ××
=××
=
(5)1××
=××
=1××
=
(6)1××0.4
=××
=1××
=
(7) ××1.5
=××
=1××1
=
(8)3××0.8
=××
=3××1
=
类型二:分数加减与乘法混合运算
(1)6.3×(- )
=×(- )
=×
=
(2)2023×
=(2022+1)×
=2022×+1×
=2021+
=2021
(3)(+)×11×13
=×11×13+×11×13
=6×11+9×13
=66+117
=183
(4)×+×
=(+)×
=2×
=
(5) 903×-
=(903-3)×
=900×
=100
(6) 138×
=(139-1)×
=139×-1×
=137-
=136
(7)55.5×9+56×11.1
=11.1×45+56×11.1
=11.1×(45+56)
=11.1×100
=1110
(8) 3.8×+×0.4
=(3.8+1.2)×
=5×
=2
(9)16×3×()
=16×3×-16×3×
=16×2-3×9
=32-27
=5
(10)+++…+
=1-+-+-+…+-
=1-
=
类型三:分数乘除法混合运算
(1)12÷×1
=12××
=3××1
=
(2)×÷÷
=×
=1×1×1
=
(3)1÷××0.5
=×
=1×1×1
=
(4) ÷÷
=×
=1×1×1
=1
(5) 2×÷
=×
=19×2×
=7
(6)1÷2.1×0.2
=××
=×
=
(7)1.8×÷
=××
=5×
=
(8)×3.2÷0.4
=××
=×
=
类型四:分数加减乘除混合运算
(1) ÷()
=÷()
=÷
=1
(2)1÷
=
=
=
(3) 4÷÷4
=4
=100.1
=9.9
(4)1.6×1÷