4分之1乘以39+4分之3乘以25+4分之26乘以13分之3的简便计算可以用全文字的吗

问题描述:

4分之1乘以39+4分之3乘以25+4分之26乘以13分之3的简便计算
可以用全文字的吗

4分之1乘以39+4分之3乘以25+4分之26乘以13分之3
=1/4*39+3/4*25+26/4*3/13
=39/4+3*25/4+26*3/(4*13)
=1/4*(39+75+6)
=120/4
=30 .

原式=39/4+25×(3/4)+(26/4)×(3/13)
=39/4+75/4+6/4
=(39+75+6)/4
=120/4
=30

可以这样简便运算
(1/4)x39+(3/4)x25+(26/4)x(3/13)
=(1/4)x39+(3/4)x25+3/2
=1/4x(40-1)+3/4x(24+1)+3/2
=10-1/4+18+3/4+3/2
=28+1/2+3/2
=30

直接算,分母都是4,答案是30

1/4*39+3/4*25+26/4*3/13
=1/4*39+1/4*25*3+1/4*26*3/13
=1/4*39+1/4*75+1/4*6
=1/4(39+75+6)
=1/4*120=30

39/4+25*(3/4)+(26/4)*(3/13)
=39/4+75/4+6/4
=(39+75+6)/4
=120/4
=30

最后结果为30.
还有疑问请追问~亲~