Câu 11: Tính các tổng sau: a, 1 + 1/2 + 1/8 + 1/16 b, 2 + 2/3 + 2/9 + 2/27

2 câu trả lời

#andy

\[\begin{array}{l}
a)1 + \dfrac{1}{2} + \dfrac{1}{8} + \dfrac{1}{{16}}\\
MC:16\\
 = \dfrac{{1.16}}{{1.16}} + \dfrac{{1.8}}{{2.8}} + \dfrac{{1.2}}{{8.2}} + \dfrac{1}{{16}}\\
 = \dfrac{{16}}{{16}} + \dfrac{8}{{16}} + \dfrac{2}{{16}} + \dfrac{1}{{16}}\\
 = \dfrac{{16 + 8 + 2 + 1}}{{16}}\\
 = \dfrac{{27}}{{16}}\\
b)2 + \dfrac{2}{3} + \dfrac{2}{9} + \dfrac{2}{{27}}\\
MC:27\\
 = \dfrac{{2.27}}{{1.27}} + \dfrac{{2.9}}{{3.9}} + \dfrac{{2.3}}{{9.3}} + \dfrac{2}{{27}}\\
 = \dfrac{{54}}{{27}} + \dfrac{{18}}{{27}} + \dfrac{6}{{27}} + \dfrac{2}{{27}}\\
 = \dfrac{{54 + 18 + 6 + 2}}{{27}}\\
 = \dfrac{{80}}{{27}}
\end{array}\]

Đáp án:

 #Clickbim 

`a) 1 + 1/2 + 1/8 + 1/16`

`= (1.16)/16  + (1.8)/(2.8) + (2.1)/(8.2) + 1/16`

`= 16/16 + 8/16 + 2/16 + 1/16`

`= (16+8+2+1)/16`

`=27/16`

_______________________________

`c) 2 + 2/3 + 2/9 + 2/27`

`= (2.27)/27 + (2.9)/(3.9) + (2.3)/(9.3) + 2/27`

`= 54/27 + 18/27 + 6/27 + 2/27`

`= (54+18+6+2)/27`

`= 80/27`

Giải thích các bước giải:

 

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