Question

Tính thuận tiện:

\(\dfrac{3}{2}+\dfrac{5}{4}+\dfrac{9}{8}+\dfrac{17}{16}+\dfrac{33}{32}+\dfrac{65}{64}\)

Answer 1

`3/2 + 5/4 + 9/8 + 17/16 + 33/32 + 65/64`

`= ( 3/2  + 5/4) + (9/8 + 17/16) + (33/32 + 65/64)`

`= (6/4+5/4) + ( 18/16+ 17/16) +( 66/64+ 65/64)`

`= 11/4 + 35/16 + 131/64`

`= 176/64 + 140/64+ 131/64`

`= (176+140+131)/64`

`= 447/64`

Answer 2

\(\left(\dfrac{3}{2}+\dfrac{65}{64}\right)+\left(\dfrac{5}{4}+\dfrac{33}{32}\right)+\left(\dfrac{9}{8}+\dfrac{17}{16}\right)=\dfrac{161}{64}+\dfrac{73}{32}+\dfrac{35}{16}=\dfrac{161}{64}+\dfrac{146}{64}+\dfrac{140}{64}=\dfrac{447}{64}\)

Answer 3

\(\dfrac{3}{2}+\dfrac{5}{4}+\dfrac{9}{8}+\dfrac{17}{16}+\dfrac{33}{32}+\dfrac{65}{64}=\dfrac{96}{64}+\dfrac{80}{64}+\dfrac{68}{64}+\dfrac{66}{64}+\dfrac{65}{64}=\dfrac{447}{64}\)

Answer 4

`= 96/64 + 80/64 + 72/64 + 68/64 + 66/64 + 65/64`

`= 447/64`