Respuestas
Respuesta dada por:
1
~ Propone tres maneras distintas de tener tres kilogramos combinando paquetes de
;
y
.
- Opción uno: Cuatro paquetes de
, dos paquetes de
y cuatro paquetes de
.
![\frac{1}{2} . \frac{4}{1} + \frac{1}{4} . \frac{2}{1} + \frac{1}{8} . \frac{4}{1} = \frac{1}{2} . \frac{4}{1} + \frac{1}{4} . \frac{2}{1} + \frac{1}{8} . \frac{4}{1} =](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2%7D+.++%5Cfrac%7B4%7D%7B1%7D+%2B++%5Cfrac%7B1%7D%7B4%7D+.++%5Cfrac%7B2%7D%7B1%7D++%2B++%5Cfrac%7B1%7D%7B8%7D+.++%5Cfrac%7B4%7D%7B1%7D++%3D++)
![\frac{4.1}{2.1} + \frac{1.2}{4.1} + \frac{1.4}{8.1} = \frac{4.1}{2.1} + \frac{1.2}{4.1} + \frac{1.4}{8.1} =](https://tex.z-dn.net/?f=+%5Cfrac%7B4.1%7D%7B2.1%7D+%2B++%5Cfrac%7B1.2%7D%7B4.1%7D+%2B++%5Cfrac%7B1.4%7D%7B8.1%7D+%3D+)
![\frac{4}{2} + \frac{2}{4} + \frac{4}{8} = \frac{4}{2} + \frac{2}{4} + \frac{4}{8} =](https://tex.z-dn.net/?f=+%5Cfrac%7B4%7D%7B2%7D+%2B++%5Cfrac%7B2%7D%7B4%7D+%2B++%5Cfrac%7B4%7D%7B8%7D+%3D+)
![\frac{(8:2.4) + (8:4.2) + (8:8.4)}{8} = \frac{(8:2.4) + (8:4.2) + (8:8.4)}{8} =](https://tex.z-dn.net/?f=+%5Cfrac%7B%288%3A2.4%29+%2B+%288%3A4.2%29+%2B+%288%3A8.4%29%7D%7B8%7D+%3D+)
![\frac{16+4+4}{8} = \frac{16+4+4}{8} =](https://tex.z-dn.net/?f=+%5Cfrac%7B16%2B4%2B4%7D%7B8%7D+%3D+)
![\frac{24}{8} = \frac{3}{1} = \fbox{3} \frac{24}{8} = \frac{3}{1} = \fbox{3}](https://tex.z-dn.net/?f=+%5Cfrac%7B24%7D%7B8%7D+%3D++%5Cfrac%7B3%7D%7B1%7D+%3D+%5Cfbox%7B3%7D)
- Opción dos: dos paquetes de de
, cuatro paquetes de
y ocho paquetes de
:
![\frac{1}{2} . \frac{2}{1} + \frac{1}{4} . \frac{4}{1} + \frac{1}{8} . \frac{8}{1} = \frac{1}{2} . \frac{2}{1} + \frac{1}{4} . \frac{4}{1} + \frac{1}{8} . \frac{8}{1} =](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2%7D+.++%5Cfrac%7B2%7D%7B1%7D+%2B++%5Cfrac%7B1%7D%7B4%7D+.++%5Cfrac%7B4%7D%7B1%7D+%2B++%5Cfrac%7B1%7D%7B8%7D+.+%5Cfrac%7B8%7D%7B1%7D++%3D+)
![\frac{1.2}{2.1} + \frac{1.4}{4.1} + \frac{1.8}{8.1} = \frac{1.2}{2.1} + \frac{1.4}{4.1} + \frac{1.8}{8.1} =](https://tex.z-dn.net/?f=+%5Cfrac%7B1.2%7D%7B2.1%7D+%2B++%5Cfrac%7B1.4%7D%7B4.1%7D++%2B++%5Cfrac%7B1.8%7D%7B8.1%7D+%3D+)
![\frac{2}{2} + \frac{4}{4} + \frac{8}{8} = \frac{2}{2} + \frac{4}{4} + \frac{8}{8} =](https://tex.z-dn.net/?f=+%5Cfrac%7B2%7D%7B2%7D+%2B++%5Cfrac%7B4%7D%7B4%7D+%2B++%5Cfrac%7B8%7D%7B8%7D+%3D+)
![\frac{(8:2.2) + (8:4.4) + (8:8.8)}{8} = \frac{(8:2.2) + (8:4.4) + (8:8.8)}{8} =](https://tex.z-dn.net/?f=+%5Cfrac%7B%288%3A2.2%29+%2B+%288%3A4.4%29+%2B+%288%3A8.8%29%7D%7B8%7D+%3D+)
![\frac{8+8+8}{8} = \frac{8+8+8}{8} =](https://tex.z-dn.net/?f=+%5Cfrac%7B8%2B8%2B8%7D%7B8%7D+%3D+)
![\frac{24}{8} = \frac{3}{1} = \fbox{3} \frac{24}{8} = \frac{3}{1} = \fbox{3}](https://tex.z-dn.net/?f=+%5Cfrac%7B24%7D%7B8%7D+%3D++%5Cfrac%7B3%7D%7B1%7D+%3D+%5Cfbox%7B3%7D)
- Opción tres: tres paquetes de
, dos paquetes de
y ocho paquetes de
:
![\frac{1}{2} . \frac{3}{1} + \frac{1}{4} . \frac{2}{1} + \frac{1}{8} . \frac{8}{1} = \frac{1}{2} . \frac{3}{1} + \frac{1}{4} . \frac{2}{1} + \frac{1}{8} . \frac{8}{1} =](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B2%7D+.++%5Cfrac%7B3%7D%7B1%7D+%2B++%5Cfrac%7B1%7D%7B4%7D+.++%5Cfrac%7B2%7D%7B1%7D+%2B++%5Cfrac%7B1%7D%7B8%7D+.++%5Cfrac%7B8%7D%7B1%7D+%3D+)
![\frac{1.3}{2.1} + \frac{1.2}{4.1} + \frac{1.8}{8.1} = \frac{1.3}{2.1} + \frac{1.2}{4.1} + \frac{1.8}{8.1} =](https://tex.z-dn.net/?f=+%5Cfrac%7B1.3%7D%7B2.1%7D+%2B++%5Cfrac%7B1.2%7D%7B4.1%7D+%2B++%5Cfrac%7B1.8%7D%7B8.1%7D+%3D+)
![\frac{3}{2} + \frac{2}{4} + \frac{8}{8} = \frac{3}{2} + \frac{2}{4} + \frac{8}{8} =](https://tex.z-dn.net/?f=+%5Cfrac%7B3%7D%7B2%7D+%2B++%5Cfrac%7B2%7D%7B4%7D+%2B++%5Cfrac%7B8%7D%7B8%7D+%3D+)
![\frac{(8:2.3)+ (8:4.2) + (8:8.8)}{8} = \frac{(8:2.3)+ (8:4.2) + (8:8.8)}{8} =](https://tex.z-dn.net/?f=+%5Cfrac%7B%288%3A2.3%29%2B+%288%3A4.2%29+%2B+%288%3A8.8%29%7D%7B8%7D+%3D+)
![\frac{12+4+8}{8} = \frac{12+4+8}{8} =](https://tex.z-dn.net/?f=+%5Cfrac%7B12%2B4%2B8%7D%7B8%7D+%3D+)
![\frac{24}{8} = \frac{3}{1} = \fbox{3} \frac{24}{8} = \frac{3}{1} = \fbox{3}](https://tex.z-dn.net/?f=+%5Cfrac%7B24%7D%7B8%7D+%3D++%5Cfrac%7B3%7D%7B1%7D+%3D+%5Cfbox%7B3%7D)
- Opción uno: Cuatro paquetes de
- Opción dos: dos paquetes de de
- Opción tres: tres paquetes de
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