completar el suguiente cuadro teniendo en cuenta que la suma de tres numeros en linea, ya sea horizontal, vertical o diagonal, debe ser 3/2
Adjuntos:
![](https://es-static.z-dn.net/files/d50/afb503e4e5c450dd8d7865a3accff5df.jpg)
Respuestas
Respuesta dada por:
96
Procedimiento:
Enumeramos las casillas del uno al nueve, de izquierda a derecha:
- Casilla número seis:
![\frac{5}{8} + \frac{1}{2} + x = \frac{3}{2} \\ \\ \frac{8:8.5+8:2.1}{8} + x = \frac{3}{2} \\ \\ \frac{5+4}{8} + x = \frac{3}{2} \\ \\ \frac{9}{8} + x = \frac{3}{2} \\ \\ x= \frac{3}{2} - \frac{9}{8} \\ \\ x = \frac{8:2.3-8:8.9}{8} \\ \\ x = \frac{12-9}{8} \\ \\ x = \frac{3}{8} \frac{5}{8} + \frac{1}{2} + x = \frac{3}{2} \\ \\ \frac{8:8.5+8:2.1}{8} + x = \frac{3}{2} \\ \\ \frac{5+4}{8} + x = \frac{3}{2} \\ \\ \frac{9}{8} + x = \frac{3}{2} \\ \\ x= \frac{3}{2} - \frac{9}{8} \\ \\ x = \frac{8:2.3-8:8.9}{8} \\ \\ x = \frac{12-9}{8} \\ \\ x = \frac{3}{8}](https://tex.z-dn.net/?f=+%5Cfrac%7B5%7D%7B8%7D+%2B++%5Cfrac%7B1%7D%7B2%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C+++%5C%5C+%5Cfrac%7B8%3A8.5%2B8%3A2.1%7D%7B8%7D++%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B5%2B4%7D%7B8%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B9%7D%7B8%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++x%3D+%5Cfrac%7B3%7D%7B2%7D+-++%5Cfrac%7B9%7D%7B8%7D+++%5C%5C++%5C%5C++x+%3D++%5Cfrac%7B8%3A2.3-8%3A8.9%7D%7B8%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B12-9%7D%7B8%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B3%7D%7B8%7D+)
- Casilla número nueve:
![\frac{1}{3} + \frac{3}{8} + x = \frac{3}{2} \\ \\ \frac{24:3.1+24:8.3}{24} + x = \frac{3}{2} \\ \\ \frac{8+9}{24} + x = \frac{3}{2} \\ \\ \frac{17}{24} + x = \frac{3}{2} \\ \\ x = \frac{3}{2} - \frac{17}{24} \\ \\ x = \frac{24:2.3-24:24.17}{24} \\ \\ x = \frac{36-17}{24} \\ \\ x = \frac{19}{24} \frac{1}{3} + \frac{3}{8} + x = \frac{3}{2} \\ \\ \frac{24:3.1+24:8.3}{24} + x = \frac{3}{2} \\ \\ \frac{8+9}{24} + x = \frac{3}{2} \\ \\ \frac{17}{24} + x = \frac{3}{2} \\ \\ x = \frac{3}{2} - \frac{17}{24} \\ \\ x = \frac{24:2.3-24:24.17}{24} \\ \\ x = \frac{36-17}{24} \\ \\ x = \frac{19}{24}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B3%7D+%2B++%5Cfrac%7B3%7D%7B8%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B24%3A3.1%2B24%3A8.3%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B8%2B9%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B17%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B3%7D%7B2%7D+-++%5Cfrac%7B17%7D%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B24%3A2.3-24%3A24.17%7D%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B36-17%7D%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B19%7D%7B24%7D)
- Casilla número uno:
![\frac{19}{24} + \frac{1}{2} + x = \frac{3}{2} \\ \\ \frac{24:.24.19+24:2.1}{24} + x = \frac{3}{2} \\ \\ \frac{19+12}{24} + x = \frac{3}{2} \\ \\ \frac{31}{24} + x = \frac{3}{2} \\ \\ x = \frac{3}{2} - \frac{31}{24} \\ \\ x = \frac{24:2.3-24:24.31}{24} \\ \\ x = \frac{36-31}{24} \\ \\ x = \frac{5}{24} \frac{19}{24} + \frac{1}{2} + x = \frac{3}{2} \\ \\ \frac{24:.24.19+24:2.1}{24} + x = \frac{3}{2} \\ \\ \frac{19+12}{24} + x = \frac{3}{2} \\ \\ \frac{31}{24} + x = \frac{3}{2} \\ \\ x = \frac{3}{2} - \frac{31}{24} \\ \\ x = \frac{24:2.3-24:24.31}{24} \\ \\ x = \frac{36-31}{24} \\ \\ x = \frac{5}{24}](https://tex.z-dn.net/?f=+%5Cfrac%7B19%7D%7B24%7D+%2B++%5Cfrac%7B1%7D%7B2%7D++%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B24%3A.24.19%2B24%3A2.1%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B19%2B12%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D+++%5C%5C++%5C%5C++%5Cfrac%7B31%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B3%7D%7B2%7D+-++%5Cfrac%7B31%7D%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B24%3A2.3-24%3A24.31%7D%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B36-31%7D%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B5%7D%7B24%7D+)
- Casilla número siete:
![\frac{1}{3} + \frac{1}{2} + x = \frac{3}{2} \\ \\ \frac{6:3.1+6:2.1}{6} + x = \frac{3}{2} \\ \\ \frac{2+3}{6} + x = \frac{3}{2} \\ \\ \frac{5}{6} + x = \frac{3}{2} \\ \\ x = \frac{3}{2} - \frac{5}{6} \\ \\ x = \frac{6:2.3-6:6.5}{6} \\ \\ x = \frac{9-5}{6} \\ \\ x = \frac{4}{6} \frac{1}{3} + \frac{1}{2} + x = \frac{3}{2} \\ \\ \frac{6:3.1+6:2.1}{6} + x = \frac{3}{2} \\ \\ \frac{2+3}{6} + x = \frac{3}{2} \\ \\ \frac{5}{6} + x = \frac{3}{2} \\ \\ x = \frac{3}{2} - \frac{5}{6} \\ \\ x = \frac{6:2.3-6:6.5}{6} \\ \\ x = \frac{9-5}{6} \\ \\ x = \frac{4}{6}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B3%7D+%2B++%5Cfrac%7B1%7D%7B2%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D+++%5C%5C++%5C%5C++%5Cfrac%7B6%3A3.1%2B6%3A2.1%7D%7B6%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B2%2B3%7D%7B6%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B5%7D%7B6%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B3%7D%7B2%7D+-++%5Cfrac%7B5%7D%7B6%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B6%3A2.3-6%3A6.5%7D%7B6%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B9-5%7D%7B6%7D++%5C%5C++%5C%5C+x+%3D+++%5Cfrac%7B4%7D%7B6%7D+)
- Casilla número dos:
![\frac{5}{24} + \frac{1}{3} + x = \frac{3}{2} \\ \\ \frac{24:24.5+24:3.1}{24} + x = \frac{3}{2} \\ \\ \frac{5+8}{24} + x = \frac{3}{2} \\ \\ \frac{13}{24} + x = \frac{3}{2} \\ \\ x = \frac{3}{2} - \frac{13}{24} \\ \\ x = \frac{24:2.3-24:24.13}{24} \\ \\ x = \frac{36-13}{24} \\ \\ x = \frac{23}{24} \frac{5}{24} + \frac{1}{3} + x = \frac{3}{2} \\ \\ \frac{24:24.5+24:3.1}{24} + x = \frac{3}{2} \\ \\ \frac{5+8}{24} + x = \frac{3}{2} \\ \\ \frac{13}{24} + x = \frac{3}{2} \\ \\ x = \frac{3}{2} - \frac{13}{24} \\ \\ x = \frac{24:2.3-24:24.13}{24} \\ \\ x = \frac{36-13}{24} \\ \\ x = \frac{23}{24}](https://tex.z-dn.net/?f=+%5Cfrac%7B5%7D%7B24%7D+%2B++%5Cfrac%7B1%7D%7B3%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B24%3A24.5%2B24%3A3.1%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B5%2B8%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B13%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B3%7D%7B2%7D+-++%5Cfrac%7B13%7D%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B24%3A2.3-24%3A24.13%7D%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B36-13%7D%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B23%7D%7B24%7D+)
- Casilla número ocho:
![\frac{23}{24} + \frac{1}{2} + x = \frac{3}{2} \\ \\ \frac{24:24.23+24:2.1}{24} + x = \frac{3}{2} \\ \\ \frac{23+12}{24} + x = \frac{3}{2} \\ \\ \frac{35}{24} + x = \frac{3}{2} \\ \\ x = \frac{3}{2} - \frac{35}{24} \\ \\ x = \frac{24:2.3-24:24.35} {24} \\ \\ x = \frac{36-35}{24} \\ \\ x = \frac{1}{24} \frac{23}{24} + \frac{1}{2} + x = \frac{3}{2} \\ \\ \frac{24:24.23+24:2.1}{24} + x = \frac{3}{2} \\ \\ \frac{23+12}{24} + x = \frac{3}{2} \\ \\ \frac{35}{24} + x = \frac{3}{2} \\ \\ x = \frac{3}{2} - \frac{35}{24} \\ \\ x = \frac{24:2.3-24:24.35} {24} \\ \\ x = \frac{36-35}{24} \\ \\ x = \frac{1}{24}](https://tex.z-dn.net/?f=+%5Cfrac%7B23%7D%7B24%7D+%2B++%5Cfrac%7B1%7D%7B2%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B24%3A24.23%2B24%3A2.1%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B23%2B12%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B35%7D%7B24%7D+%2B+x+%3D++%5Cfrac%7B3%7D%7B2%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B3%7D%7B2%7D+-++%5Cfrac%7B35%7D%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B24%3A2.3-24%3A24.35%7D++%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B36-35%7D%7B24%7D++%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B1%7D%7B24%7D+)
La suma de las fracciones de manera horizontal, vertical y diagonal suman tres medios.
Te adjunto una imagen con los resultados.
Enumeramos las casillas del uno al nueve, de izquierda a derecha:
- Casilla número seis:
- Casilla número nueve:
- Casilla número uno:
- Casilla número siete:
- Casilla número dos:
- Casilla número ocho:
La suma de las fracciones de manera horizontal, vertical y diagonal suman tres medios.
Te adjunto una imagen con los resultados.
Adjuntos:
![](https://es-static.z-dn.net/files/d11/52a123d0917dc101a294f3cb19189400.jpg)
Respuesta dada por:
3
Respuesta:
Cirto lo que dijo el de arriba :D
Explicación paso a paso:
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