Respuesta:
1 15/16
Explicación paso a paso:
1 + 1/2 + 1/4 + 1/8 + 1/16
= 1 x16 + 1/2 x8 + 1/4 x4 + 1/8 x2 + 1/16
= 16/16 + 8/16 + 4/16 + 2/16 + 1/16
= 31/16 = 1 15/16
[tex]1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}[/tex]
[tex]1=\frac{1}{1}[/tex]
[tex]=\frac{1}{1}+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}[/tex]
[tex]MCM\:de\:1,2,4,8,16:\:16[/tex]
[tex]=\frac{16}{16}+\frac{8}{16}+\frac{4}{16}+\frac{2}{16}+\frac{1}{16}[/tex]
[tex]=\frac{16+8+4+2+1}{16}[/tex]
[tex]16+8+4+2+1=31[/tex]
[tex]=\frac{31}{16}[/tex]
[tex]Buena\:suerte\:con\:tus\:tareas\::ProfeAndresFelipe :)[/tex]
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Respuesta:
1 15/16
Explicación paso a paso:
1 + 1/2 + 1/4 + 1/8 + 1/16
= 1 x16 + 1/2 x8 + 1/4 x4 + 1/8 x2 + 1/16
= 16/16 + 8/16 + 4/16 + 2/16 + 1/16
= 31/16 = 1 15/16
[tex]1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}[/tex]
[tex]1=\frac{1}{1}[/tex]
[tex]=\frac{1}{1}+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}[/tex]
[tex]MCM\:de\:1,2,4,8,16:\:16[/tex]
[tex]=\frac{16}{16}+\frac{8}{16}+\frac{4}{16}+\frac{2}{16}+\frac{1}{16}[/tex]
[tex]=\frac{16+8+4+2+1}{16}[/tex]
[tex]16+8+4+2+1=31[/tex]
[tex]=\frac{31}{16}[/tex]
[tex]Buena\:suerte\:con\:tus\:tareas\::ProfeAndresFelipe :)[/tex]