Question

1/12+1/2+1/6=?
ayudis por fisssssssssss

Answer 1

se suma1/12+1/2+1/6 igual a 3/20

Answer 2

Solución:

$\dfrac{1}{12} +\dfrac{1}{2} + \dfrac{1}{6} = \dfrac{3}{4}\:\:\:\:\:\left(Decimal:\:\:\:\:0.75\right)$

Explicación paso a paso:

$\dfrac{1}{12} +\dfrac{1}{2} + \dfrac{1}{6} =$

$\to\:\:\:encontrar\:\:el\:\:Minimo\:\:Comun\:\:Multiplo\:\:de\:\:12,\:2,\:6:\:\:\:12$

$\boldsymbol{Pasos:}$

$\boldsymbol{Descompocicion\:\:en\:\:factores\:\:primos\:\:de\:\:12,\:2,\:6}:\\\\\boldsymbol{12:}\ {2\:\cdot\: 2\cdot\: 3}\\\boldsymbol{2:}\ {2}\\\ \boldsymbol{6:}\ {2\cdot 3}\\\\=2\:\cdot\:2\:\cdot\:3\\\boxed{=12}$

$\to\:\:Reescribir\:\:las\:\:Fracciones\:\:Basandose\:\:en\:\:el\:\:Minimo\:\:Comun\:\:denominador:$

$\dfrac{12}{12} =1\\\\\boxed{\dfrac{1}{12} \cdot1=\dfrac{1}{12}}$          $\dfrac{12}{2} = 6\:\:\:\:\:\:\dfrac{1}{2}\cdot\dfrac{6}{6} \\\\\boxed{\dfrac{1\cdot6}{2\cdot6}=\dfrac{6}{12} }$         $\dfrac{12}{6} = 2\:\:\:\:\:\:\dfrac{1}{6}\cdot\dfrac{2}{2} \\\\\boxed{\dfrac{1\cdot2}{6\cdot2}=\dfrac{2}{12} }$

$=\dfrac{1}{12} + \dfrac{6}{12} +\dfrac{2}{12}$

$\to\:\:\:Aplicar\:\:las\:\:Propiedades\:\:de\:\:las\:\:Fracciones:\:\:\:\dfrac{a}{c} +\dfrac{b}{c} = \dfrac{a+b}{c}$

$=\dfrac{1+6+2}{12}$

$\to\:\:\:Sumar:\:\:\:\:1\:+\:6\:+\:2\:=\:9$

$=\dfrac{9}{12}$

$\to\:\:\:Simplificar:\:\:\:\:\dfrac{9}{12} = \dfrac{3}{4}$

$\boldsymbol{Pasos:}$

$\boldsymbol{\text{Descomponer la fraccion en factores primos}}\\\\\boldsymbol{9=}\ {3\:\cdot\: 3}\\\boldsymbol{12=}\ {3\cdot\:4}\\\\\dfrac{3\cdot\:3}{3\cdot\:4}\\\\\boldsymbol{\text{eliminar terminos comunes: 3}}\\\\\boxed{=\dfrac{3}{4} }$