[size=150][b][size=200][color=#00ff00]¿Qué es la suma de fracciones?[br][/color][/size][br][/b][justify]La [b]adición o suma de fracciones[/b] es una de las operaciones básicas que permite combinar dos o más fracciones en un número equivalente, al cual se le conoce como “Suma” o “Resultado de la Suma”.[br][br][b][size=200][color=#1e84cc]¿Cómo sumar fracciones?[/color][br][/size][br][/b]Para obtener el valor numérico en forma de fracciones, primeramente se debe identificar si la suma de fracciones tiene el mismo denominador o diferente denominador, por lo tanto, se tienen dos procedimientos:[br][br][b][color=#8e7cc3]1) Suma de fracciones con mismo denominador[/color][br][/b]La suma de fracciones con el mismo denominador o también conocida como suma de fracciones homogéneas es el procedimiento más simplificado y sencillo, ya que el proceso de la suma se basa en sumar los numeradores y el denominador se mantiene igual.[br][img]data:image/png;base64,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[/img][br][br][b][color=#8e7cc3]2) Suma de fracciones con diferente denominador[/color][br][/b]Para realizar una suma de fracciones con diferente denominador o también conocida como suma de fracciones heterogéneas, se recomienda saber obtener el mínimo común múltiplo (m.c.m.), ya que podemos simplificar las ecuaciones.[/justify]Se pueden considerar dos métodos distintos para la suma de fracciones con diferente denominador, en este caso, el primer método corresponde a la forma directa ya que no podemos obtener un mínimo común múltiplo del denominador y el segundo método corresponde a la obtención del mínimo común múltiplo.[br][list][b]Primer Método[/b]: El primer método se puede resolver de dos maneras[list][b][br]A)[/b] Método de la División de los denominadores por los numerados: Consiste en buscar el común denominador de las fracciones que se van a sumar, por ejemplo:[math]\frac{1}{2}+\frac{3}{5}[/math][/list][/list] 1. Para ello se multiplica los denominadores de las fracciones 2 x 5 = 10.[br] [math]\frac{1}{2}+\frac{3}{5}=\frac{ }{10}[/math][br][br] 2. El común denominador se divide entre el denominador de la primera fracción:[br] 10/2 = 5[br] [math]\frac{1}{2}+\frac{3}{5}=\frac{ }{10}[/math][br][br][/size] [size=150]3.- El resultado de la división se multiplica por el numerador de la misma fracción: 5 x 1.[br] [math]\frac{1}{2}+\frac{3}{5}=\frac{ }{10}[/math][br][br] 4.- Una vez que se divide y se multiplica, el resultado se coloca en el numerador con el[br] signo de la fracción, en este caso la fracción es positiva pero está de más poner el[br] signo.[br][/size] [math]\frac{1}{2}+\frac{3}{5}=\frac{5}{10}[/math]