In school pupils study one language. They choose either French, Spanish or Italian. 3/20 of the pupils study Italian and 5/8 of the pupils study French.What fraction of the pupils study Spanish
Question
In school pupils study one language. They choose either French, Spanish or Italian. 3/20 of the pupils study Italian and 5/8 of the pupils study French.What fraction of the pupils study Spanish
Solution
Primero, vamos a determinar la fracción de los alumnos que estudian italiano y francés.
Sabemos que:
- 3/20 de los alumnos estudian italiano.
- 5/8 de los alumnos estudian francés.
Para encontrar la fracción de los alumnos que estudian español, primero necesitamos sumar las fracciones de los alumnos que estudian italiano y francés.
Convertimos 5/8 a una fracción con el mismo denominador que 3/20. El mínimo común múltiplo de 8 y 20 es 40.
Convertimos 5/8: 5/8 = (5 * 5) / (8 * 5) = 25/40
Convertimos 3/20: 3/20 = (3 * 2) / (20 * 2) = 6/40
Sumamos las fracciones: 25/40 + 6/40 = 31/40
Ahora, restamos esta fracción del total (1) para encontrar la fracción de los alumnos que estudian español: 1 - 31/40 = 40/40 - 31/40 = 9/40
Por lo tanto, 9/40 de los alumnos estudian español.
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