Repaso de descomposición de fracciones

Repasa los fundamentos de la descomposición de fracciones e intenta algunos problemas de práctica.

Descomponer fracciones

Para descomponer un número, lo separamos en partes más pequeñas.
Podemos descomponer 54 en 50, plus, 4.
Las fracciones, como todos los números, se pueden descomponer de muchas maneras.
Aquí hay algunas maneras posibles de descomponer 7:
  • 2, plus, 5
  • 4, plus, 2, plus, 1
  • 6, plus, 1
  • 1, plus, 2, plus, 3, plus, 1

Ejemplo 1: diagrama de cinta

Vamos a descomponer start fraction, 5, divided by, 9, end fraction.
Una manera de descomponer start fraction, 5, divided by, 9, end fraction es start color goldD, start fraction, 2, divided by, 9, end fraction, end color goldD, plus, start color greenD, start fraction, 3, divided by, 9, end fraction, end color greenD:
start color goldD, start fraction, 2, divided by, 9, end fraction, end color goldD, plus, start color greenD, start fraction, 3, divided by, 9, end fraction, end color greenD, equals, start fraction, start color goldD, 2, end color goldD, plus, start color greenD, 3, end color greenD, divided by, 9, end fraction, equals, start fraction, 5, divided by, 9, end fraction
Otra manera de descomponer start fraction, 5, divided by, 9, end fraction es start color purpleD, start fraction, 1, divided by, 9, end fraction, end color purpleD, plus, start color redD, start fraction, 2, divided by, 9, end fraction, end color redD, plus, start color tealD, start fraction, 2, divided by, 9, end fraction, end color tealD:
start color purpleD, start fraction, 1, divided by, 9, end fraction, end color purpleD, plus, start color redD, start fraction, 2, divided by, 9, end fraction, end color redD, plus, start color tealD, start fraction, 2, divided by, 9, end fraction, end color tealD, equals, start fraction, start color purpleD, 1, end color purpleD, plus, start color redD, 2, end color redD, plus, start color tealD, 2, end color tealD, divided by, 9, end fraction, equals, start fraction, 5, divided by, 9, end fraction

Ejemplo 2: recta numérica

¿Cómo podemos descomponer start fraction, 6, divided by, 4, end fraction?
Una manera de descomponer start fraction, 6, divided by, 4, end fraction es start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD, plus, start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD, plus, start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD, plus, start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD, plus, start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD, plus, start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD:
start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD, plus, start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD, plus, start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD, plus, start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD, plus, start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD, plus, start color purpleD, start fraction, 1, divided by, 4, end fraction, end color purpleD, equals, start fraction, start color purple, 1, end color purple, plus, start color purple, 1, end color purple, plus, start color purple, 1, end color purple, plus, start color purple, 1, end color purple, plus, start color purple, 1, end color purple, plus, start color purple, 1, end color purple, divided by, 4, end fraction, equals, start fraction, 6, divided by, 4, end fraction
Otra manera de descomponer start fraction, 6, divided by, 4, end fraction es start color blueD, start fraction, 3, divided by, 4, end fraction, end color blueD, plus, start color blueD, start fraction, 3, divided by, 4, end fraction, end color blueD:
start color blueD, start fraction, 3, divided by, 4, end fraction, end color blueD, plus, start color blueD, start fraction, 3, divided by, 4, end fraction, end color blueD, equals, start fraction, start color blueD, 3, end color blueD, plus, start color blueD, 3, end color blueD, divided by, 4, end fraction, equals, start fraction, 6, divided by, 4, end fraction
¿Quieres aprender más acerca de descomponer fracciones? Revisa este video.

Practica

Problem 1
¿Cuál de estas sumas es igual a start fraction, 14, divided by, 10, end fraction ?
Elige todas las respuestas adecuadas:
Elige todas las respuestas adecuadas:

¿Quieres intentar más problemas como este? Revisa este ejercicio.