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Lição 10: Decomposição de frações

Decompor frações (revisão)

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Revê o conceito de decompor frações e tenta resolver alguns problemas.

Decomposição de frações

Para decompor um número, dividimo-lo em partes mais pequenas.

[Mostrem-me um exemplo]

As frações, tal como todos os números, podem ser decompostas de várias formas.

[Mostrem-me um exemplo]

Exemplo 1: Diagrama de fita

Vamos decompor start fraction, 5, divided by, 9, end fraction.

Uma forma de decompor start fraction, 5, divided by, 9, end fraction é start color #e07d10, start fraction, 2, divided by, 9, end fraction, end color #e07d10, plus, start color #1fab54, start fraction, 3, divided by, 9, end fraction, end color #1fab54:

start color #e07d10, start fraction, 2, divided by, 9, end fraction, end color #e07d10, plus, start color #1fab54, start fraction, 3, divided by, 9, end fraction, end color #1fab54, equals, start fraction, start color #e07d10, 2, end color #e07d10, plus, start color #1fab54, 3, end color #1fab54, divided by, 9, end fraction, equals, start fraction, 5, divided by, 9, end fraction

Outra forma de decompor start fraction, 5, divided by, 9, end fraction é start color #7854ab, start fraction, 1, divided by, 9, end fraction, end color #7854ab, plus, start color #e84d39, start fraction, 2, divided by, 9, end fraction, end color #e84d39, plus, start color #01a995, start fraction, 2, divided by, 9, end fraction, end color #01a995:

start color #7854ab, start fraction, 1, divided by, 9, end fraction, end color #7854ab, plus, start color #e84d39, start fraction, 2, divided by, 9, end fraction, end color #e84d39, plus, start color #01a995, start fraction, 2, divided by, 9, end fraction, end color #01a995, equals, start fraction, start color #7854ab, 1, end color #7854ab, plus, start color #e84d39, 2, end color #e84d39, plus, start color #01a995, 2, end color #01a995, divided by, 9, end fraction, equals, start fraction, 5, divided by, 9, end fraction

Exemplo 2: Reta numérica

Como podemos decompor start fraction, 6, divided by, 4, end fraction?

Uma forma de decompor start fraction, 6, divided by, 4, end fraction é start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab:

start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, plus, start color #7854ab, start fraction, 1, divided by, 4, end fraction, end color #7854ab, equals, start fraction, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, plus, start color #9d38bd, 1, end color #9d38bd, divided by, 4, end fraction, equals, start fraction, 6, divided by, 4, end fraction

Outra forma de decompor start fraction, 6, divided by, 4, end fraction é start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd, plus, start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd:

start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd, plus, start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd, equals, start fraction, start color #11accd, 3, end color #11accd, plus, start color #11accd, 3, end color #11accd, divided by, 4, end fraction, equals, start fraction, 6, divided by, 4, end fraction

Queres aprender mais sobre decomposição de frações? Vê este vídeo.

Praticar

Problema 1

Atual

Quais destas somas são iguais a start fraction, 14, divided by, 10, end fraction ?

(Escolha A)
start fraction, 5, divided by, 10, end fraction, plus, start fraction, 5, divided by, 10, end fraction, plus, start fraction, 4, divided by, 10, end fraction
(Escolha B)
start fraction, 1, divided by, 10, end fraction, plus, start fraction, 1, divided by, 10, end fraction, plus, start fraction, 2, divided by, 10, end fraction, plus, start fraction, 10, divided by, 10, end fraction
(Escolha C)
start fraction, 3, divided by, 10, end fraction, plus, start fraction, 8, divided by, 10, end fraction, plus, start fraction, 5, divided by, 10, end fraction

Queres resolver mais exercícios destes? Vê este exercício.

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