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Aritmética

Curso: Aritmética > Unidade 9

Lição 3: Decomposição de frações

Revisão da decomposição de frações

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Revise os conceitos básicos de como decompor frações, e resolva alguns problemas práticos.

Decomposição de frações

Para decompor um número, nós o dividimos em partes menores.

[Mostre-me um exemplo]

As frações, como todos os números, podem ser decompostas de diversas maneiras.

[Mostre-me um exemplo]

Exemplo 1: diagrama de fita

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

Uma maneira de decompor start fraction, 5, divided by, 9, end fraction éstart 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 maneira 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 maneira 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 maneira 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

Quer aprender mais sobre como decompor frações? Confira este vídeo.

Prática

Problema 1

Atual

Quais dessas 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

Quer resolver outros problemas como este? Confira este exercício.

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