MDC ou MMC?
Autor: Prof Tarcísio | Publicado: 2010-12-04T08:26:00-08:00

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 <![endif]-->  Determinar se um problema é de mdc ou de mmc, desafia a lógica de pensamento dos alunos.  O que você deve perceber é o que o comando do problema oferece e pede.  Nos problemas de mdc sempre há distribuição de algo ou de algumas coisas. Distribuir é o mesmo que dividir. Isso nos leva a pensar em divisor, ou seja, mdc.  Veja um exemplo de problema de mdc:  “Uma doceira tem em estoque 150 balas de coco, 180 balas de chocolate e 240 balas de leite. Quantas balas de cada sabor se deve colocar em caixas decoradas, sabendo que essas quantidades devem ser as maiores possíveis?”  Observe nesse problema a “distribuição” das balas nas caixas decoradas. Para distribuirmos as balas em quantidades iguais tanto no número de balas como nos sabores, devemos achar o mdc dos números 150, 180 e 240.  Nos problemas de mmc, a maioria dos problemas pede algo adiante (futuro), outro encontro, outra coincidência, etc.  Veja um exemplo de problema de mmc:  “Três automóveis disputam uma corrida em uma pista circular. O mais rápido deles dá uma volta em 10 minutos, outro leva 15 minutos e o terceiro e mais lento demora 18 minutos para dar uma volta completa. No fim de quanto tempo os três automóveis voltarão a se encontrar no inicio da pista se eles partiram exatamente no mesmo instante?”  Neste problema, perceba que os automóveis, depois da partida, passarão de novo por ela (num tempo futuro) novamente juntos (um encontro). Esse tempo estimado é o mmc de 150, 180 e 240.