Question

quer se dividir três peças de tecido que medem respectivamente 180 M 216 m e 288 M em partes iguais e do maior tamanho possível Qual é a medida de cada uma dessas partes? ​

Answer 1

Podemos determinar a medida de cada uma destas partes, calculando o MDC entre 180, 216 e 288, acompanhe:

$180~,~216~,~288~~|~~\boxed{2}\\~~\,90~,~108~,~144~~|~~\boxed{2}\\~~\,45~,~~\,54~,~~\,72~~|~~2\\~~\,45~,~~\,27~,~~\,36~~|~~2\\~~\,45~,~~\,27~,~~\,18~~|~~2\\~~\,45~,~~\,27~,~~\,09~~|~~\boxed{3}\\~~\,15~,~~\,09~,~~\,03~~|~~\boxed{3}\\~~\,05~,~~\,03~,~~\,01~~|~~3\\~~\,05~,~~\,01~,~~\,01~~|~~5\\~~\,01~,~~\,01~,~~\,01~~|~~\rightarrow~~MDC(180,216,288)~=~2~.~2~.~3~.~3~=~\boxed{36}$

Logo, teremos partes medindo 36m.

Answer 2

Resposta:

36 metros. espero ter ajudado