Question

calcule o mdc e simplifique a fraçao por esse valor
84
72

Answer 1

mdc (84,72)

84 :  72 = 1 sobra 12
72 :  12 = 6 sobra 0
Logo mdc(84,72)=12

simplificando:

$\boxed{ \frac{84:12}{72:12}=\frac{7}{6} }$

Answer 2

Pelo Algoritmo do MDC de Euclides, temos:

$\text{mdc}(84, 72)=\text{mdc}(72, 84-72)=\text{mdc}(72, 12)=\text{mdc}(12, 72-12\cdot6)$

$=\text{mdc}(12, 0)=12$

Assim, simplificamos a fração $\dfrac{84}{72}$ por $12$, obtendo $\dfrac{\frac{84}{12}}{\frac{72}{12}}=\dfrac{7}{6}$