Question

simplifique as frações usando o mdc 8/16,24/18 e 12/20​

Answer 1

Simplificando as frações usando o Máximo Divisor Comum:

$\begin{array}{rr|l}8&16&2\star\\4&8&2\star\\2&4&2\star\\1&2&2\\1&1&\!\!\!\overline{~\:2\cdot 2\cdot2=8~}\end{array}$

$MDC(8,16)=8$

$\boxed{\dfrac{8}{16}=\dfrac{8\div8}{16\div8}=\dfrac{1}{2}}$

$\begin{array}{rr|l}24&18&2\star\\12&9&2\\6&9&2\\3&9&3\star\\1&3&3\\1&1&\!\!\!\overline{~\:2\cdot3=6~}\end{array}$

$MDC(24,18)= 6$

$\boxed{\dfrac{24}{18}=\dfrac{24\div6}{18\div6}=\dfrac{4}{3}}$

$\begin{array}{rr|l}12&20&2\star\\6&10&2\star\\3&5&3\\1&5&5\\1&1&\!\!\!\overline{~\:2\cdot2=4~}\end{array}$

$MDC(12,20)=4$

$\boxed{\dfrac{12}{20}=\dfrac{12\div4}{20\div4}=\dfrac{3}{5}}$