Question

Determine o valor da seguinte expressão numérica:

(6/5 - 3/10 - 1/15) + (11/15 - 1/2)

Obs: quero entender passo a passo e quero saber se posso usar a regra de cancelamento nesse caso

Answer 1

Bom dia Josiane!

Solução!

$\left ( \dfrac{6}{5}- \dfrac{3}{10}- \dfrac{1}{15} \right )+\left ( \dfrac{11}{15}- \dfrac{1}{2} \right )\\\\\\\ \left ( \dfrac{6}{5}- \dfrac{3}{10}- \dfrac{1}{15} + \dfrac{11}{15}- \dfrac{1}{2} \right )$




Veja que a operação matemática tem frações,obrigatoriamente precisamos fazer o MMC dos denominadores.

$5~~10~~15~~2|2\\ 5~~~5~~~15~1|3\\ 5~~~5~~~5~~1|5\\ 1~~~1~~~1~~1\\\\\\\ MMC=2\times3\times5=30$

Com o MMC pronto divide pelo denominador e multiplica pelo numerador.

$[tex]\left( \dfrac{6}{5}- \dfrac{3}{10}- \dfrac{1}{15} + \dfrac{11}{15}- \dfrac{1}{2} \right )\\\\\\\\ \left( \dfrac{36-9-2+22-15}{30} \right )\\\\\\\\ \left( \dfrac{36+22-9-2-15}{30} \right )\\\\\\\\ \left( \dfrac{58-26}{30} \right )\\\\\\\\ \left( \dfrac{32}{30} \right )\\\\\\\\ Simplificando~~a~~fra\c~\~cao~~por~~2~~chegamos~~ao resultado~~de:\\\\\\\\ \left( \dfrac{32:2}{30:2} \right )=\left( \dfrac{16}{15} \right )\\\\\\\\\ \boxed{Resposta: \dfrac{16}{15}}$

Bom dia!
Bons estudos!