• Matéria: Matemática
  • Autor: gigymaria1
  • Perguntado 8 anos atrás

[(7/12 - 1/3) + 1/5] ÷ √9/4 é:

Respostas

respondido por: TesrX
3
Olá.

\mathsf{\left[\left(\dfrac{7}{12}-\dfrac{1}{3}\right)+\dfrac{1}{5}\right]/\sqrt{\dfrac{9}{4}}=}\\\\\\
\mathsf{\left[\left(\dfrac{7-4\cdot1}{12}\right)+\dfrac{1}{5}\right]/\dfrac{3}{2}}=}\\\\\\
\mathsf{\left[\left(\dfrac{7-4}{12}\right)+\dfrac{1}{5}\right]/\dfrac{3}{2}}=}\\\\\\
\mathsf{\left[\left(\dfrac{3}{12}\right)+\dfrac{1}{5}\right]/\dfrac{3}{2}}=}\\\\\\
\mathsf{\left[\dfrac{3}{12}+\dfrac{1}{5}\right]/\dfrac{3}{2}}=}\\\\\\
\mathsf{\left[\dfrac{5\cdot3+12\cdot1}{12\cdot5}\right]/\dfrac{3}{2}}=}\\\\\\

\mathsf{\left[\dfrac{15+12}{60}\right]/\dfrac{3}{2}}=}\\\\\\ \mathsf{\left[\dfrac{27}{60}\right]/\dfrac{3}{2}}=}\\\\\\ \mathsf{\dfrac{27}{60}/\dfrac{3}{2}}=}\\\\\\ \mathsf{\dfrac{27}{60}\cdot\dfrac{2}{3}}=}\\\\\\ \mathsf{\dfrac{27\cdot2}{60\cdot3}=}\\\\\\ \mathsf{\dfrac{54}{180}=}\\\\\\ \mathsf{\dfrac{54^{:18}}{180^{:18}}=}\\\\\\ \boxed{\mathsf{\dfrac{3}{10}=0,3}}

Qualquer dúvida, deixe nos comentários.
Bons estudos.
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