[(7/12 - 1/3) + 1/5] ÷ √9/4 é:
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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}}=}\\\\\\](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cleft%5B%5Cleft%28%5Cdfrac%7B7%7D%7B12%7D-%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%2B%5Cdfrac%7B1%7D%7B5%7D%5Cright%5D%2F%5Csqrt%7B%5Cdfrac%7B9%7D%7B4%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%5B%5Cleft%28%5Cdfrac%7B7-4%5Ccdot1%7D%7B12%7D%5Cright%29%2B%5Cdfrac%7B1%7D%7B5%7D%5Cright%5D%2F%5Cdfrac%7B3%7D%7B2%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%5B%5Cleft%28%5Cdfrac%7B7-4%7D%7B12%7D%5Cright%29%2B%5Cdfrac%7B1%7D%7B5%7D%5Cright%5D%2F%5Cdfrac%7B3%7D%7B2%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%5B%5Cleft%28%5Cdfrac%7B3%7D%7B12%7D%5Cright%29%2B%5Cdfrac%7B1%7D%7B5%7D%5Cright%5D%2F%5Cdfrac%7B3%7D%7B2%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%5B%5Cdfrac%7B3%7D%7B12%7D%2B%5Cdfrac%7B1%7D%7B5%7D%5Cright%5D%2F%5Cdfrac%7B3%7D%7B2%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cleft%5B%5Cdfrac%7B5%5Ccdot3%2B12%5Ccdot1%7D%7B12%5Ccdot5%7D%5Cright%5D%2F%5Cdfrac%7B3%7D%7B2%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C "\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}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cleft%5B%5Cdfrac%7B15%2B12%7D%7B60%7D%5Cright%5D%2F%5Cdfrac%7B3%7D%7B2%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Cleft%5B%5Cdfrac%7B27%7D%7B60%7D%5Cright%5D%2F%5Cdfrac%7B3%7D%7B2%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Cdfrac%7B27%7D%7B60%7D%2F%5Cdfrac%7B3%7D%7B2%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Cdfrac%7B27%7D%7B60%7D%5Ccdot%5Cdfrac%7B2%7D%7B3%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Cdfrac%7B27%5Ccdot2%7D%7B60%5Ccdot3%7D%3D%7D%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Cdfrac%7B54%7D%7B180%7D%3D%7D%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B%5Cdfrac%7B54%5E%7B%3A18%7D%7D%7B180%5E%7B%3A18%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C+%5Cboxed%7B%5Cmathsf%7B%5Cdfrac%7B3%7D%7B10%7D%3D0%2C3%7D%7D "\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}}")
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Bons estudos.
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