Question

Solve

`1) \: y = (37.46)/(18) \\ \\ 2) \: y = \frac { - 37.46}{18}`
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Answer 1

`\stackrel{\textit{converting to a rational}}{37.\underline{46}\implies \cfrac{3746}{1\underline{00}}}\implies \cfrac{1873}{50} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{37.46}{18}\implies \cfrac{~~ (1873)/(50)~~}{18}\implies \cfrac{~~ (1873)/(50)~~}{(18)/(1)}\implies \cfrac{1873}{50}\cdot \cfrac{1}{18} \\\\\\ \cfrac{1873}{900}\implies 2(73)/(900)\implies \stackrel{a~rep eating~decimal}{2.08\overline{1}} \\\\[-0.35em] \rule{34em}{0.25pt}`

`\stackrel{\textit{converting to a rational}}{-37.\underline{46}\implies -\cfrac{3746}{1\underline{00}}}\implies -\cfrac{1873}{50} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{37.46}{18}\implies -\cfrac{~~ (1873)/(50)~~}{18}\implies -\cfrac{~~ (1873)/(50)~~}{(18)/(1)}\implies -\cfrac{1873}{50}\cdot \cfrac{1}{18} \\\\\\ -\cfrac{1873}{900}\implies -2(73)/(900)\implies \stackrel{a~rep eating~decimal}{-2.08\overline{1}}`