Mathematics, 30.09.2019 00:20 anggar20
Find the repeating decimal between -2 1/3 and -2 1/5.
Answers: 1
![\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}}~\hfill \stackrel{mixed}{2\frac{1}{5}}\implies \cfrac{2\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{11}{5}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{multiplying one by the other's denominator}}{\cfrac{7}{3}\cdot \cfrac{5}{5}\implies \boxed{\cfrac{35}{15}}\qquad \qquad \cfrac{11}{5}\cdot \cfrac{3}{3}\implies \boxed{\cfrac{33}{15}}} \\\\[-0.35em] ~\dotfill](/tpl/images/0275/0622/84356.png)
![\bf \boxed{-\cfrac{35}{15}}\rule[0.35em]{9em}{0.25pt}~~\underset{\underset{\textit{\large -2.66666666...}}{\uparrow} }{-\cfrac{34}{15}}~~\rule[0.35em]{9em}{0.25pt}\boxed{-\cfrac{33}{15}}](/tpl/images/0275/0622/229e7.png)
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Find the repeating decimal between -2 1/3 and -2 1/5....
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