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The arrangement of rational numbers, $$\frac{- 7}{10}$$, $$\frac{5}{- 8}$$, $$\frac{2}{- 3}$$ in ascending order is :
Answer & Solution
Correct Answer:
Option
D
$$\frac{- 7}{10}$$ = - 0.7
$$\frac{5}{- 8}$$ = - $$\frac{5}{8}$$ = - 0.625,
$$\frac{2}{- 3}$$ = - $$\frac{2}{3}$$ = - 0.66
Since, -0.7 < -0.66 < -0.625
So, $$\frac{- 7}{10}$$ < $$\frac{2}{- 3}$$ < $$\frac{5}{- 8}$$
$$\frac{5}{- 8}$$ = - $$\frac{5}{8}$$ = - 0.625,
$$\frac{2}{- 3}$$ = - $$\frac{2}{3}$$ = - 0.66
Since, -0.7 < -0.66 < -0.625
So, $$\frac{- 7}{10}$$ < $$\frac{2}{- 3}$$ < $$\frac{5}{- 8}$$
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