Question : The arrangement of the fractions $\frac{4}{3}, -\frac{2}{9}, -\frac{7}{8}, \frac{5}{12}$ in ascending order is _____.
Option 1: $–\frac{7}{8}, –\frac{2}{9}, \frac{5}{12}, \frac{4}{3}$
Option 2: $–\frac{7}{8}, –\frac{2}{9}, \frac{4}{3}, \frac{5}{12}$
Option 3: $–\frac{2}{9}, –\frac{7}{8}, \frac{5}{12}, \frac{4}{3}$
Option 4: $–\frac{2}{9}, –\frac{7}{8}, \frac{4}{3}, \frac{5}{12}$
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Correct Answer: $–\frac{7}{8}, –\frac{2}{9}, \frac{5}{12}, \frac{4}{3}$
Solution : $\frac{4}{3}, -\frac{2}{9}, -\frac{7}{8}, \frac{5}{12}$ LCM of (3, 9, 8 and 12) = 72 Multiply 72 with each fraction, We get 96, –16, –63, 30 In ascending order (– 63 < – 16 < 30 < 96) ⇒ $-\frac{7}{8}, -\frac{2}{9}, \frac{5}{12}, \frac{4}{3}$ Hence, the correct answer is $–\frac{7}{8}, –\frac{2}{9}, \frac{5}{12}, \frac{4}{3}$.
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