Question

Arrange the following rational numbers in ascending order: -13/5,-2,7/-3,2/3​

Answer 1

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Answer 2

Answer:

$\frac{ - 13}{5} \: - 2 \: \: \frac{7}{ - 3} \: \frac{2}{3 } \\ = \frac{ - 13 \times 3}{5 \times3 } \: \: \frac{ - 2 \times 15}{15} \: \: \frac{7 \times 5}{ - 3 \times 5 \: \: \frac{2 \times 5}{3 \times 5 } } \\ = \frac{ - 39}{15 } \: \: \frac{ - 30}{15} \: \: \frac{ - 35}{15} \: \: \frac{10}{15}$

In ascending order:

$\frac{ - 39}{15} < \frac{ - 35}{15} \: < \: \frac{ - 30}{15} \: < \: \frac{10}{15} \\ = \frac{ - 13}{5} < \frac{7}{ - 3} < - 2 < \frac{2}{3}$