Question

10) arrange in ascending order and descending order

$\sf(i) \frac{ - 55}{12} \ \textless \ br /\ \textgreater \ , \frac{ - 11}{8}\ \textless \ br /\ \textgreater \ , \frac{ - 15}{24}\ \textless \ br /\ \textgreater \ , \frac{14}{29} \ \textless \ br /\ \textgreater \ ,\frac{12}{36}$

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Answer 1

To find:-

● LCM [Least common multiple]

●Ascending order

●Descending order

LCM:-

● LCM of 12,8,24,9,36

= 2×2×2×3×3

= 74

$\sf\frac{ - 15 \times 6}{12 \times 6} = \frac{ - 30}{72}$

$\sf\frac{ - 11 \times 9}{8 \times 9} = \frac{ - 99}{72}$

$\sf \frac{ - 15 \times 3}{24 \times 3} = \frac{ - 45}{72}$

$\frac{7 \times 8}{9 \times 8} = \frac{50}{72}$

$\sf \frac{12 \times 2}{36 \times 2} = \frac{24}{42}$

Ascending order:-

$\sf {\frac{ - 99}{72}, \frac{ - 45}{72} , \frac{ - 30}{72} , \frac{24}{72} , \frac{56}{72}.}</p><p>$

$\sf{ = \frac{ - 11}{8} , \frac{ - 15}{24} , \frac{ - 5}{12} , \frac{12}{36}, \frac{7}{9} .}$

Descending order:-

$\sf {\frac{7}{9} , \frac{12}{36} , \frac{ - 5}{12}, \frac{ - 15}{24} , \frac{ - 11}{8}.}$

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