51-60. a, b, c sonlarini o'sish tartibida joylashtiring.

Sonlarni o'sish tartibida joylashtirish

Berilgan kasrlarni taqqoslab, ularni o'sish tartibida joylashtiramiz.

51-son.

\( a = \frac{2}{3}, b = \frac{3}{4}, c = \frac{7}{12} \)

Umumiy maxraj 12.

\( a = \frac{2 \cdot 4}{3 \cdot 4} = \frac{8}{12} \)

\( b = \frac{3 \cdot 3}{4 \cdot 3} = \frac{9}{12} \)

\( c = \frac{7}{12} \)

\( \frac{7}{12} < \frac{8}{12} < \frac{9}{12} \), demak \( c < a < b \).

52-son.

\( a = \frac{5}{6}, b = \frac{7}{8}, c = \frac{19}{24} \)

Umumiy maxraj 24.

\( a = \frac{5 \cdot 4}{6 \cdot 4} = \frac{20}{24} \)

\( b = \frac{7 \cdot 3}{8 \cdot 3} = \frac{21}{24} \)

\( c = \frac{19}{24} \)

\( \frac{19}{24} < \frac{20}{24} < \frac{21}{24} \), demak \( c < a < b \).

Ответ: 51. c < a < b; 52. c < a < b.