6. ODDIY KASRLAR VA ULAR USTIDA AMALLAR. 46-50. Kasrlarni taqqoslang.

Kasrlarni taqqoslash

Taqqoslash uchun kasrlarni umumiy maxrajga keltirish yoki ularning qiymatlarini topish kerak.

46-son.

\( a = \frac{2}{3}, b = \frac{5}{6} \)

\( \frac{2}{3} = \frac{2 \cdot 2}{3 \cdot 2} = \frac{4}{6} \)

\( \frac{4}{6} < \frac{5}{6} \), demak \( a < b \).

47-son.

\( a = \frac{5}{8}, b = \frac{3}{4} \)

\( \frac{3}{4} = \frac{3 \cdot 2}{4 \cdot 2} = \frac{6}{8} \)

\( \frac{5}{8} < \frac{6}{8} \), demak \( a < b \).

48-son.

\( a = \frac{2}{13}, b = \frac{5}{39} \)

\( \frac{2}{13} = \frac{2 \cdot 3}{13 \cdot 3} = \frac{6}{39} \)

\( \frac{6}{39} > \frac{5}{39} \), demak \( a > b \).

49-son.

\( a = \frac{5}{18}, b = \frac{7}{24} \)

Umumiy maxraj 72.

\( \frac{5}{18} = \frac{5 \cdot 4}{18 \cdot 4} = \frac{20}{72} \)

\( \frac{7}{24} = \frac{7 \cdot 3}{24 \cdot 3} = \frac{21}{72} \)

\( \frac{20}{72} < \frac{21}{72} \), demak \( a < b \).

50-son.

\( a = \frac{6}{49}, b = \frac{2}{21} \)

Umumiy maxraj 147.

\( \frac{6}{49} = \frac{6 \cdot 3}{49 \cdot 3} = \frac{18}{147} \)

\( \frac{2}{21} = \frac{2 \cdot 7}{21 \cdot 7} = \frac{14}{147} \)

\( \frac{18}{147} > \frac{14}{147} \), demak \( a > b \).

Ответ: 46. a < b; 47. a < b; 48. a > b; 49. a < b; 50. a > b.