Kasr Bo'Lish
1. Masala: To‘g‘ri kasrni to‘g‘ri kasrga bo‘lish amallari to‘g‘ri yoki noto‘g‘ri bajarilganligini aniqlash.
2. Esda tutamiz: To‘g‘ri kasrni to‘g‘ri kasrga bo‘lish uchun birinchi kasrni ikkinchi kasrning teskari kasri bilan ko‘paytiramiz: $$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$.
3. Birinchi amalni tekshiramiz: $$\frac{4}{9} \div \frac{2}{3} = \frac{4}{9} \times \frac{3}{2} = \frac{4 \times 3}{9 \times 2} = \frac{12}{18} = \frac{2}{3}$$.
Berilgan javob: $$\frac{4}{27}$$, bu noto‘g‘ri.
4. Ikkinchi amalni tekshiramiz: $$\frac{3}{5} \div \frac{1}{10} = \frac{3}{5} \times \frac{10}{1} = \frac{3 \times 10}{5 \times 1} = \frac{30}{5} = 6$$.
Berilgan javob: $$\frac{3}{50}$$, bu noto‘g‘ri.
5. Uchinchi amalni tekshiramiz: $$\frac{11}{15} \div \frac{11}{18} = \frac{11}{15} \times \frac{18}{11} = \frac{11 \times 18}{15 \times 11} = \frac{18}{15} = \frac{6}{5} = 1.2$$.
Berilgan javob: $$\frac{3}{2} = 1.5$$, bu noto‘g‘ri.
Xulosa: barcha amallar "noto‘g‘ri" bajarilgan.
Javob: noto‘g‘ri; noto‘g‘ri; noto‘g‘ri.