Oddiy kasrlar va ular ustida amallar bo‘yicha savol

Birinchi qadamda aralash sonlarni oddiy kasrlarga aylantiramiz: $2\frac{4}{11}=2+\frac{4}{11}=\frac{22}{11}+\frac{4}{11}=\frac{26}{11}$, $1\frac{7}{45}=1+\frac{7}{45}=\frac{45}{45}+\frac{7}{45}=\frac{52}{45}$. Keyin bo‘lish amali o‘rniga bo‘linadigan sonni ko‘paytiruvchi bilan ko‘paytiramiz: $\displaystyle \frac{26}{11}\div\frac{52}{45}= \frac{26}{11}\times\frac{45}{52}$. Kesrlarni qisqartiramiz: $\frac{26}{52}= \frac{1}{2}$, $\frac{45}{11}$ esa qisqarmaydi. Shuning uchun $\displaystyle \frac{26}{11}\times\frac{45}{52}= \frac{1}{2}\times\frac{45}{11}= \frac{45}{22}=2\frac{1}{22}$. Demak, javob $2\frac{1}{22}$, ya’ni variant **B**.