1/1*2+1/2*3+1/3*4 eching

$$\frac{ 1 }{ 1 \times 2 } + \frac{ 1 }{ 2 \times 3 } + \frac{ 1 }{ 3 \times 4 }$$

Baholash

$$\frac{3}{4}=0,75$$

Yechim qadamlari

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\frac{1}{2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{1}{2}+\frac{1}{6}+\frac{1}{3\times 4}$$

2 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{1}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{6}+\frac{1}{6}+\frac{1}{3\times 4}$$

\frac{3}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+1}{6}+\frac{1}{3\times 4}$$

4 olish uchun 3 va 1'ni qo'shing.

$$\frac{4}{6}+\frac{1}{3\times 4}$$

\frac{4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}+\frac{1}{3\times 4}$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{2}{3}+\frac{1}{12}$$

3 va 12 ning eng kichik umumiy karralisi 12 ga teng. \frac{2}{3} va \frac{1}{12} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{8}{12}+\frac{1}{12}$$

\frac{8}{12} va \frac{1}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{8+1}{12}$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{9}{12}$$

\frac{9}{12} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{4}$$

Omil

$$\frac{3}{2 ^ {2}} = 0,75$$