2/3+31/6+42/9+25/18 eching

$$\frac { 2 } { 3 } + 3 \frac { 1 } { 6 } + 4 \frac { 2 } { 9 } + 2 \frac { 5 } { 18 }$$

Baholash

$$\frac{31}{3}\approx 10,333333333$$

Yechim qadamlari

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

$$\frac{2}{3}+\frac{18+1}{6}+\frac{4\times 9+2}{9}+\frac{2\times 18+5}{18}$$

19 olish uchun 18 va 1'ni qo'shing.

$$\frac{2}{3}+\frac{19}{6}+\frac{4\times 9+2}{9}+\frac{2\times 18+5}{18}$$

3 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{2}{3} va \frac{19}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{4}{6}+\frac{19}{6}+\frac{4\times 9+2}{9}+\frac{2\times 18+5}{18}$$

\frac{4}{6} va \frac{19}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{4+19}{6}+\frac{4\times 9+2}{9}+\frac{2\times 18+5}{18}$$

23 olish uchun 4 va 19'ni qo'shing.

$$\frac{23}{6}+\frac{4\times 9+2}{9}+\frac{2\times 18+5}{18}$$

36 hosil qilish uchun 4 va 9 ni ko'paytirish.

$$\frac{23}{6}+\frac{36+2}{9}+\frac{2\times 18+5}{18}$$

38 olish uchun 36 va 2'ni qo'shing.

$$\frac{23}{6}+\frac{38}{9}+\frac{2\times 18+5}{18}$$

6 va 9 ning eng kichik umumiy karralisi 18 ga teng. \frac{23}{6} va \frac{38}{9} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{69}{18}+\frac{76}{18}+\frac{2\times 18+5}{18}$$

\frac{69}{18} va \frac{76}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{69+76}{18}+\frac{2\times 18+5}{18}$$

145 olish uchun 69 va 76'ni qo'shing.

$$\frac{145}{18}+\frac{2\times 18+5}{18}$$

36 hosil qilish uchun 2 va 18 ni ko'paytirish.

$$\frac{145}{18}+\frac{36+5}{18}$$

41 olish uchun 36 va 5'ni qo'shing.

$$\frac{145}{18}+\frac{41}{18}$$

\frac{145}{18} va \frac{41}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{145+41}{18}$$

186 olish uchun 145 va 41'ni qo'shing.

$$\frac{186}{18}$$

\frac{186}{18} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{31}{3}$$

Omil

$$\frac{31}{3} = 10\frac{1}{3} = 10,333333333333334$$