-3216/25div(-8*4)+25^2+(1/2+2/3-3/4-frac{11}{12})*24 eching

$$- 32 \frac { 16 } { 25 } \div ( - 8 \times 4 ) + 25 ^ { 2 } + ( \frac { 1 } { 2 } + \frac { 2 } { 3 } - \frac { 3 } { 4 } - \frac { 11 } { 12 } ) \times 24$$

Baholash

$$\frac{30701}{50}=614,02$$

Yechim qadamlari

800 hosil qilish uchun 32 va 25 ni ko'paytirish.

$$\frac{-\frac{800+16}{25}}{-8\times 4}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

816 olish uchun 800 va 16'ni qo'shing.

$$\frac{-\frac{816}{25}}{-8\times 4}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

-32 hosil qilish uchun -8 va 4 ni ko'paytirish.

$$\frac{-\frac{816}{25}}{-32}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

\frac{-\frac{816}{25}}{-32} ni yagona kasrga aylantiring.

$$\frac{-816}{25\left(-32\right)}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

-800 hosil qilish uchun 25 va -32 ni ko'paytirish.

$$\frac{-816}{-800}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

\frac{-816}{-800} ulushini -16 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{51}{50}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

2 daraja ko‘rsatkichini 25 ga hisoblang va 625 ni qiymatni oling.

$$\frac{51}{50}+625+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

625 ni \frac{31250}{50} kasrga o‘giring.

$$\frac{51}{50}+\frac{31250}{50}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

\frac{51}{50} va \frac{31250}{50} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{51+31250}{50}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

31301 olish uchun 51 va 31250'ni qo'shing.

$$\frac{31301}{50}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{2}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{31301}{50}+\left(\frac{3}{6}+\frac{4}{6}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

\frac{3}{6} va \frac{4}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{31301}{50}+\left(\frac{3+4}{6}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

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

$$\frac{31301}{50}+\left(\frac{7}{6}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

6 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{7}{6} va \frac{3}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{31301}{50}+\left(\frac{14}{12}-\frac{9}{12}-\frac{11}{12}\right)\times 24$$

\frac{14}{12} va \frac{9}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{31301}{50}+\left(\frac{14-9}{12}-\frac{11}{12}\right)\times 24$$

5 olish uchun 14 dan 9 ni ayirish.

$$\frac{31301}{50}+\left(\frac{5}{12}-\frac{11}{12}\right)\times 24$$

\frac{5}{12} va \frac{11}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{31301}{50}+\frac{5-11}{12}\times 24$$

-6 olish uchun 5 dan 11 ni ayirish.

$$\frac{31301}{50}+\frac{-6}{12}\times 24$$

\frac{-6}{12} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{31301}{50}-\frac{1}{2}\times 24$$

-\frac{1}{2}\times 24 ni yagona kasrga aylantiring.

$$\frac{31301}{50}+\frac{-24}{2}$$

-12 ni olish uchun -24 ni 2 ga bo‘ling.

$$\frac{31301}{50}-12$$

12 ni \frac{600}{50} kasrga o‘giring.

$$\frac{31301}{50}-\frac{600}{50}$$

\frac{31301}{50} va \frac{600}{50} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{31301-600}{50}$$

30701 olish uchun 31301 dan 600 ni ayirish.

$$\frac{30701}{50}$$

Omil

$$\frac{11 \cdot 2791}{2 \cdot 5 ^ {2}} = 614\frac{1}{50} = 614,02$$