left(43/8+12/7-25/14110/11right)-1frac{1}{3} eching

$$\left( 4 \frac{ 3 }{ 8 } +1 \frac{ 2 }{ 7 } -2 \frac{ 5 }{ 14 } 1 \frac{ 10 }{ 11 } \right) -1 \frac{ 1 }{ 3 }$$

Baholash

$$-\frac{29}{168}\approx -0,172619048$$

Yechim qadamlari

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

$$\frac{32+3}{8}+\frac{1\times 7+2}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

35 olish uchun 32 va 3'ni qo'shing.

$$\frac{35}{8}+\frac{1\times 7+2}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

7 hosil qilish uchun 1 va 7 ni ko'paytirish.

$$\frac{35}{8}+\frac{7+2}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

9 olish uchun 7 va 2'ni qo'shing.

$$\frac{35}{8}+\frac{9}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

8 va 7 ning eng kichik umumiy karralisi 56 ga teng. \frac{35}{8} va \frac{9}{7} ni 56 maxraj bilan kasrlarga aylantirib oling.

$$\frac{245}{56}+\frac{72}{56}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

\frac{245}{56} va \frac{72}{56} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{245+72}{56}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

317 olish uchun 245 va 72'ni qo'shing.

$$\frac{317}{56}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

28 hosil qilish uchun 2 va 14 ni ko'paytirish.

$$\frac{317}{56}-\frac{28+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

33 olish uchun 28 va 5'ni qo'shing.

$$\frac{317}{56}-\frac{33}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

11 hosil qilish uchun 1 va 11 ni ko'paytirish.

$$\frac{317}{56}-\frac{33}{14}\times \frac{11+10}{11}-\frac{1\times 3+1}{3}$$

21 olish uchun 11 va 10'ni qo'shing.

$$\frac{317}{56}-\frac{33}{14}\times \frac{21}{11}-\frac{1\times 3+1}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{33}{14} ni \frac{21}{11} ga ko‘paytiring.

$$\frac{317}{56}-\frac{33\times 21}{14\times 11}-\frac{1\times 3+1}{3}$$

\frac{33\times 21}{14\times 11} kasridagi ko‘paytirishlarni bajaring.

$$\frac{317}{56}-\frac{693}{154}-\frac{1\times 3+1}{3}$$

\frac{693}{154} ulushini 77 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{317}{56}-\frac{9}{2}-\frac{1\times 3+1}{3}$$

56 va 2 ning eng kichik umumiy karralisi 56 ga teng. \frac{317}{56} va \frac{9}{2} ni 56 maxraj bilan kasrlarga aylantirib oling.

$$\frac{317}{56}-\frac{252}{56}-\frac{1\times 3+1}{3}$$

\frac{317}{56} va \frac{252}{56} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{317-252}{56}-\frac{1\times 3+1}{3}$$

65 olish uchun 317 dan 252 ni ayirish.

$$\frac{65}{56}-\frac{1\times 3+1}{3}$$

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$\frac{65}{56}-\frac{3+1}{3}$$

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

$$\frac{65}{56}-\frac{4}{3}$$

56 va 3 ning eng kichik umumiy karralisi 168 ga teng. \frac{65}{56} va \frac{4}{3} ni 168 maxraj bilan kasrlarga aylantirib oling.

$$\frac{195}{168}-\frac{224}{168}$$

\frac{195}{168} va \frac{224}{168} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{195-224}{168}$$

-29 olish uchun 195 dan 224 ni ayirish.

$$-\frac{29}{168}$$

Omil

$$-\frac{29}{168} = -0,17261904761904762$$