(55/6)+(92/3)div(181/3)-40 eching

$$( 5 \frac { 5 } { 6 } ) + ( 9 \frac { 2 } { 3 } ) \div ( 18 \frac { 1 } { 3 } ) - 40$$

Baholash

$$-\frac{11101}{330}\approx -33,639393939$$

Yechim qadamlari

30 hosil qilish uchun 5 va 6 ni ko'paytirish.

$$\frac{30+5}{6}+\frac{\frac{9\times 3+2}{3}}{\frac{18\times 3+1}{3}}-40$$

35 olish uchun 30 va 5'ni qo'shing.

$$\frac{35}{6}+\frac{\frac{9\times 3+2}{3}}{\frac{18\times 3+1}{3}}-40$$

\frac{9\times 3+2}{3} ni \frac{18\times 3+1}{3} ga bo'lish \frac{9\times 3+2}{3} ga k'paytirish \frac{18\times 3+1}{3} ga qaytarish.

$$\frac{35}{6}+\frac{\left(9\times 3+2\right)\times 3}{3\left(18\times 3+1\right)}-40$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{35}{6}+\frac{2+3\times 9}{1+3\times 18}-40$$

27 hosil qilish uchun 3 va 9 ni ko'paytirish.

$$\frac{35}{6}+\frac{2+27}{1+3\times 18}-40$$

29 olish uchun 2 va 27'ni qo'shing.

$$\frac{35}{6}+\frac{29}{1+3\times 18}-40$$

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

$$\frac{35}{6}+\frac{29}{1+54}-40$$

55 olish uchun 1 va 54'ni qo'shing.

$$\frac{35}{6}+\frac{29}{55}-40$$

6 va 55 ning eng kichik umumiy karralisi 330 ga teng. \frac{35}{6} va \frac{29}{55} ni 330 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1925}{330}+\frac{174}{330}-40$$

\frac{1925}{330} va \frac{174}{330} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1925+174}{330}-40$$

2099 olish uchun 1925 va 174'ni qo'shing.

$$\frac{2099}{330}-40$$

40 ni \frac{13200}{330} kasrga o‘giring.

$$\frac{2099}{330}-\frac{13200}{330}$$

\frac{2099}{330} va \frac{13200}{330} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2099-13200}{330}$$

-11101 olish uchun 2099 dan 13200 ni ayirish.

$$-\frac{11101}{330}$$

Omil

$$-\frac{11101}{330} = -33\frac{211}{330} = -33,63939393939394$$