4/3-1/9-1/3+-3/2-1+frac{17}{18} eching

$$\frac{ 4 }{ 3 } - \frac{ 1 }{ 9 } - \frac{ 1 }{ 3 } +- \frac{ 3 }{ 2 } -1+ \frac{ 17 }{ 18 }$$

Baholash

$$-\frac{2}{3}\approx -0,666666667$$

Yechim qadamlari

3 va 9 ning eng kichik umumiy karralisi 9 ga teng. \frac{4}{3} va \frac{1}{9} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{12}{9}-\frac{1}{9}-\frac{1}{3}-\frac{3}{2}-1+\frac{17}{18}$$

\frac{12}{9} va \frac{1}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{12-1}{9}-\frac{1}{3}-\frac{3}{2}-1+\frac{17}{18}$$

11 olish uchun 12 dan 1 ni ayirish.

$$\frac{11}{9}-\frac{1}{3}-\frac{3}{2}-1+\frac{17}{18}$$

9 va 3 ning eng kichik umumiy karralisi 9 ga teng. \frac{11}{9} va \frac{1}{3} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{11}{9}-\frac{3}{9}-\frac{3}{2}-1+\frac{17}{18}$$

\frac{11}{9} va \frac{3}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{11-3}{9}-\frac{3}{2}-1+\frac{17}{18}$$

8 olish uchun 11 dan 3 ni ayirish.

$$\frac{8}{9}-\frac{3}{2}-1+\frac{17}{18}$$

9 va 2 ning eng kichik umumiy karralisi 18 ga teng. \frac{8}{9} va \frac{3}{2} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{16}{18}-\frac{27}{18}-1+\frac{17}{18}$$

\frac{16}{18} va \frac{27}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{16-27}{18}-1+\frac{17}{18}$$

-11 olish uchun 16 dan 27 ni ayirish.

$$-\frac{11}{18}-1+\frac{17}{18}$$

1 ni \frac{18}{18} kasrga o‘giring.

$$-\frac{11}{18}-\frac{18}{18}+\frac{17}{18}$$

-\frac{11}{18} va \frac{18}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-11-18}{18}+\frac{17}{18}$$

-29 olish uchun -11 dan 18 ni ayirish.

$$-\frac{29}{18}+\frac{17}{18}$$

-\frac{29}{18} va \frac{17}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-29+17}{18}$$

-12 olish uchun -29 va 17'ni qo'shing.

$$\frac{-12}{18}$$

\frac{-12}{18} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{2}{3}$$

Omil

$$-\frac{2}{3} = -0,6666666666666666$$