(-45/9)-(-31/6)-24/9+31/6= eching

$$( - 4 \frac { 5 } { 9 } ) - ( - 3 \frac { 1 } { 6 } ) - 2 \frac { 4 } { 9 } + 3 \frac { 1 } { 6 } =$$

Baholash

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

Yechim qadamlari

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

$$-\frac{36+5}{9}-\left(-\frac{3\times 6+1}{6}\right)-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

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

$$-\frac{41}{9}-\left(-\frac{3\times 6+1}{6}\right)-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

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

$$-\frac{41}{9}-\left(-\frac{18+1}{6}\right)-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

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

$$-\frac{41}{9}-\left(-\frac{19}{6}\right)-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

-\frac{19}{6} ning teskarisi \frac{19}{6} ga teng.

$$-\frac{41}{9}+\frac{19}{6}-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

9 va 6 ning eng kichik umumiy karralisi 18 ga teng. -\frac{41}{9} va \frac{19}{6} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{82}{18}+\frac{57}{18}-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

-\frac{82}{18} va \frac{57}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-82+57}{18}-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

-25 olish uchun -82 va 57'ni qo'shing.

$$-\frac{25}{18}-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$-\frac{25}{18}-\frac{18+4}{9}+\frac{3\times 6+1}{6}$$

22 olish uchun 18 va 4'ni qo'shing.

$$-\frac{25}{18}-\frac{22}{9}+\frac{3\times 6+1}{6}$$

18 va 9 ning eng kichik umumiy karralisi 18 ga teng. -\frac{25}{18} va \frac{22}{9} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{25}{18}-\frac{44}{18}+\frac{3\times 6+1}{6}$$

-\frac{25}{18} va \frac{44}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-25-44}{18}+\frac{3\times 6+1}{6}$$

-69 olish uchun -25 dan 44 ni ayirish.

$$\frac{-69}{18}+\frac{3\times 6+1}{6}$$

\frac{-69}{18} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{23}{6}+\frac{3\times 6+1}{6}$$

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

$$-\frac{23}{6}+\frac{18+1}{6}$$

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

$$-\frac{23}{6}+\frac{19}{6}$$

-\frac{23}{6} va \frac{19}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-23+19}{6}$$

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

$$\frac{-4}{6}$$

\frac{-4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Omil

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