{[(1/7-7/3)*1/5]-4/3} eching

$$\{ [ ( \frac { 1 } { 7 } - \frac { 7 } { 3 } ) * \frac { 1 } { 5 } ] - \frac { 4 } { 3 } \}$$

Baholash

$$-\frac{62}{35}\approx -1,771428571$$

Yechim qadamlari

7 va 3 ning eng kichik umumiy karralisi 21 ga teng. \frac{1}{7} va \frac{7}{3} ni 21 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{3}{21}-\frac{49}{21}\right)\times \frac{1}{5}-\frac{4}{3}$$

\frac{3}{21} va \frac{49}{21} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3-49}{21}\times \frac{1}{5}-\frac{4}{3}$$

-46 olish uchun 3 dan 49 ni ayirish.

$$-\frac{46}{21}\times \frac{1}{5}-\frac{4}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{46}{21} ni \frac{1}{5} ga ko‘paytiring.

$$\frac{-46}{21\times 5}-\frac{4}{3}$$

\frac{-46}{21\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-46}{105}-\frac{4}{3}$$

\frac{-46}{105} kasri manfiy belgini olib tashlash bilan -\frac{46}{105} sifatida qayta yozilishi mumkin.

$$-\frac{46}{105}-\frac{4}{3}$$

105 va 3 ning eng kichik umumiy karralisi 105 ga teng. -\frac{46}{105} va \frac{4}{3} ni 105 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{46}{105}-\frac{140}{105}$$

-\frac{46}{105} va \frac{140}{105} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-46-140}{105}$$

-186 olish uchun -46 dan 140 ni ayirish.

$$\frac{-186}{105}$$

\frac{-186}{105} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{62}{35}$$

Omil

$$-\frac{62}{35} = -1\frac{27}{35} = -1,7714285714285714$$