(-2/3)*(-13/4)*24/5+(-21/3)= eching

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

Baholash

$$\frac{14}{15}\approx 0,933333333$$

Yechim qadamlari

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

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

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

$$-\frac{2}{3}\left(-\frac{7}{4}\right)\times \frac{2\times 5+4}{5}-\frac{2\times 3+1}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{2}{3} ni -\frac{7}{4} ga ko‘paytiring.

$$\frac{-2\left(-7\right)}{3\times 4}\times \frac{2\times 5+4}{5}-\frac{2\times 3+1}{3}$$

\frac{-2\left(-7\right)}{3\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{14}{12}\times \frac{2\times 5+4}{5}-\frac{2\times 3+1}{3}$$

\frac{14}{12} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{6}\times \frac{2\times 5+4}{5}-\frac{2\times 3+1}{3}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{7}{6}\times \frac{10+4}{5}-\frac{2\times 3+1}{3}$$

14 olish uchun 10 va 4'ni qo'shing.

$$\frac{7}{6}\times \frac{14}{5}-\frac{2\times 3+1}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{6} ni \frac{14}{5} ga ko‘paytiring.

$$\frac{7\times 14}{6\times 5}-\frac{2\times 3+1}{3}$$

\frac{7\times 14}{6\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{98}{30}-\frac{2\times 3+1}{3}$$

\frac{98}{30} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{49}{15}-\frac{2\times 3+1}{3}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{49}{15}-\frac{6+1}{3}$$

7 olish uchun 6 va 1'ni qo'shing.

$$\frac{49}{15}-\frac{7}{3}$$

15 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{49}{15} va \frac{7}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{49}{15}-\frac{35}{15}$$

\frac{49}{15} va \frac{35}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{49-35}{15}$$

14 olish uchun 49 dan 35 ni ayirish.

$$\frac{14}{15}$$

Omil

$$\frac{2 \cdot 7}{3 \cdot 5} = 0,9333333333333333$$