(14/5-33/8)div(-3/4)^2 eching

$$( 1 \frac { 4 } { 5 } - 3 \frac { 3 } { 8 } ) \div ( - \frac { 3 } { 4 } ) ^ { 2 }$$

Baholash

$$-\frac{14}{5}=-2,8$$

Yechim qadamlari

5 hosil qilish uchun 1 va 5 ni ko'paytirish.

$$\frac{\frac{5+4}{5}-\frac{3\times 8+3}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

9 olish uchun 5 va 4'ni qo'shing.

$$\frac{\frac{9}{5}-\frac{3\times 8+3}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

24 hosil qilish uchun 3 va 8 ni ko'paytirish.

$$\frac{\frac{9}{5}-\frac{24+3}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

27 olish uchun 24 va 3'ni qo'shing.

$$\frac{\frac{9}{5}-\frac{27}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

5 va 8 ning eng kichik umumiy karralisi 40 ga teng. \frac{9}{5} va \frac{27}{8} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{72}{40}-\frac{135}{40}}{\left(-\frac{3}{4}\right)^{2}}$$

\frac{72}{40} va \frac{135}{40} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{72-135}{40}}{\left(-\frac{3}{4}\right)^{2}}$$

-63 olish uchun 72 dan 135 ni ayirish.

$$\frac{-\frac{63}{40}}{\left(-\frac{3}{4}\right)^{2}}$$

2 daraja ko‘rsatkichini -\frac{3}{4} ga hisoblang va \frac{9}{16} ni qiymatni oling.

$$\frac{-\frac{63}{40}}{\frac{9}{16}}$$

-\frac{63}{40} ni \frac{9}{16} ga bo'lish -\frac{63}{40} ga k'paytirish \frac{9}{16} ga qaytarish.

$$-\frac{63}{40}\times \frac{16}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{63}{40} ni \frac{16}{9} ga ko‘paytiring.

$$\frac{-63\times 16}{40\times 9}$$

\frac{-63\times 16}{40\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-1008}{360}$$

\frac{-1008}{360} ulushini 72 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{14}{5}$$

Omil

$$-\frac{14}{5} = -2\frac{4}{5} = -2,8$$