3/4*(14/3)^2-3*14/3+4 eching

$$\frac { 3 } { 4 } \times ( \frac { 14 } { 3 } ) ^ { 2 } - 3 \times \frac { 14 } { 3 } + 4$$

Baholash

$$\frac{19}{3}\approx 6,333333333$$

Yechim qadamlari

2 daraja ko‘rsatkichini \frac{14}{3} ga hisoblang va \frac{196}{9} ni qiymatni oling.

$$\frac{3}{4}\times \frac{196}{9}-3\times \frac{14}{3}+4$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{196}{9} ga ko‘paytiring.

$$\frac{3\times 196}{4\times 9}-3\times \frac{14}{3}+4$$

\frac{3\times 196}{4\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{588}{36}-3\times \frac{14}{3}+4$$

\frac{588}{36} ulushini 12 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{49}{3}-3\times \frac{14}{3}+4$$

3 va 3 ni qisqartiring.

$$\frac{49}{3}-14+4$$

14 ni \frac{42}{3} kasrga o‘giring.

$$\frac{49}{3}-\frac{42}{3}+4$$

\frac{49}{3} va \frac{42}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{49-42}{3}+4$$

7 olish uchun 49 dan 42 ni ayirish.

$$\frac{7}{3}+4$$

4 ni \frac{12}{3} kasrga o‘giring.

$$\frac{7}{3}+\frac{12}{3}$$

\frac{7}{3} va \frac{12}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7+12}{3}$$

19 olish uchun 7 va 12'ni qo'shing.

$$\frac{19}{3}$$

Omil

$$\frac{19}{3} = 6\frac{1}{3} = 6,333333333333333$$