[(2/5)(4/3)-(1/3+2)]/1+[3(frac{1{2})]}= eching

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

Baholash

$$-\frac{18}{25}=-0,72$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{5} ni \frac{4}{3} ga ko‘paytiring.

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

\frac{2\times 4}{5\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{8}{15}-\left(\frac{1}{3}+2\right)}{1+3\times \frac{1}{2}}$$

2 ni \frac{6}{3} kasrga o‘giring.

$$\frac{\frac{8}{15}-\left(\frac{1}{3}+\frac{6}{3}\right)}{1+3\times \frac{1}{2}}$$

\frac{1}{3} va \frac{6}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{8}{15}-\frac{1+6}{3}}{1+3\times \frac{1}{2}}$$

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

$$\frac{\frac{8}{15}-\frac{7}{3}}{1+3\times \frac{1}{2}}$$

15 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{8}{15} va \frac{7}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{8}{15}-\frac{35}{15}}{1+3\times \frac{1}{2}}$$

\frac{8}{15} va \frac{35}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{8-35}{15}}{1+3\times \frac{1}{2}}$$

-27 olish uchun 8 dan 35 ni ayirish.

$$\frac{\frac{-27}{15}}{1+3\times \frac{1}{2}}$$

\frac{-27}{15} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-\frac{9}{5}}{1+3\times \frac{1}{2}}$$

\frac{3}{2} hosil qilish uchun 3 va \frac{1}{2} ni ko'paytirish.

$$\frac{-\frac{9}{5}}{1+\frac{3}{2}}$$

1 ni \frac{2}{2} kasrga o‘giring.

$$\frac{-\frac{9}{5}}{\frac{2}{2}+\frac{3}{2}}$$

\frac{2}{2} va \frac{3}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-\frac{9}{5}}{\frac{2+3}{2}}$$

5 olish uchun 2 va 3'ni qo'shing.

$$\frac{-\frac{9}{5}}{\frac{5}{2}}$$

-\frac{9}{5} ni \frac{5}{2} ga bo'lish -\frac{9}{5} ga k'paytirish \frac{5}{2} ga qaytarish.

$$-\frac{9}{5}\times \frac{2}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{9}{5} ni \frac{2}{5} ga ko‘paytiring.

$$\frac{-9\times 2}{5\times 5}$$

\frac{-9\times 2}{5\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-18}{25}$$

\frac{-18}{25} kasri manfiy belgini olib tashlash bilan -\frac{18}{25} sifatida qayta yozilishi mumkin.

$$-\frac{18}{25}$$

Omil

$$-\frac{18}{25} = -0,72$$