3/5+(-3)[-1/3+1-(1/4-1/8)-frac{3}{4}] eching

$$\frac { 3 } { 5 } + ( - 3 ) [ - \frac { 1 } { 3 } + 1 - ( \frac { 1 } { 4 } - \frac { 1 } { 8 } ) - \frac { 3 } { 4 } ]$$

Baholash

$$\frac{49}{40}=1,225$$

Yechim qadamlari

1 ni \frac{3}{3} kasrga o‘giring.

$$\frac{3}{5}-3\left(-\frac{1}{3}+\frac{3}{3}-\left(\frac{1}{4}-\frac{1}{8}\right)-\frac{3}{4}\right)$$

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

$$\frac{3}{5}-3\left(\frac{-1+3}{3}-\left(\frac{1}{4}-\frac{1}{8}\right)-\frac{3}{4}\right)$$

2 olish uchun -1 va 3'ni qo'shing.

$$\frac{3}{5}-3\left(\frac{2}{3}-\left(\frac{1}{4}-\frac{1}{8}\right)-\frac{3}{4}\right)$$

4 va 8 ning eng kichik umumiy karralisi 8 ga teng. \frac{1}{4} va \frac{1}{8} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{5}-3\left(\frac{2}{3}-\left(\frac{2}{8}-\frac{1}{8}\right)-\frac{3}{4}\right)$$

\frac{2}{8} va \frac{1}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3}{5}-3\left(\frac{2}{3}-\frac{2-1}{8}-\frac{3}{4}\right)$$

1 olish uchun 2 dan 1 ni ayirish.

$$\frac{3}{5}-3\left(\frac{2}{3}-\frac{1}{8}-\frac{3}{4}\right)$$

3 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{2}{3} va \frac{1}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{5}-3\left(\frac{16}{24}-\frac{3}{24}-\frac{3}{4}\right)$$

\frac{16}{24} va \frac{3}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3}{5}-3\left(\frac{16-3}{24}-\frac{3}{4}\right)$$

13 olish uchun 16 dan 3 ni ayirish.

$$\frac{3}{5}-3\left(\frac{13}{24}-\frac{3}{4}\right)$$

24 va 4 ning eng kichik umumiy karralisi 24 ga teng. \frac{13}{24} va \frac{3}{4} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{5}-3\left(\frac{13}{24}-\frac{18}{24}\right)$$

\frac{13}{24} va \frac{18}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3}{5}-3\times \frac{13-18}{24}$$

-5 olish uchun 13 dan 18 ni ayirish.

$$\frac{3}{5}-3\left(-\frac{5}{24}\right)$$

-3\left(-\frac{5}{24}\right) ni yagona kasrga aylantiring.

$$\frac{3}{5}+\frac{-3\left(-5\right)}{24}$$

15 hosil qilish uchun -3 va -5 ni ko'paytirish.

$$\frac{3}{5}+\frac{15}{24}$$

\frac{15}{24} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{5}+\frac{5}{8}$$

5 va 8 ning eng kichik umumiy karralisi 40 ga teng. \frac{3}{5} va \frac{5}{8} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{24}{40}+\frac{25}{40}$$

\frac{24}{40} va \frac{25}{40} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{24+25}{40}$$

49 olish uchun 24 va 25'ni qo'shing.

$$\frac{49}{40}$$

Omil

$$\frac{7 ^ {2}}{2 ^ {3} \cdot 5} = 1\frac{9}{40} = 1,225$$