53/5+(-52/3)+42/5+(-3) eching

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

Baholash

$$\frac{4}{3}\approx 1,333333333$$

Yechim qadamlari

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

$$\frac{25+3}{5}-\frac{5\times 3+2}{3}+\frac{4\times 5+2}{5}-3$$

28 olish uchun 25 va 3'ni qo'shing.

$$\frac{28}{5}-\frac{5\times 3+2}{3}+\frac{4\times 5+2}{5}-3$$

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

$$\frac{28}{5}-\frac{15+2}{3}+\frac{4\times 5+2}{5}-3$$

17 olish uchun 15 va 2'ni qo'shing.

$$\frac{28}{5}-\frac{17}{3}+\frac{4\times 5+2}{5}-3$$

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{28}{5} va \frac{17}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{84}{15}-\frac{85}{15}+\frac{4\times 5+2}{5}-3$$

\frac{84}{15} va \frac{85}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{84-85}{15}+\frac{4\times 5+2}{5}-3$$

-1 olish uchun 84 dan 85 ni ayirish.

$$-\frac{1}{15}+\frac{4\times 5+2}{5}-3$$

20 hosil qilish uchun 4 va 5 ni ko'paytirish.

$$-\frac{1}{15}+\frac{20+2}{5}-3$$

22 olish uchun 20 va 2'ni qo'shing.

$$-\frac{1}{15}+\frac{22}{5}-3$$

15 va 5 ning eng kichik umumiy karralisi 15 ga teng. -\frac{1}{15} va \frac{22}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{1}{15}+\frac{66}{15}-3$$

-\frac{1}{15} va \frac{66}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-1+66}{15}-3$$

65 olish uchun -1 va 66'ni qo'shing.

$$\frac{65}{15}-3$$

\frac{65}{15} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{13}{3}-3$$

3 ni \frac{9}{3} kasrga o‘giring.

$$\frac{13}{3}-\frac{9}{3}$$

\frac{13}{3} va \frac{9}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{13-9}{3}$$

4 olish uchun 13 dan 9 ni ayirish.

$$\frac{4}{3}$$

Omil

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1,3333333333333333$$