{8/35+[(3/2-33/35)+(3/14-frac{2}{35})-(2-frac{12}{7}+frac{5}{14})]}*3frac{1}{3} eching

$$\{ \frac { 8 } { 35 } + [ ( \frac { 3 } { 2 } - \frac { 33 } { 35 } ) + ( \frac { 3 } { 14 } - \frac { 2 } { 35 } ) - ( 2 - \frac { 12 } { 7 } + \frac { 5 } { 14 } ) ] \} \cdot 3 \frac { 1 } { 3 }$$

Baholash

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Yechim qadamlari

2 va 35 ning eng kichik umumiy karralisi 70 ga teng. \frac{3}{2} va \frac{33}{35} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{8}{35}+\frac{105}{70}-\frac{66}{70}+\frac{3}{14}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

\frac{105}{70} va \frac{66}{70} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(\frac{8}{35}+\frac{105-66}{70}+\frac{3}{14}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

39 olish uchun 105 dan 66 ni ayirish.

$$\left(\frac{8}{35}+\frac{39}{70}+\frac{3}{14}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

70 va 14 ning eng kichik umumiy karralisi 70 ga teng. \frac{39}{70} va \frac{3}{14} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{8}{35}+\frac{39}{70}+\frac{15}{70}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

\frac{39}{70} va \frac{15}{70} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\left(\frac{8}{35}+\frac{39+15}{70}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

54 olish uchun 39 va 15'ni qo'shing.

$$\left(\frac{8}{35}+\frac{54}{70}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

\frac{54}{70} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(\frac{8}{35}+\frac{27}{35}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

\frac{27}{35} va \frac{2}{35} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(\frac{8}{35}+\frac{27-2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

25 olish uchun 27 dan 2 ni ayirish.

$$\left(\frac{8}{35}+\frac{25}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

\frac{25}{35} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(\frac{8}{35}+\frac{5}{7}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

2 ni \frac{14}{7} kasrga o‘giring.

$$\left(\frac{8}{35}+\frac{5}{7}-\left(\frac{14}{7}-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

\frac{14}{7} va \frac{12}{7} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(\frac{8}{35}+\frac{5}{7}-\left(\frac{14-12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

2 olish uchun 14 dan 12 ni ayirish.

$$\left(\frac{8}{35}+\frac{5}{7}-\left(\frac{2}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

7 va 14 ning eng kichik umumiy karralisi 14 ga teng. \frac{2}{7} va \frac{5}{14} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{8}{35}+\frac{5}{7}-\left(\frac{4}{14}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

\frac{4}{14} va \frac{5}{14} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\left(\frac{8}{35}+\frac{5}{7}-\frac{4+5}{14}\right)\times \frac{3\times 3+1}{3}$$

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

$$\left(\frac{8}{35}+\frac{5}{7}-\frac{9}{14}\right)\times \frac{3\times 3+1}{3}$$

7 va 14 ning eng kichik umumiy karralisi 14 ga teng. \frac{5}{7} va \frac{9}{14} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{8}{35}+\frac{10}{14}-\frac{9}{14}\right)\times \frac{3\times 3+1}{3}$$

\frac{10}{14} va \frac{9}{14} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(\frac{8}{35}+\frac{10-9}{14}\right)\times \frac{3\times 3+1}{3}$$

1 olish uchun 10 dan 9 ni ayirish.

$$\left(\frac{8}{35}+\frac{1}{14}\right)\times \frac{3\times 3+1}{3}$$

35 va 14 ning eng kichik umumiy karralisi 70 ga teng. \frac{8}{35} va \frac{1}{14} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{16}{70}+\frac{5}{70}\right)\times \frac{3\times 3+1}{3}$$

\frac{16}{70} va \frac{5}{70} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{16+5}{70}\times \frac{3\times 3+1}{3}$$

21 olish uchun 16 va 5'ni qo'shing.

$$\frac{21}{70}\times \frac{3\times 3+1}{3}$$

\frac{21}{70} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{10}\times \frac{3\times 3+1}{3}$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$\frac{3}{10}\times \frac{9+1}{3}$$

10 olish uchun 9 va 1'ni qo'shing.

$$\frac{3}{10}\times \frac{10}{3}$$

\frac{3}{10} va uning teskari kasrini \frac{10}{3} ni qisqartiring.

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Omil

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