21/5+14/7-41/2-3/5+2frac{2}{35} eching

$$2 \frac { 1 } { 5 } + 1 \frac { 4 } { 7 } - 4 \frac { 1 } { 2 } - \frac { 3 } { 5 } + 2 \frac { 2 } { 35 }$$

Baholash

$$\frac{51}{70}\approx 0,728571429$$

Yechim qadamlari

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{10+1}{5}+\frac{1\times 7+4}{7}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

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

$$\frac{11}{5}+\frac{1\times 7+4}{7}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

7 hosil qilish uchun 1 va 7 ni ko'paytirish.

$$\frac{11}{5}+\frac{7+4}{7}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

11 olish uchun 7 va 4'ni qo'shing.

$$\frac{11}{5}+\frac{11}{7}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

5 va 7 ning eng kichik umumiy karralisi 35 ga teng. \frac{11}{5} va \frac{11}{7} ni 35 maxraj bilan kasrlarga aylantirib oling.

$$\frac{77}{35}+\frac{55}{35}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

\frac{77}{35} va \frac{55}{35} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{77+55}{35}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

132 olish uchun 77 va 55'ni qo'shing.

$$\frac{132}{35}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\frac{132}{35}-\frac{8+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{132}{35}-\frac{9}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

35 va 2 ning eng kichik umumiy karralisi 70 ga teng. \frac{132}{35} va \frac{9}{2} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$\frac{264}{70}-\frac{315}{70}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

\frac{264}{70} va \frac{315}{70} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{264-315}{70}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

-51 olish uchun 264 dan 315 ni ayirish.

$$-\frac{51}{70}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

70 va 5 ning eng kichik umumiy karralisi 70 ga teng. -\frac{51}{70} va \frac{3}{5} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{51}{70}-\frac{42}{70}+\frac{2\times 35+2}{35}$$

-\frac{51}{70} va \frac{42}{70} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-51-42}{70}+\frac{2\times 35+2}{35}$$

-93 olish uchun -51 dan 42 ni ayirish.

$$-\frac{93}{70}+\frac{2\times 35+2}{35}$$

70 hosil qilish uchun 2 va 35 ni ko'paytirish.

$$-\frac{93}{70}+\frac{70+2}{35}$$

72 olish uchun 70 va 2'ni qo'shing.

$$-\frac{93}{70}+\frac{72}{35}$$

70 va 35 ning eng kichik umumiy karralisi 70 ga teng. -\frac{93}{70} va \frac{72}{35} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{93}{70}+\frac{144}{70}$$

-\frac{93}{70} va \frac{144}{70} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-93+144}{70}$$

51 olish uchun -93 va 144'ni qo'shing.

$$\frac{51}{70}$$

Omil

$$\frac{3 \cdot 17}{2 \cdot 5 \cdot 7} = 0,7285714285714285$$