(2-3/4-5/8)+-3+5/2/2frac{7{3}-frac{5}{6}} eching

$$( 2 - \frac { 3 } { 4 } - \frac { 5 } { 8 } ) + \frac { - 3 + \frac { 5 } { 2 } } { 2 \frac { 7 } { 3 } - \frac { 5 } { 6 } }$$

Baholash

$$\frac{27}{56}\approx 0,482142857$$

Yechim qadamlari

2 ni \frac{8}{4} kasrga o‘giring.

$$\frac{8}{4}-\frac{3}{4}-\frac{5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

\frac{8}{4} va \frac{3}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{8-3}{4}-\frac{5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

5 olish uchun 8 dan 3 ni ayirish.

$$\frac{5}{4}-\frac{5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

4 va 8 ning eng kichik umumiy karralisi 8 ga teng. \frac{5}{4} va \frac{5}{8} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{10}{8}-\frac{5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

\frac{10}{8} va \frac{5}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{10-5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

5 olish uchun 10 dan 5 ni ayirish.

$$\frac{5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

-3 ni -\frac{6}{2} kasrga o‘giring.

$$\frac{5}{8}+\frac{-\frac{6}{2}+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

-\frac{6}{2} va \frac{5}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{8}+\frac{\frac{-6+5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

-1 olish uchun -6 va 5'ni qo'shing.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{6+7}{3}-\frac{5}{6}}$$

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

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{13}{3}-\frac{5}{6}}$$

3 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{13}{3} va \frac{5}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{26}{6}-\frac{5}{6}}$$

\frac{26}{6} va \frac{5}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{26-5}{6}}$$

21 olish uchun 26 dan 5 ni ayirish.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{21}{6}}$$

\frac{21}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{7}{2}}$$

-\frac{1}{2} ni \frac{7}{2} ga bo'lish -\frac{1}{2} ga k'paytirish \frac{7}{2} ga qaytarish.

$$\frac{5}{8}-\frac{1}{2}\times \frac{2}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{2} ni \frac{2}{7} ga ko‘paytiring.

$$\frac{5}{8}+\frac{-2}{2\times 7}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{5}{8}+\frac{-1}{7}$$

\frac{-1}{7} kasri manfiy belgini olib tashlash bilan -\frac{1}{7} sifatida qayta yozilishi mumkin.

$$\frac{5}{8}-\frac{1}{7}$$

8 va 7 ning eng kichik umumiy karralisi 56 ga teng. \frac{5}{8} va \frac{1}{7} ni 56 maxraj bilan kasrlarga aylantirib oling.

$$\frac{35}{56}-\frac{8}{56}$$

\frac{35}{56} va \frac{8}{56} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{35-8}{56}$$

27 olish uchun 35 dan 8 ni ayirish.

$$\frac{27}{56}$$

Omil

$$\frac{3 ^ {3}}{2 ^ {3} \cdot 7} = 0,48214285714285715$$