((11/7-23/49):22/147-(06:33/4)2frac{1}{2}+375:1frac{1}{2}):22 eching

$$( ( 1 \frac { 1 } { 7 } - \frac { 23 } { 49 } ) : \frac { 22 } { 147 } - ( 06 : 3 \frac { 3 } { 4 } ) 2 \frac { 1 } { 2 } + 375 : 1 \frac { 1 } { 2 } ) : 22$$

Baholash

$$\frac{509}{44}\approx 11,568181818$$

Yechim qadamlari

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

$$\frac{\frac{\frac{7+1}{7}-\frac{23}{49}}{\frac{22}{147}}-\frac{0\times 6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

8 olish uchun 7 va 1'ni qo'shing.

$$\frac{\frac{\frac{8}{7}-\frac{23}{49}}{\frac{22}{147}}-\frac{0\times 6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

7 va 49 ning eng kichik umumiy karralisi 49 ga teng. \frac{8}{7} va \frac{23}{49} ni 49 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{\frac{56}{49}-\frac{23}{49}}{\frac{22}{147}}-\frac{0\times 6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

\frac{56}{49} va \frac{23}{49} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{\frac{56-23}{49}}{\frac{22}{147}}-\frac{0\times 6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

33 olish uchun 56 dan 23 ni ayirish.

$$\frac{\frac{\frac{33}{49}}{\frac{22}{147}}-\frac{0\times 6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

\frac{33}{49} ni \frac{22}{147} ga bo'lish \frac{33}{49} ga k'paytirish \frac{22}{147} ga qaytarish.

$$\frac{\frac{33}{49}\times \frac{147}{22}-\frac{0\times 6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{33}{49} ni \frac{147}{22} ga ko‘paytiring.

$$\frac{\frac{33\times 147}{49\times 22}-\frac{0\times 6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

\frac{33\times 147}{49\times 22} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{4851}{1078}-\frac{0\times 6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

\frac{4851}{1078} ulushini 539 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{9}{2}-\frac{0\times 6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$\frac{\frac{9}{2}-\frac{0}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{\frac{9}{2}-\frac{0}{\frac{12+3}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

15 olish uchun 12 va 3'ni qo'shing.

$$\frac{\frac{9}{2}-\frac{0}{\frac{15}{4}}\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

Nol bo‘lmagan har qanday sonni nolga ko‘paytirsangiz, nol bo‘ladi.

$$\frac{\frac{9}{2}-0\times \frac{2\times 2+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

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

$$\frac{\frac{9}{2}-0\times \frac{4+1}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

5 olish uchun 4 va 1'ni qo'shing.

$$\frac{\frac{9}{2}-0\times \frac{5}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

0 hosil qilish uchun 0 va \frac{5}{2} ni ko'paytirish.

$$\frac{\frac{9}{2}-0+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

\frac{9}{2} olish uchun \frac{9}{2} dan 0 ni ayirish.

$$\frac{\frac{9}{2}+\frac{375}{\frac{1\times 2+1}{2}}}{22}$$

375 ni \frac{1\times 2+1}{2} ga bo'lish 375 ga k'paytirish \frac{1\times 2+1}{2} ga qaytarish.

$$\frac{\frac{9}{2}+\frac{375\times 2}{1\times 2+1}}{22}$$

750 hosil qilish uchun 375 va 2 ni ko'paytirish.

$$\frac{\frac{9}{2}+\frac{750}{1\times 2+1}}{22}$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\frac{\frac{9}{2}+\frac{750}{2+1}}{22}$$

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

$$\frac{\frac{9}{2}+\frac{750}{3}}{22}$$

250 ni olish uchun 750 ni 3 ga bo‘ling.

$$\frac{\frac{9}{2}+250}{22}$$

250 ni \frac{500}{2} kasrga o‘giring.

$$\frac{\frac{9}{2}+\frac{500}{2}}{22}$$

\frac{9}{2} va \frac{500}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{9+500}{2}}{22}$$

509 olish uchun 9 va 500'ni qo'shing.

$$\frac{\frac{509}{2}}{22}$$

\frac{\frac{509}{2}}{22} ni yagona kasrga aylantiring.

$$\frac{509}{2\times 22}$$

44 hosil qilish uchun 2 va 22 ni ko'paytirish.

$$\frac{509}{44}$$

Omil

$$\frac{509}{2 ^ {2} \cdot 11} = 11\frac{25}{44} = 11,568181818181818$$