((11/7-23/49):22/147-(0.6:33/4)2frac{1}{2}+3.75:1frac{1}{2}):2.2 eching

$$( ( 1 \frac { 1 } { 7 } - \frac { 23 } { 49 } ) : \frac { 22 } { 147 } - ( 0.6 : 3 \frac { 3 } { 4 } ) 2 \frac { 1 } { 2 } + 3.75 : 1 \frac { 1 } { 2 } ) : 2.2$$

Baholash

$$3$$

Yechim qadamlari

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

$$\frac{\frac{\frac{7+1}{7}-\frac{23}{49}}{\frac{22}{147}}-\frac{0,6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

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

$$\frac{\frac{\frac{8}{7}-\frac{23}{49}}{\frac{22}{147}}-\frac{0,6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

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.

$$\frac{\frac{\frac{56}{49}-\frac{23}{49}}{\frac{22}{147}}-\frac{0,6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

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

$$\frac{\frac{\frac{56-23}{49}}{\frac{22}{147}}-\frac{0,6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

33 olish uchun 56 dan 23 ni ayirish.

$$\frac{\frac{\frac{33}{49}}{\frac{22}{147}}-\frac{0,6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

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

$$\frac{\frac{33}{49}\times \frac{147}{22}-\frac{0,6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

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

$$\frac{\frac{33\times 147}{49\times 22}-\frac{0,6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

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

$$\frac{\frac{4851}{1078}-\frac{0,6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

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

$$\frac{\frac{9}{2}-\frac{0,6}{\frac{3\times 4+3}{4}}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

0,6 ni \frac{3\times 4+3}{4} ga bo'lish 0,6 ga k'paytirish \frac{3\times 4+3}{4} ga qaytarish.

$$\frac{\frac{9}{2}-\frac{0,6\times 4}{3\times 4+3}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

2,4 hosil qilish uchun 0,6 va 4 ni ko'paytirish.

$$\frac{\frac{9}{2}-\frac{2,4}{3\times 4+3}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

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

$$\frac{\frac{9}{2}-\frac{2,4}{12+3}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

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

$$\frac{\frac{9}{2}-\frac{2,4}{15}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

\frac{2,4}{15} kasrini uning surat va maxrajini 10 ga ko‘paytirish bilan kengaytiring.

$$\frac{\frac{9}{2}-\frac{24}{150}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

\frac{24}{150} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{9}{2}-\frac{4}{25}\times \frac{2\times 2+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

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

$$\frac{\frac{9}{2}-\frac{4}{25}\times \frac{4+1}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

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

$$\frac{\frac{9}{2}-\frac{4}{25}\times \frac{5}{2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{25} ni \frac{5}{2} ga ko‘paytiring.

$$\frac{\frac{9}{2}-\frac{4\times 5}{25\times 2}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

\frac{4\times 5}{25\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{9}{2}-\frac{20}{50}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

\frac{20}{50} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{9}{2}-\frac{2}{5}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

2 va 5 ning eng kichik umumiy karralisi 10 ga teng. \frac{9}{2} va \frac{2}{5} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{45}{10}-\frac{4}{10}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

\frac{45}{10} va \frac{4}{10} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{45-4}{10}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

41 olish uchun 45 dan 4 ni ayirish.

$$\frac{\frac{41}{10}+\frac{3,75}{\frac{1\times 2+1}{2}}}{2,2}$$

3,75 ni \frac{1\times 2+1}{2} ga bo'lish 3,75 ga k'paytirish \frac{1\times 2+1}{2} ga qaytarish.

$$\frac{\frac{41}{10}+\frac{3,75\times 2}{1\times 2+1}}{2,2}$$

7,5 hosil qilish uchun 3,75 va 2 ni ko'paytirish.

$$\frac{\frac{41}{10}+\frac{7,5}{1\times 2+1}}{2,2}$$

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

$$\frac{\frac{41}{10}+\frac{7,5}{2+1}}{2,2}$$

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

$$\frac{\frac{41}{10}+\frac{7,5}{3}}{2,2}$$

\frac{7,5}{3} kasrini uning surat va maxrajini 10 ga ko‘paytirish bilan kengaytiring.

$$\frac{\frac{41}{10}+\frac{75}{30}}{2,2}$$

\frac{75}{30} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{41}{10}+\frac{5}{2}}{2,2}$$

10 va 2 ning eng kichik umumiy karralisi 10 ga teng. \frac{41}{10} va \frac{5}{2} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{41}{10}+\frac{25}{10}}{2,2}$$

\frac{41}{10} va \frac{25}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{41+25}{10}}{2,2}$$

66 olish uchun 41 va 25'ni qo'shing.

$$\frac{\frac{66}{10}}{2,2}$$

\frac{66}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{33}{5}}{2,2}$$

\frac{\frac{33}{5}}{2,2} ni yagona kasrga aylantiring.

$$\frac{33}{5\times 2,2}$$

11 hosil qilish uchun 5 va 2,2 ni ko'paytirish.

$$\frac{33}{11}$$

3 ni olish uchun 33 ni 11 ga bo‘ling.

$$3$$

Omil

$$3$$