11/4+(22/3*13/4-31/6div7frac{3}{5}) eching

$$1 \frac { 1 } { 4 } + ( 2 \frac { 2 } { 3 } \times 1 \frac { 3 } { 4 } - 3 \frac { 1 } { 6 } \div 7 \frac { 3 } { 5 } )$$

Baholash

$$\frac{11}{2}=5,5$$

Yechim qadamlari

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{4+1}{4}+\frac{2\times 3+2}{3}\times \frac{1\times 4+3}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

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

$$\frac{5}{4}+\frac{2\times 3+2}{3}\times \frac{1\times 4+3}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

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

$$\frac{5}{4}+\frac{6+2}{3}\times \frac{1\times 4+3}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

8 olish uchun 6 va 2'ni qo'shing.

$$\frac{5}{4}+\frac{8}{3}\times \frac{1\times 4+3}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{5}{4}+\frac{8}{3}\times \frac{4+3}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

7 olish uchun 4 va 3'ni qo'shing.

$$\frac{5}{4}+\frac{8}{3}\times \frac{7}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{3} ni \frac{7}{4} ga ko‘paytiring.

$$\frac{5}{4}+\frac{8\times 7}{3\times 4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

\frac{8\times 7}{3\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{5}{4}+\frac{56}{12}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

\frac{56}{12} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{4}+\frac{14}{3}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

4 va 3 ning eng kichik umumiy karralisi 12 ga teng. \frac{5}{4} va \frac{14}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{15}{12}+\frac{56}{12}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

\frac{15}{12} va \frac{56}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{15+56}{12}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

71 olish uchun 15 va 56'ni qo'shing.

$$\frac{71}{12}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

\frac{3\times 6+1}{6} ni \frac{7\times 5+3}{5} ga bo'lish \frac{3\times 6+1}{6} ga k'paytirish \frac{7\times 5+3}{5} ga qaytarish.

$$\frac{71}{12}-\frac{\left(3\times 6+1\right)\times 5}{6\left(7\times 5+3\right)}$$

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

$$\frac{71}{12}-\frac{\left(18+1\right)\times 5}{6\left(7\times 5+3\right)}$$

19 olish uchun 18 va 1'ni qo'shing.

$$\frac{71}{12}-\frac{19\times 5}{6\left(7\times 5+3\right)}$$

95 hosil qilish uchun 19 va 5 ni ko'paytirish.

$$\frac{71}{12}-\frac{95}{6\left(7\times 5+3\right)}$$

35 hosil qilish uchun 7 va 5 ni ko'paytirish.

$$\frac{71}{12}-\frac{95}{6\left(35+3\right)}$$

38 olish uchun 35 va 3'ni qo'shing.

$$\frac{71}{12}-\frac{95}{6\times 38}$$

228 hosil qilish uchun 6 va 38 ni ko'paytirish.

$$\frac{71}{12}-\frac{95}{228}$$

\frac{95}{228} ulushini 19 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{71}{12}-\frac{5}{12}$$

\frac{71}{12} va \frac{5}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{71-5}{12}$$

66 olish uchun 71 dan 5 ni ayirish.

$$\frac{66}{12}$$

\frac{66}{12} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{11}{2}$$

Omil

$$\frac{11}{2} = 5\frac{1}{2} = 5,5$$