1.2+4*21/2*3.5+1/1frac{2{3}*31/2} eching

$$\frac { 1.2 + 4 \cdot 2 \frac { 1 } { 2 } \cdot 3.5 + 1 } { 1 \frac { 2 } { 3 } \cdot 3 \frac { 1 } { 2 } }$$

Baholash

$$\frac{1116}{175}\approx 6,377142857$$

Yechim qadamlari

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

$$\frac{1,2+4\times \frac{4+1}{2}\times 3,5+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

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

$$\frac{1,2+4\times \frac{5}{2}\times 3,5+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

4\times \frac{5}{2} ni yagona kasrga aylantiring.

$$\frac{1,2+\frac{4\times 5}{2}\times 3,5+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

20 hosil qilish uchun 4 va 5 ni ko'paytirish.

$$\frac{1,2+\frac{20}{2}\times 3,5+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

10 ni olish uchun 20 ni 2 ga bo‘ling.

$$\frac{1,2+10\times 3,5+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

35 hosil qilish uchun 10 va 3,5 ni ko'paytirish.

$$\frac{1,2+35+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

36,2 olish uchun 1,2 va 35'ni qo'shing.

$$\frac{36,2+1}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

37,2 olish uchun 36,2 va 1'ni qo'shing.

$$\frac{37,2}{\frac{1\times 3+2}{3}\times \frac{3\times 2+1}{2}}$$

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$\frac{37,2}{\frac{3+2}{3}\times \frac{3\times 2+1}{2}}$$

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

$$\frac{37,2}{\frac{5}{3}\times \frac{3\times 2+1}{2}}$$

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

$$\frac{37,2}{\frac{5}{3}\times \frac{6+1}{2}}$$

7 olish uchun 6 va 1'ni qo'shing.

$$\frac{37,2}{\frac{5}{3}\times \frac{7}{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{3} ni \frac{7}{2} ga ko‘paytiring.

$$\frac{37,2}{\frac{5\times 7}{3\times 2}}$$

\frac{5\times 7}{3\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{37,2}{\frac{35}{6}}$$

37,2 ni \frac{35}{6} ga bo'lish 37,2 ga k'paytirish \frac{35}{6} ga qaytarish.

$$37,2\times \frac{6}{35}$$

37,2 o‘nlik raqamni uning \frac{372}{10} kasrga o‘giring. \frac{372}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{186}{5}\times \frac{6}{35}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{186}{5} ni \frac{6}{35} ga ko‘paytiring.

$$\frac{186\times 6}{5\times 35}$$

\frac{186\times 6}{5\times 35} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1116}{175}$$

Omil

$$\frac{31 \cdot 2 ^ {2} \cdot 3 ^ {2}}{7 \cdot 5 ^ {2}} = 6\frac{66}{175} = 6,377142857142857$$