(5/8+2/5)div35/12*11/2*2 eching

$$( \frac { 5 } { 8 } + \frac { 2 } { 5 } ) \div 3 \frac { 5 } { 12 } \times 1 \frac { 1 } { 2 } \times 2$$

Baholash

$$\frac{9}{10}=0,9$$

Yechim qadamlari

8 va 5 ning eng kichik umumiy karralisi 40 ga teng. \frac{5}{8} va \frac{2}{5} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{25}{40}+\frac{16}{40}}{\frac{3\times 12+5}{12}}\times \frac{1\times 2+1}{2}\times 2$$

\frac{25}{40} va \frac{16}{40} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{25+16}{40}}{\frac{3\times 12+5}{12}}\times \frac{1\times 2+1}{2}\times 2$$

41 olish uchun 25 va 16'ni qo'shing.

$$\frac{\frac{41}{40}}{\frac{3\times 12+5}{12}}\times \frac{1\times 2+1}{2}\times 2$$

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

$$\frac{\frac{41}{40}}{\frac{36+5}{12}}\times \frac{1\times 2+1}{2}\times 2$$

41 olish uchun 36 va 5'ni qo'shing.

$$\frac{\frac{41}{40}}{\frac{41}{12}}\times \frac{1\times 2+1}{2}\times 2$$

\frac{41}{40} ni \frac{41}{12} ga bo'lish \frac{41}{40} ga k'paytirish \frac{41}{12} ga qaytarish.

$$\frac{41}{40}\times \frac{12}{41}\times \frac{1\times 2+1}{2}\times 2$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{41}{40} ni \frac{12}{41} ga ko‘paytiring.

$$\frac{41\times 12}{40\times 41}\times \frac{1\times 2+1}{2}\times 2$$

Surat va maxrajdagi ikkala 41 ni qisqartiring.

$$\frac{12}{40}\times \frac{1\times 2+1}{2}\times 2$$

\frac{12}{40} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

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

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

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

$$\frac{3}{10}\times \frac{3}{2}\times 2$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{10} ni \frac{3}{2} ga ko‘paytiring.

$$\frac{3\times 3}{10\times 2}\times 2$$

\frac{3\times 3}{10\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{9}{20}\times 2$$

\frac{9}{20}\times 2 ni yagona kasrga aylantiring.

$$\frac{9\times 2}{20}$$

18 hosil qilish uchun 9 va 2 ni ko'paytirish.

$$\frac{18}{20}$$

\frac{18}{20} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{9}{10}$$

Omil

$$\frac{3 ^ {2}}{2 \cdot 5} = 0,9$$