51/3-401/3+6251/3+15(27/25)frac{1}{3} eching

$$5 \frac{ 1 }{ 3 } -40 \frac{ 1 }{ 3 } +625 \frac{ 1 }{ 3 } +15( \frac{ 27 }{ 25 } ) \frac{ 1 }{ 3 }$$

Baholash

$$\frac{8936}{15}\approx 595,733333333$$

Yechim qadamlari

15 hosil qilish uchun 5 va 3 ni ko'paytirish.

$$\frac{15+1}{3}-\frac{40\times 3+1}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

16 olish uchun 15 va 1'ni qo'shing.

$$\frac{16}{3}-\frac{40\times 3+1}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

120 hosil qilish uchun 40 va 3 ni ko'paytirish.

$$\frac{16}{3}-\frac{120+1}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

121 olish uchun 120 va 1'ni qo'shing.

$$\frac{16}{3}-\frac{121}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

\frac{16}{3} va \frac{121}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{16-121}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

-105 olish uchun 16 dan 121 ni ayirish.

$$\frac{-105}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

-35 ni olish uchun -105 ni 3 ga bo‘ling.

$$-35+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

1875 hosil qilish uchun 625 va 3 ni ko'paytirish.

$$-35+\frac{1875+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

1876 olish uchun 1875 va 1'ni qo'shing.

$$-35+\frac{1876}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

-35 ni -\frac{105}{3} kasrga o‘giring.

$$-\frac{105}{3}+\frac{1876}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

-\frac{105}{3} va \frac{1876}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-105+1876}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

1771 olish uchun -105 va 1876'ni qo'shing.

$$\frac{1771}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

15\times \frac{27}{25} ni yagona kasrga aylantiring.

$$\frac{1771}{3}+\frac{15\times 27}{25}\times \frac{1}{3}$$

405 hosil qilish uchun 15 va 27 ni ko'paytirish.

$$\frac{1771}{3}+\frac{405}{25}\times \frac{1}{3}$$

\frac{405}{25} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1771}{3}+\frac{81}{5}\times \frac{1}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{81}{5} ni \frac{1}{3} ga ko‘paytiring.

$$\frac{1771}{3}+\frac{81\times 1}{5\times 3}$$

\frac{81\times 1}{5\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1771}{3}+\frac{81}{15}$$

\frac{81}{15} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1771}{3}+\frac{27}{5}$$

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{1771}{3} va \frac{27}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{8855}{15}+\frac{81}{15}$$

\frac{8855}{15} va \frac{81}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{8855+81}{15}$$

8936 olish uchun 8855 va 81'ni qo'shing.

$$\frac{8936}{15}$$

Omil

$$\frac{2 ^ {3} \cdot 1117}{3 \cdot 5} = 595\frac{11}{15} = 595,7333333333333$$