2(3/4)+13/8+23/10-3(5/24)+1(frac{8}{15}) eching

$$2( \frac{ 3 }{ 4 } )+ \frac{ 13 }{ 8 } + \frac{ 23 }{ 10 } -3( \frac{ 5 }{ 24 } )+1( \frac{ 8 }{ 15 } )$$

Baholash

$$\frac{16}{3}\approx 5,333333333$$

Yechim qadamlari

2\times \frac{3}{4} ni yagona kasrga aylantiring.

$$\frac{2\times 3}{4}+\frac{13}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

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

$$\frac{6}{4}+\frac{13}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

\frac{6}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{2}+\frac{13}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

2 va 8 ning eng kichik umumiy karralisi 8 ga teng. \frac{3}{2} va \frac{13}{8} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{12}{8}+\frac{13}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

\frac{12}{8} va \frac{13}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{12+13}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

25 olish uchun 12 va 13'ni qo'shing.

$$\frac{25}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

8 va 10 ning eng kichik umumiy karralisi 40 ga teng. \frac{25}{8} va \frac{23}{10} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{125}{40}+\frac{92}{40}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

\frac{125}{40} va \frac{92}{40} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{125+92}{40}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

217 olish uchun 125 va 92'ni qo'shing.

$$\frac{217}{40}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

3\times \frac{5}{24} ni yagona kasrga aylantiring.

$$\frac{217}{40}-\frac{3\times 5}{24}+1\times \frac{8}{15}$$

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

$$\frac{217}{40}-\frac{15}{24}+1\times \frac{8}{15}$$

\frac{15}{24} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{217}{40}-\frac{5}{8}+1\times \frac{8}{15}$$

40 va 8 ning eng kichik umumiy karralisi 40 ga teng. \frac{217}{40} va \frac{5}{8} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{217}{40}-\frac{25}{40}+1\times \frac{8}{15}$$

\frac{217}{40} va \frac{25}{40} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{217-25}{40}+1\times \frac{8}{15}$$

192 olish uchun 217 dan 25 ni ayirish.

$$\frac{192}{40}+1\times \frac{8}{15}$$

\frac{192}{40} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{24}{5}+1\times \frac{8}{15}$$

\frac{8}{15} hosil qilish uchun 1 va \frac{8}{15} ni ko'paytirish.

$$\frac{24}{5}+\frac{8}{15}$$

5 va 15 ning eng kichik umumiy karralisi 15 ga teng. \frac{24}{5} va \frac{8}{15} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{72}{15}+\frac{8}{15}$$

\frac{72}{15} va \frac{8}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{72+8}{15}$$

80 olish uchun 72 va 8'ni qo'shing.

$$\frac{80}{15}$$

\frac{80}{15} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{16}{3}$$

Omil

$$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5,333333333333333$$