23/4+13/8+23/10-35/24+1frac{8}{15} eching

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

Baholash

$$5$$

Yechim qadamlari

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

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

11 olish uchun 8 va 3'ni qo'shing.

$$\frac{11}{4}+\frac{13}{8}+\frac{23}{10}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

4 va 8 ning eng kichik umumiy karralisi 8 ga teng. \frac{11}{4} va \frac{13}{8} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{22}{8}+\frac{13}{8}+\frac{23}{10}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

\frac{22}{8} va \frac{13}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{22+13}{8}+\frac{23}{10}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

35 olish uchun 22 va 13'ni qo'shing.

$$\frac{35}{8}+\frac{23}{10}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

8 va 10 ning eng kichik umumiy karralisi 40 ga teng. \frac{35}{8} va \frac{23}{10} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{175}{40}+\frac{92}{40}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

\frac{175}{40} va \frac{92}{40} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{175+92}{40}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

267 olish uchun 175 va 92'ni qo'shing.

$$\frac{267}{40}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

72 hosil qilish uchun 3 va 24 ni ko'paytirish.

$$\frac{267}{40}-\frac{72+5}{24}+\frac{1\times 15+8}{15}$$

77 olish uchun 72 va 5'ni qo'shing.

$$\frac{267}{40}-\frac{77}{24}+\frac{1\times 15+8}{15}$$

40 va 24 ning eng kichik umumiy karralisi 120 ga teng. \frac{267}{40} va \frac{77}{24} ni 120 maxraj bilan kasrlarga aylantirib oling.

$$\frac{801}{120}-\frac{385}{120}+\frac{1\times 15+8}{15}$$

\frac{801}{120} va \frac{385}{120} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{801-385}{120}+\frac{1\times 15+8}{15}$$

416 olish uchun 801 dan 385 ni ayirish.

$$\frac{416}{120}+\frac{1\times 15+8}{15}$$

\frac{416}{120} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{52}{15}+\frac{1\times 15+8}{15}$$

15 hosil qilish uchun 1 va 15 ni ko'paytirish.

$$\frac{52}{15}+\frac{15+8}{15}$$

23 olish uchun 15 va 8'ni qo'shing.

$$\frac{52}{15}+\frac{23}{15}$$

\frac{52}{15} va \frac{23}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{52+23}{15}$$

75 olish uchun 52 va 23'ni qo'shing.

$$\frac{75}{15}$$

5 ni olish uchun 75 ni 15 ga bo‘ling.

$$5$$

Omil

$$5$$