6div(1+10div(15*5)-40div(15*5*25)) eching

$$6 \div (1+10 \div (15 \times 5)-40 \div (15 \times 5 \times 25))$$

Baholash

$$\frac{750}{139}\approx 5,395683453$$

Yechim qadamlari

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

$$\frac{6}{1+\frac{10}{75}-\frac{40}{15\times 5\times 25}}$$

\frac{10}{75} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{6}{1+\frac{2}{15}-\frac{40}{15\times 5\times 25}}$$

1 ni \frac{15}{15} kasrga o‘giring.

$$\frac{6}{\frac{15}{15}+\frac{2}{15}-\frac{40}{15\times 5\times 25}}$$

\frac{15}{15} va \frac{2}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{6}{\frac{15+2}{15}-\frac{40}{15\times 5\times 25}}$$

17 olish uchun 15 va 2'ni qo'shing.

$$\frac{6}{\frac{17}{15}-\frac{40}{15\times 5\times 25}}$$

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

$$\frac{6}{\frac{17}{15}-\frac{40}{75\times 25}}$$

1875 hosil qilish uchun 75 va 25 ni ko'paytirish.

$$\frac{6}{\frac{17}{15}-\frac{40}{1875}}$$

\frac{40}{1875} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{6}{\frac{17}{15}-\frac{8}{375}}$$

15 va 375 ning eng kichik umumiy karralisi 375 ga teng. \frac{17}{15} va \frac{8}{375} ni 375 maxraj bilan kasrlarga aylantirib oling.

$$\frac{6}{\frac{425}{375}-\frac{8}{375}}$$

\frac{425}{375} va \frac{8}{375} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{6}{\frac{425-8}{375}}$$

417 olish uchun 425 dan 8 ni ayirish.

$$\frac{6}{\frac{417}{375}}$$

\frac{417}{375} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{6}{\frac{139}{125}}$$

6 ni \frac{139}{125} ga bo'lish 6 ga k'paytirish \frac{139}{125} ga qaytarish.

$$6\times \frac{125}{139}$$

6\times \frac{125}{139} ni yagona kasrga aylantiring.

$$\frac{6\times 125}{139}$$

750 hosil qilish uchun 6 va 125 ni ko'paytirish.

$$\frac{750}{139}$$

Omil

$$\frac{2 \cdot 3 \cdot 5 ^ {3}}{139} = 5\frac{55}{139} = 5,39568345323741$$