4/12+9/8*15/3-26/10 eching

$$\frac{ 4 }{ 12 } + \frac{ 9 }{ 8 } \times \frac{15}{3} - \frac{26}{10}$$

Baholash

$$\frac{403}{120}\approx 3,358333333$$

Yechim qadamlari

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

$$\frac{1}{3}+\frac{9}{8}\times \frac{15}{3}-\frac{26}{10}$$

5 ni olish uchun 15 ni 3 ga bo‘ling.

$$\frac{1}{3}+\frac{9}{8}\times 5-\frac{26}{10}$$

\frac{9}{8}\times 5 ni yagona kasrga aylantiring.

$$\frac{1}{3}+\frac{9\times 5}{8}-\frac{26}{10}$$

45 hosil qilish uchun 9 va 5 ni ko'paytirish.

$$\frac{1}{3}+\frac{45}{8}-\frac{26}{10}$$

3 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{1}{3} va \frac{45}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{8}{24}+\frac{135}{24}-\frac{26}{10}$$

\frac{8}{24} va \frac{135}{24} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{8+135}{24}-\frac{26}{10}$$

143 olish uchun 8 va 135'ni qo'shing.

$$\frac{143}{24}-\frac{26}{10}$$

\frac{26}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{143}{24}-\frac{13}{5}$$

24 va 5 ning eng kichik umumiy karralisi 120 ga teng. \frac{143}{24} va \frac{13}{5} ni 120 maxraj bilan kasrlarga aylantirib oling.

$$\frac{715}{120}-\frac{312}{120}$$

\frac{715}{120} va \frac{312}{120} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{715-312}{120}$$

403 olish uchun 715 dan 312 ni ayirish.

$$\frac{403}{120}$$

Omil

$$\frac{13 \cdot 31}{2 ^ {3} \cdot 3 \cdot 5} = 3\frac{43}{120} = 3,3583333333333334$$