41*5/6+(41-34/15)div12 eching

$$41 \times \frac{ 5 }{ 6 } +(41-3 \frac{ 4 }{ 15 } ) \div 12$$

Baholash

$$\frac{1679}{45}\approx 37,311111111$$

Yechim qadamlari

41\times \frac{5}{6} ni yagona kasrga aylantiring.

$$\frac{41\times 5}{6}+\frac{41-\frac{3\times 15+4}{15}}{12}$$

205 hosil qilish uchun 41 va 5 ni ko'paytirish.

$$\frac{205}{6}+\frac{41-\frac{3\times 15+4}{15}}{12}$$

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

$$\frac{205}{6}+\frac{41-\frac{45+4}{15}}{12}$$

49 olish uchun 45 va 4'ni qo'shing.

$$\frac{205}{6}+\frac{41-\frac{49}{15}}{12}$$

41 ni \frac{615}{15} kasrga o‘giring.

$$\frac{205}{6}+\frac{\frac{615}{15}-\frac{49}{15}}{12}$$

\frac{615}{15} va \frac{49}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{205}{6}+\frac{\frac{615-49}{15}}{12}$$

566 olish uchun 615 dan 49 ni ayirish.

$$\frac{205}{6}+\frac{\frac{566}{15}}{12}$$

\frac{\frac{566}{15}}{12} ni yagona kasrga aylantiring.

$$\frac{205}{6}+\frac{566}{15\times 12}$$

180 hosil qilish uchun 15 va 12 ni ko'paytirish.

$$\frac{205}{6}+\frac{566}{180}$$

\frac{566}{180} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{205}{6}+\frac{283}{90}$$

6 va 90 ning eng kichik umumiy karralisi 90 ga teng. \frac{205}{6} va \frac{283}{90} ni 90 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3075}{90}+\frac{283}{90}$$

\frac{3075}{90} va \frac{283}{90} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3075+283}{90}$$

3358 olish uchun 3075 va 283'ni qo'shing.

$$\frac{3358}{90}$$

\frac{3358}{90} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1679}{45}$$

Omil

$$\frac{23 \cdot 73}{3 ^ {2} \cdot 5} = 37\frac{14}{45} = 37,31111111111111$$