(3/8div1/4+71/5div7)*8 eching

$$( \frac { 3 } { 8 } \div \frac { 1 } { 4 } + \frac { 71 } { 5 } \div 7 ) \times 8$$

Baholash

$$\frac{988}{35}\approx 28,228571429$$

Yechim qadamlari

\frac{3}{8} ni \frac{1}{4} ga bo'lish \frac{3}{8} ga k'paytirish \frac{1}{4} ga qaytarish.

$$\left(\frac{3}{8}\times 4+\frac{\frac{71}{5}}{7}\right)\times 8$$

\frac{3}{8}\times 4 ni yagona kasrga aylantiring.

$$\left(\frac{3\times 4}{8}+\frac{\frac{71}{5}}{7}\right)\times 8$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\left(\frac{12}{8}+\frac{\frac{71}{5}}{7}\right)\times 8$$

\frac{12}{8} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(\frac{3}{2}+\frac{\frac{71}{5}}{7}\right)\times 8$$

\frac{\frac{71}{5}}{7} ni yagona kasrga aylantiring.

$$\left(\frac{3}{2}+\frac{71}{5\times 7}\right)\times 8$$

35 hosil qilish uchun 5 va 7 ni ko'paytirish.

$$\left(\frac{3}{2}+\frac{71}{35}\right)\times 8$$

2 va 35 ning eng kichik umumiy karralisi 70 ga teng. \frac{3}{2} va \frac{71}{35} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{105}{70}+\frac{142}{70}\right)\times 8$$

\frac{105}{70} va \frac{142}{70} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{105+142}{70}\times 8$$

247 olish uchun 105 va 142'ni qo'shing.

$$\frac{247}{70}\times 8$$

\frac{247}{70}\times 8 ni yagona kasrga aylantiring.

$$\frac{247\times 8}{70}$$

1976 hosil qilish uchun 247 va 8 ni ko'paytirish.

$$\frac{1976}{70}$$

\frac{1976}{70} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{988}{35}$$

Omil

$$\frac{2 ^ {2} \cdot 13 \cdot 19}{5 \cdot 7} = 28\frac{8}{35} = 28,228571428571428$$