7div2-[21+4div(2+5)*(25div8)div(5div2)^2] eching

$$7 \div 2 - [ 21 + 4 \div ( 2 + 5 ) \times ( 25 \div 8 ) \div ( 5 \div 2 ) ^ { 2 } ]$$

Baholash

$$-\frac{249}{14}\approx -17,785714286$$

Yechim qadamlari

7 olish uchun 2 va 5'ni qo'shing.

$$\frac{7}{2}-\left(21+\frac{\frac{4}{7}\times \frac{25}{8}}{\left(\frac{5}{2}\right)^{2}}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{7} ni \frac{25}{8} ga ko‘paytiring.

$$\frac{7}{2}-\left(21+\frac{\frac{4\times 25}{7\times 8}}{\left(\frac{5}{2}\right)^{2}}\right)$$

\frac{4\times 25}{7\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{7}{2}-\left(21+\frac{\frac{100}{56}}{\left(\frac{5}{2}\right)^{2}}\right)$$

\frac{100}{56} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{2}-\left(21+\frac{\frac{25}{14}}{\left(\frac{5}{2}\right)^{2}}\right)$$

2 daraja ko‘rsatkichini \frac{5}{2} ga hisoblang va \frac{25}{4} ni qiymatni oling.

$$\frac{7}{2}-\left(21+\frac{\frac{25}{14}}{\frac{25}{4}}\right)$$

\frac{25}{14} ni \frac{25}{4} ga bo'lish \frac{25}{14} ga k'paytirish \frac{25}{4} ga qaytarish.

$$\frac{7}{2}-\left(21+\frac{25}{14}\times \frac{4}{25}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{25}{14} ni \frac{4}{25} ga ko‘paytiring.

$$\frac{7}{2}-\left(21+\frac{25\times 4}{14\times 25}\right)$$

Surat va maxrajdagi ikkala 25 ni qisqartiring.

$$\frac{7}{2}-\left(21+\frac{4}{14}\right)$$

\frac{4}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{2}-\left(21+\frac{2}{7}\right)$$

21 ni \frac{147}{7} kasrga o‘giring.

$$\frac{7}{2}-\left(\frac{147}{7}+\frac{2}{7}\right)$$

\frac{147}{7} va \frac{2}{7} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7}{2}-\frac{147+2}{7}$$

149 olish uchun 147 va 2'ni qo'shing.

$$\frac{7}{2}-\frac{149}{7}$$

2 va 7 ning eng kichik umumiy karralisi 14 ga teng. \frac{7}{2} va \frac{149}{7} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$\frac{49}{14}-\frac{298}{14}$$

\frac{49}{14} va \frac{298}{14} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{49-298}{14}$$

-249 olish uchun 49 dan 298 ni ayirish.

$$-\frac{249}{14}$$

Omil

$$-\frac{249}{14} = -17\frac{11}{14} = -17,785714285714285$$