22/7*({left(7/2right)}^2-{left(1/4right)}^2)*140 eching

$$\frac{ 22 }{ 7 } \times ( { \left( \frac{ 7 }{ 2 } \right) }^{ 2 } - { \left( \frac{ 1 }{ 4 } \right) }^{ 2 } ) \times 140$$

Baholash

$$\frac{10725}{2}=5362,5$$

Yechim qadamlari

2 daraja ko‘rsatkichini \frac{7}{2} ga hisoblang va \frac{49}{4} ni qiymatni oling.

$$\frac{22}{7}\left(\frac{49}{4}-\left(\frac{1}{4}\right)^{2}\right)\times 140$$

2 daraja ko‘rsatkichini \frac{1}{4} ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\frac{22}{7}\left(\frac{49}{4}-\frac{1}{16}\right)\times 140$$

4 va 16 ning eng kichik umumiy karralisi 16 ga teng. \frac{49}{4} va \frac{1}{16} ni 16 maxraj bilan kasrlarga aylantirib oling.

$$\frac{22}{7}\left(\frac{196}{16}-\frac{1}{16}\right)\times 140$$

\frac{196}{16} va \frac{1}{16} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{22}{7}\times \frac{196-1}{16}\times 140$$

195 olish uchun 196 dan 1 ni ayirish.

$$\frac{22}{7}\times \frac{195}{16}\times 140$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{22}{7} ni \frac{195}{16} ga ko‘paytiring.

$$\frac{22\times 195}{7\times 16}\times 140$$

\frac{22\times 195}{7\times 16} kasridagi ko‘paytirishlarni bajaring.

$$\frac{4290}{112}\times 140$$

\frac{4290}{112} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2145}{56}\times 140$$

\frac{2145}{56}\times 140 ni yagona kasrga aylantiring.

$$\frac{2145\times 140}{56}$$

300300 hosil qilish uchun 2145 va 140 ni ko'paytirish.

$$\frac{300300}{56}$$

\frac{300300}{56} ulushini 28 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{10725}{2}$$

Omil

$$\frac{3 \cdot 5 ^ {2} \cdot 11 \cdot 13}{2} = 5362\frac{1}{2} = 5362,5$$