1-1/21+1/2*1/2^2 eching

$$1 - \frac { 1 } { 21 } + \frac { 1 } { 2 } \times \frac { 1 } { 2 ^ { 2 } }$$

Baholash

$$\frac{181}{168}\approx 1,077380952$$

Yechim qadamlari

1 ni \frac{21}{21} kasrga o‘giring.

$$\frac{21}{21}-\frac{1}{21}+\frac{1}{2}\times \frac{1}{2^{2}}$$

\frac{21}{21} va \frac{1}{21} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{21-1}{21}+\frac{1}{2}\times \frac{1}{2^{2}}$$

20 olish uchun 21 dan 1 ni ayirish.

$$\frac{20}{21}+\frac{1}{2}\times \frac{1}{2^{2}}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{20}{21}+\frac{1}{2}\times \frac{1}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{1}{4} ga ko‘paytiring.

$$\frac{20}{21}+\frac{1\times 1}{2\times 4}$$

\frac{1\times 1}{2\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{20}{21}+\frac{1}{8}$$

21 va 8 ning eng kichik umumiy karralisi 168 ga teng. \frac{20}{21} va \frac{1}{8} ni 168 maxraj bilan kasrlarga aylantirib oling.

$$\frac{160}{168}+\frac{21}{168}$$

\frac{160}{168} va \frac{21}{168} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{160+21}{168}$$

181 olish uchun 160 va 21'ni qo'shing.

$$\frac{181}{168}$$

Omil

$$\frac{181}{2 ^ {3} \cdot 3 \cdot 7} = 1\frac{13}{168} = 1,0773809523809523$$