1^2/4+4/5+2/5/{left(frac{2{3}right)}^3} eching

$$\frac{ { 1 }^{ 2 } }{ 4 } + \frac{ 4 }{ 5 } + \frac{ \frac{ 2 }{ 5 } }{ { \left( \frac{ 2 }{ 3 } \right) }^{ 3 } }$$

Baholash

$$\frac{12}{5}=2,4$$

Yechim qadamlari

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{1}{4}+\frac{4}{5}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

4 va 5 ning eng kichik umumiy karralisi 20 ga teng. \frac{1}{4} va \frac{4}{5} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{20}+\frac{16}{20}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

\frac{5}{20} va \frac{16}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5+16}{20}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

21 olish uchun 5 va 16'ni qo'shing.

$$\frac{21}{20}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

3 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{8}{27} ni qiymatni oling.

$$\frac{21}{20}+\frac{\frac{2}{5}}{\frac{8}{27}}$$

\frac{2}{5} ni \frac{8}{27} ga bo'lish \frac{2}{5} ga k'paytirish \frac{8}{27} ga qaytarish.

$$\frac{21}{20}+\frac{2}{5}\times \frac{27}{8}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{5} ni \frac{27}{8} ga ko‘paytiring.

$$\frac{21}{20}+\frac{2\times 27}{5\times 8}$$

\frac{2\times 27}{5\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{21}{20}+\frac{54}{40}$$

\frac{54}{40} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{21}{20}+\frac{27}{20}$$

\frac{21}{20} va \frac{27}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{21+27}{20}$$

48 olish uchun 21 va 27'ni qo'shing.

$$\frac{48}{20}$$

\frac{48}{20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{12}{5}$$

Omil

$$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2,4$$