1/5*[1/3div(1/2+5/6)] eching

$$\frac { 1 } { 5 } \times [ \frac { 1 } { 3 } \div ( \frac { 1 } { 2 } + \frac { 5 } { 6 } ) ]$$

Baholash

$$\frac{1}{20}=0,05$$

Yechim qadamlari

2 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{5}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{5}\times \frac{\frac{1}{3}}{\frac{3}{6}+\frac{5}{6}}$$

\frac{3}{6} va \frac{5}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{5}\times \frac{\frac{1}{3}}{\frac{3+5}{6}}$$

8 olish uchun 3 va 5'ni qo'shing.

$$\frac{1}{5}\times \frac{\frac{1}{3}}{\frac{8}{6}}$$

\frac{8}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{5}\times \frac{\frac{1}{3}}{\frac{4}{3}}$$

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

$$\frac{1}{5}\times \frac{1}{3}\times \frac{3}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni \frac{3}{4} ga ko‘paytiring.

$$\frac{1}{5}\times \frac{1\times 3}{3\times 4}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{1}{5}\times \frac{1}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{5} ni \frac{1}{4} ga ko‘paytiring.

$$\frac{1\times 1}{5\times 4}$$

\frac{1\times 1}{5\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1}{20}$$

Omil

$$\frac{1}{2 ^ {2} \cdot 5} = 0,05$$