12:(4+5:(2+1/4))= eching

$$12 : ( 4 + 5 : ( 2 + \frac { 1 } { 4 } ) ) =$$

Baholash

$$\frac{27}{14}\approx 1,928571429$$

Yechim qadamlari

2 ni \frac{8}{4} kasrga o‘giring.

$$\frac{12}{4+\frac{5}{\frac{8}{4}+\frac{1}{4}}}$$

\frac{8}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{12}{4+\frac{5}{\frac{8+1}{4}}}$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{12}{4+\frac{5}{\frac{9}{4}}}$$

5 ni \frac{9}{4} ga bo'lish 5 ga k'paytirish \frac{9}{4} ga qaytarish.

$$\frac{12}{4+5\times \frac{4}{9}}$$

5\times \frac{4}{9} ni yagona kasrga aylantiring.

$$\frac{12}{4+\frac{5\times 4}{9}}$$

20 hosil qilish uchun 5 va 4 ni ko'paytirish.

$$\frac{12}{4+\frac{20}{9}}$$

4 ni \frac{36}{9} kasrga o‘giring.

$$\frac{12}{\frac{36}{9}+\frac{20}{9}}$$

\frac{36}{9} va \frac{20}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{12}{\frac{36+20}{9}}$$

56 olish uchun 36 va 20'ni qo'shing.

$$\frac{12}{\frac{56}{9}}$$

12 ni \frac{56}{9} ga bo'lish 12 ga k'paytirish \frac{56}{9} ga qaytarish.

$$12\times \frac{9}{56}$$

12\times \frac{9}{56} ni yagona kasrga aylantiring.

$$\frac{12\times 9}{56}$$

108 hosil qilish uchun 12 va 9 ni ko'paytirish.

$$\frac{108}{56}$$

\frac{108}{56} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{27}{14}$$

Omil

$$\frac{3 ^ {3}}{2 \cdot 7} = 1\frac{13}{14} = 1,9285714285714286$$