1div{2-3div(4+1/5)} eching

$$1 \div \{ 2 - 3 \div ( 4 + \frac { 1 } { 5 } ) \}$$

Baholash

$$\frac{7}{9}\approx 0,777777778$$

Yechim qadamlari

4 ni \frac{20}{5} kasrga o‘giring.

$$\frac{1}{2-\frac{3}{\frac{20}{5}+\frac{1}{5}}}$$

\frac{20}{5} va \frac{1}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{2-\frac{3}{\frac{20+1}{5}}}$$

21 olish uchun 20 va 1'ni qo'shing.

$$\frac{1}{2-\frac{3}{\frac{21}{5}}}$$

3 ni \frac{21}{5} ga bo'lish 3 ga k'paytirish \frac{21}{5} ga qaytarish.

$$\frac{1}{2-3\times \frac{5}{21}}$$

3\times \frac{5}{21} ni yagona kasrga aylantiring.

$$\frac{1}{2-\frac{3\times 5}{21}}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{1}{2-\frac{15}{21}}$$

\frac{15}{21} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{2-\frac{5}{7}}$$

2 ni \frac{14}{7} kasrga o‘giring.

$$\frac{1}{\frac{14}{7}-\frac{5}{7}}$$

\frac{14}{7} va \frac{5}{7} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{\frac{14-5}{7}}$$

9 olish uchun 14 dan 5 ni ayirish.

$$\frac{1}{\frac{9}{7}}$$

1 ni \frac{9}{7} ga bo'lish 1 ga k'paytirish \frac{9}{7} ga qaytarish.

$$1\times \frac{7}{9}$$

\frac{7}{9} hosil qilish uchun 1 va \frac{7}{9} ni ko'paytirish.

$$\frac{7}{9}$$

Omil

$$\frac{7}{3 ^ {2}} = 0,7777777777777778$$