1+2/3+5{1-frac{1/3}} eching

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

Baholash

$$\frac{25}{21}\approx 1,19047619$$

Yechim qadamlari

1 ni \frac{3}{3} kasrga o‘giring.

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

\frac{3}{3} va \frac{1}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

2 olish uchun 3 dan 1 ni ayirish.

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

5 ni \frac{2}{3} ga bo'lish 5 ga k'paytirish \frac{2}{3} ga qaytarish.

$$1+\frac{2}{3+5\times \frac{3}{2}}$$

5\times \frac{3}{2} ni yagona kasrga aylantiring.

$$1+\frac{2}{3+\frac{5\times 3}{2}}$$

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

$$1+\frac{2}{3+\frac{15}{2}}$$

3 ni \frac{6}{2} kasrga o‘giring.

$$1+\frac{2}{\frac{6}{2}+\frac{15}{2}}$$

\frac{6}{2} va \frac{15}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$1+\frac{2}{\frac{6+15}{2}}$$

21 olish uchun 6 va 15'ni qo'shing.

$$1+\frac{2}{\frac{21}{2}}$$

2 ni \frac{21}{2} ga bo'lish 2 ga k'paytirish \frac{21}{2} ga qaytarish.

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

2\times \frac{2}{21} ni yagona kasrga aylantiring.

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

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$1+\frac{4}{21}$$

1 ni \frac{21}{21} kasrga o‘giring.

$$\frac{21}{21}+\frac{4}{21}$$

\frac{21}{21} va \frac{4}{21} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{21+4}{21}$$

25 olish uchun 21 va 4'ni qo'shing.

$$\frac{25}{21}$$

Omil

$$\frac{5 ^ {2}}{3 \cdot 7} = 1\frac{4}{21} = 1,1904761904761905$$