2/1/3+4/1/5-5/1/6/frac{1/6{1/7}+frac{1/4}{1/8}-frac{1/8}{1/9}}= eching

$$\frac { \frac { 2 } { 1 / 3 } + \frac { 4 } { 1 / 5 } - \frac { 5 } { 1 / 6 } } { \frac { 1 / 6 } { 1 / 7 } + \frac { 1 / 4 } { 1 / 8 } - \frac { 1 / 8 } { 1 / 9 } } =$$

Baholash

$$-\frac{96}{49}\approx -1,959183673$$

Yechim qadamlari

2 ni \frac{1}{3} ga bo'lish 2 ga k'paytirish \frac{1}{3} ga qaytarish.

$$\frac{2\times 3+\frac{4}{\frac{1}{5}}-\frac{5}{\frac{1}{6}}}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{6+\frac{4}{\frac{1}{5}}-\frac{5}{\frac{1}{6}}}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

4 ni \frac{1}{5} ga bo'lish 4 ga k'paytirish \frac{1}{5} ga qaytarish.

$$\frac{6+4\times 5-\frac{5}{\frac{1}{6}}}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

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

$$\frac{6+20-\frac{5}{\frac{1}{6}}}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

26 olish uchun 6 va 20'ni qo'shing.

$$\frac{26-\frac{5}{\frac{1}{6}}}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

5 ni \frac{1}{6} ga bo'lish 5 ga k'paytirish \frac{1}{6} ga qaytarish.

$$\frac{26-5\times 6}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

30 hosil qilish uchun 5 va 6 ni ko'paytirish.

$$\frac{26-30}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

-4 olish uchun 26 dan 30 ni ayirish.

$$\frac{-4}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

\frac{1}{6} ni \frac{1}{7} ga bo'lish \frac{1}{6} ga k'paytirish \frac{1}{7} ga qaytarish.

$$\frac{-4}{\frac{1}{6}\times 7+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

\frac{7}{6} hosil qilish uchun \frac{1}{6} va 7 ni ko'paytirish.

$$\frac{-4}{\frac{7}{6}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

\frac{1}{4} ni \frac{1}{8} ga bo'lish \frac{1}{4} ga k'paytirish \frac{1}{8} ga qaytarish.

$$\frac{-4}{\frac{7}{6}+\frac{1}{4}\times 8-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

\frac{8}{4} hosil qilish uchun \frac{1}{4} va 8 ni ko'paytirish.

$$\frac{-4}{\frac{7}{6}+\frac{8}{4}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

2 ni olish uchun 8 ni 4 ga bo‘ling.

$$\frac{-4}{\frac{7}{6}+2-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

2 ni \frac{12}{6} kasrga o‘giring.

$$\frac{-4}{\frac{7}{6}+\frac{12}{6}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

\frac{7}{6} va \frac{12}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-4}{\frac{7+12}{6}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

19 olish uchun 7 va 12'ni qo'shing.

$$\frac{-4}{\frac{19}{6}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

\frac{1}{8} ni \frac{1}{9} ga bo'lish \frac{1}{8} ga k'paytirish \frac{1}{9} ga qaytarish.

$$\frac{-4}{\frac{19}{6}-\frac{1}{8}\times 9}$$

\frac{9}{8} hosil qilish uchun \frac{1}{8} va 9 ni ko'paytirish.

$$\frac{-4}{\frac{19}{6}-\frac{9}{8}}$$

6 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{19}{6} va \frac{9}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{-4}{\frac{76}{24}-\frac{27}{24}}$$

\frac{76}{24} va \frac{27}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-4}{\frac{76-27}{24}}$$

49 olish uchun 76 dan 27 ni ayirish.

$$\frac{-4}{\frac{49}{24}}$$

-4 ni \frac{49}{24} ga bo'lish -4 ga k'paytirish \frac{49}{24} ga qaytarish.

$$-4\times \frac{24}{49}$$

-4\times \frac{24}{49} ni yagona kasrga aylantiring.

$$\frac{-4\times 24}{49}$$

-96 hosil qilish uchun -4 va 24 ni ko'paytirish.

$$\frac{-96}{49}$$

\frac{-96}{49} kasri manfiy belgini olib tashlash bilan -\frac{96}{49} sifatida qayta yozilishi mumkin.

$$-\frac{96}{49}$$

Omil

$$-\frac{96}{49} = -1\frac{47}{49} = -1,9591836734693877$$