1:{2/19*|(3/2+27/5):3/5-(frac{11}{6}-frac{7}{4})|:frac{5}{6}} eching

$$1 : \{ \frac { 2 } { 19 } \times | ( \frac { 3 } { 2 } + \frac { 27 } { 5 } ) : \frac { 3 } { 5 } - ( \frac { 11 } { 6 } - \frac { 7 } { 4 } ) | : \frac { 5 } { 6 } \}$$

Baholash

$$\frac{95}{137}\approx 0,693430657$$

Yechim qadamlari

1 ni \frac{\frac{2}{19}|\frac{\frac{3}{2}+\frac{27}{5}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}{\frac{5}{6}} ga bo'lish 1 ga k'paytirish \frac{\frac{2}{19}|\frac{\frac{3}{2}+\frac{27}{5}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}{\frac{5}{6}} ga qaytarish.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{\frac{3}{2}+\frac{27}{5}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

2 va 5 ning eng kichik umumiy karralisi 10 ga teng. \frac{3}{2} va \frac{27}{5} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{\frac{15}{10}+\frac{54}{10}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

\frac{15}{10} va \frac{54}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{\frac{15+54}{10}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

69 olish uchun 15 va 54'ni qo'shing.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{\frac{69}{10}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

\frac{69}{10} ni \frac{3}{5} ga bo'lish \frac{69}{10} ga k'paytirish \frac{3}{5} ga qaytarish.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{69}{10}\times \frac{5}{3}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{69}{10} ni \frac{5}{3} ga ko‘paytiring.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{69\times 5}{10\times 3}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

\frac{69\times 5}{10\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{345}{30}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

\frac{345}{30} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{23}{2}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

6 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{11}{6} va \frac{7}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{23}{2}-\left(\frac{22}{12}-\frac{21}{12}\right)|}$$

\frac{22}{12} va \frac{21}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{23}{2}-\frac{22-21}{12}|}$$

1 olish uchun 22 dan 21 ni ayirish.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{23}{2}-\frac{1}{12}|}$$

2 va 12 ning eng kichik umumiy karralisi 12 ga teng. \frac{23}{2} va \frac{1}{12} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{138}{12}-\frac{1}{12}|}$$

\frac{138}{12} va \frac{1}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{138-1}{12}|}$$

137 olish uchun 138 dan 1 ni ayirish.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{137}{12}|}$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. \frac{137}{12} ning mutloq qiymati \frac{137}{12} ga teng.

$$\frac{\frac{5}{6}}{\frac{2}{19}\times \frac{137}{12}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{19} ni \frac{137}{12} ga ko‘paytiring.

$$\frac{\frac{5}{6}}{\frac{2\times 137}{19\times 12}}$$

\frac{2\times 137}{19\times 12} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{5}{6}}{\frac{274}{228}}$$

\frac{274}{228} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{5}{6}}{\frac{137}{114}}$$

\frac{5}{6} ni \frac{137}{114} ga bo'lish \frac{5}{6} ga k'paytirish \frac{137}{114} ga qaytarish.

$$\frac{5}{6}\times \frac{114}{137}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{6} ni \frac{114}{137} ga ko‘paytiring.

$$\frac{5\times 114}{6\times 137}$$

\frac{5\times 114}{6\times 137} kasridagi ko‘paytirishlarni bajaring.

$$\frac{570}{822}$$

\frac{570}{822} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{95}{137}$$

Omil

$$\frac{5 \cdot 19}{137} = 0,6934306569343066$$