[(2-1*3/5)^2+(5/8-3/4)-(6/5*frac{1}{3})(7*frac{1}{2})]div(5-frac{6}{5}) eching

$$[ ( 2 - 1 \cdot \frac { 3 } { 5 } ) ^ { 2 } + ( \frac { 5 } { 8 } - \frac { 3 } { 4 } ) - ( \frac { 6 } { 5 } \cdot \frac { 1 } { 3 } ) ( 7 \cdot \frac { 1 } { 2 } ) ] \div ( 5 - \frac { 6 } { 5 } )$$

Baholash

$$\frac{87}{760}\approx 0,114473684$$

Yechim qadamlari

\frac{3}{5} hosil qilish uchun 1 va \frac{3}{5} ni ko'paytirish.

$$\frac{\left(2-\frac{3}{5}\right)^{2}+\frac{5}{8}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

\frac{7}{5} olish uchun 2 dan \frac{3}{5} ni ayirish.

$$\frac{\left(\frac{7}{5}\right)^{2}+\frac{5}{8}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

2 daraja ko‘rsatkichini \frac{7}{5} ga hisoblang va \frac{49}{25} ni qiymatni oling.

$$\frac{\frac{49}{25}+\frac{5}{8}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

\frac{517}{200} olish uchun \frac{49}{25} va \frac{5}{8}'ni qo'shing.

$$\frac{\frac{517}{200}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

\frac{367}{200} olish uchun \frac{517}{200} dan \frac{3}{4} ni ayirish.

$$\frac{\frac{367}{200}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

\frac{2}{5} hosil qilish uchun \frac{6}{5} va \frac{1}{3} ni ko'paytirish.

$$\frac{\frac{367}{200}-\frac{2}{5}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

\frac{14}{5} hosil qilish uchun \frac{2}{5} va 7 ni ko'paytirish.

$$\frac{\frac{367}{200}-\frac{14}{5}\times \frac{1}{2}}{5-\frac{6}{5}}$$

\frac{7}{5} hosil qilish uchun \frac{14}{5} va \frac{1}{2} ni ko'paytirish.

$$\frac{\frac{367}{200}-\frac{7}{5}}{5-\frac{6}{5}}$$

\frac{87}{200} olish uchun \frac{367}{200} dan \frac{7}{5} ni ayirish.

$$\frac{\frac{87}{200}}{5-\frac{6}{5}}$$

\frac{19}{5} olish uchun 5 dan \frac{6}{5} ni ayirish.

$$\frac{\frac{87}{200}}{\frac{19}{5}}$$

\frac{87}{200} ni \frac{19}{5} ga bo'lish \frac{87}{200} ga k'paytirish \frac{19}{5} ga qaytarish.

$$\frac{87}{200}\times \frac{5}{19}$$

\frac{87}{760} hosil qilish uchun \frac{87}{200} va \frac{5}{19} ni ko'paytirish.

$$\frac{87}{760}$$

Omil

$$\frac{3 \cdot 29}{2 ^ {3} \cdot 5 \cdot 19} = 0,11447368421052631$$