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

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

Baholash

$$\frac{14}{15}\approx 0,933333333$$

Yechim qadamlari

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{1}{5} va \frac{2}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{15}-\frac{10}{15}-\left(\frac{-\left(-\frac{1}{2}\right)}{-\frac{1}{4}}-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

\frac{3}{15} va \frac{10}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3-10}{15}-\left(\frac{-\left(-\frac{1}{2}\right)}{-\frac{1}{4}}-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

-7 olish uchun 3 dan 10 ni ayirish.

$$-\frac{7}{15}-\left(\frac{-\left(-\frac{1}{2}\right)}{-\frac{1}{4}}-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

-\frac{1}{2} ning teskarisi \frac{1}{2} ga teng.

$$-\frac{7}{15}-\left(\frac{\frac{1}{2}}{-\frac{1}{4}}-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

\frac{1}{2} ni -\frac{1}{4} ga bo'lish \frac{1}{2} ga k'paytirish -\frac{1}{4} ga qaytarish.

$$-\frac{7}{15}-\left(\frac{1}{2}\left(-4\right)-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

\frac{-4}{2} hosil qilish uchun \frac{1}{2} va -4 ni ko'paytirish.

$$-\frac{7}{15}-\left(\frac{-4}{2}-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

-2 ni olish uchun -4 ni 2 ga bo‘ling.

$$-\frac{7}{15}-\left(-2-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

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

$$-\frac{7}{15}-\left(-2-\frac{1}{5}\left(-2\right)\times 3-\frac{3}{5}\right)$$

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

$$-\frac{7}{15}-\left(-2-\frac{1}{5}\left(-6\right)-\frac{3}{5}\right)$$

-\frac{1}{5}\left(-6\right) ni yagona kasrga aylantiring.

$$-\frac{7}{15}-\left(-2+\frac{-\left(-6\right)}{5}-\frac{3}{5}\right)$$

6 hosil qilish uchun -1 va -6 ni ko'paytirish.

$$-\frac{7}{15}-\left(-2+\frac{6}{5}-\frac{3}{5}\right)$$

-2 ni -\frac{10}{5} kasrga o‘giring.

$$-\frac{7}{15}-\left(-\frac{10}{5}+\frac{6}{5}-\frac{3}{5}\right)$$

-\frac{10}{5} va \frac{6}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{7}{15}-\left(\frac{-10+6}{5}-\frac{3}{5}\right)$$

-4 olish uchun -10 va 6'ni qo'shing.

$$-\frac{7}{15}-\left(-\frac{4}{5}-\frac{3}{5}\right)$$

-\frac{4}{5} va \frac{3}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{7}{15}-\frac{-4-3}{5}$$

-7 olish uchun -4 dan 3 ni ayirish.

$$-\frac{7}{15}-\left(-\frac{7}{5}\right)$$

-\frac{7}{5} ning teskarisi \frac{7}{5} ga teng.

$$-\frac{7}{15}+\frac{7}{5}$$

15 va 5 ning eng kichik umumiy karralisi 15 ga teng. -\frac{7}{15} va \frac{7}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{7}{15}+\frac{21}{15}$$

-\frac{7}{15} va \frac{21}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-7+21}{15}$$

14 olish uchun -7 va 21'ni qo'shing.

$$\frac{14}{15}$$

Omil

$$\frac{2 \cdot 7}{3 \cdot 5} = 0,9333333333333333$$