-2/5-((1/3+1/-4):(1/15)+frac{1}{10})= eching

$$\frac { - 2 } { 5 } - ( ( \frac { 1 } { 3 } + \frac { 1 } { - 4 } ) : ( \frac { 1 } { 15 } ) + \frac { 1 } { 10 } ) =$$

Baholash

$$-\frac{7}{4}=-1,75$$

Yechim qadamlari

\frac{-2}{5} kasri manfiy belgini olib tashlash bilan -\frac{2}{5} sifatida qayta yozilishi mumkin.

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

\frac{1}{-4} kasri manfiy belgini olib tashlash bilan -\frac{1}{4} sifatida qayta yozilishi mumkin.

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

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{3} va \frac{1}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{2}{5}-\left(\frac{\frac{4}{12}-\frac{3}{12}}{\frac{1}{15}}+\frac{1}{10}\right)$$

\frac{4}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{2}{5}-\left(\frac{\frac{4-3}{12}}{\frac{1}{15}}+\frac{1}{10}\right)$$

1 olish uchun 4 dan 3 ni ayirish.

$$-\frac{2}{5}-\left(\frac{\frac{1}{12}}{\frac{1}{15}}+\frac{1}{10}\right)$$

\frac{1}{12} ni \frac{1}{15} ga bo'lish \frac{1}{12} ga k'paytirish \frac{1}{15} ga qaytarish.

$$-\frac{2}{5}-\left(\frac{1}{12}\times 15+\frac{1}{10}\right)$$

\frac{15}{12} hosil qilish uchun \frac{1}{12} va 15 ni ko'paytirish.

$$-\frac{2}{5}-\left(\frac{15}{12}+\frac{1}{10}\right)$$

\frac{15}{12} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{2}{5}-\left(\frac{5}{4}+\frac{1}{10}\right)$$

4 va 10 ning eng kichik umumiy karralisi 20 ga teng. \frac{5}{4} va \frac{1}{10} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{2}{5}-\left(\frac{25}{20}+\frac{2}{20}\right)$$

\frac{25}{20} va \frac{2}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{2}{5}-\frac{25+2}{20}$$

27 olish uchun 25 va 2'ni qo'shing.

$$-\frac{2}{5}-\frac{27}{20}$$

5 va 20 ning eng kichik umumiy karralisi 20 ga teng. -\frac{2}{5} va \frac{27}{20} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{8}{20}-\frac{27}{20}$$

-\frac{8}{20} va \frac{27}{20} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-8-27}{20}$$

-35 olish uchun -8 dan 27 ni ayirish.

$$\frac{-35}{20}$$

\frac{-35}{20} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{7}{4}$$

Omil

$$-\frac{7}{4} = -1\frac{3}{4} = -1,75$$