(-21/3+13/4)-{1/6-(-1/2)^2} eching

$$( - 2 \frac { 1 } { 3 } + 1 \frac { 3 } { 4 } ) - \{ \frac { 1 } { 6 } - ( - \frac { 1 } { 2 } ) ^ { 2 } \}$$

Baholash

$$-\frac{1}{2}=-0,5$$

Yechim qadamlari

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

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

7 olish uchun 6 va 1'ni qo'shing.

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

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

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

7 olish uchun 4 va 3'ni qo'shing.

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

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. -\frac{7}{3} va \frac{7}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{28}{12}+\frac{21}{12}-\left(\frac{1}{6}-\left(-\frac{1}{2}\right)^{2}\right)$$

-\frac{28}{12} va \frac{21}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-28+21}{12}-\left(\frac{1}{6}-\left(-\frac{1}{2}\right)^{2}\right)$$

-7 olish uchun -28 va 21'ni qo'shing.

$$-\frac{7}{12}-\left(\frac{1}{6}-\left(-\frac{1}{2}\right)^{2}\right)$$

2 daraja ko‘rsatkichini -\frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$-\frac{7}{12}-\left(\frac{1}{6}-\frac{1}{4}\right)$$

6 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{6} va \frac{1}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{7}{12}-\left(\frac{2}{12}-\frac{3}{12}\right)$$

\frac{2}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{7}{12}-\frac{2-3}{12}$$

-1 olish uchun 2 dan 3 ni ayirish.

$$-\frac{7}{12}-\left(-\frac{1}{12}\right)$$

-\frac{1}{12} ning teskarisi \frac{1}{12} ga teng.

$$-\frac{7}{12}+\frac{1}{12}$$

-\frac{7}{12} va \frac{1}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-7+1}{12}$$

-6 olish uchun -7 va 1'ni qo'shing.

$$\frac{-6}{12}$$

\frac{-6}{12} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{1}{2}$$

Omil

$$-\frac{1}{2} = -0,5$$