3/4-7/2+(-1/6)-(-2/3)-1 eching

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

Baholash

$$-\frac{13}{4}=-3,25$$

Yechim qadamlari

4 va 2 ning eng kichik umumiy karralisi 4 ga teng. \frac{3}{4} va \frac{7}{2} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{4}-\frac{14}{4}-\frac{1}{6}-\left(-\frac{2}{3}\right)-1$$

\frac{3}{4} va \frac{14}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3-14}{4}-\frac{1}{6}-\left(-\frac{2}{3}\right)-1$$

-11 olish uchun 3 dan 14 ni ayirish.

$$-\frac{11}{4}-\frac{1}{6}-\left(-\frac{2}{3}\right)-1$$

4 va 6 ning eng kichik umumiy karralisi 12 ga teng. -\frac{11}{4} va \frac{1}{6} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{33}{12}-\frac{2}{12}-\left(-\frac{2}{3}\right)-1$$

-\frac{33}{12} va \frac{2}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-33-2}{12}-\left(-\frac{2}{3}\right)-1$$

-35 olish uchun -33 dan 2 ni ayirish.

$$-\frac{35}{12}-\left(-\frac{2}{3}\right)-1$$

-\frac{2}{3} ning teskarisi \frac{2}{3} ga teng.

$$-\frac{35}{12}+\frac{2}{3}-1$$

12 va 3 ning eng kichik umumiy karralisi 12 ga teng. -\frac{35}{12} va \frac{2}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{35}{12}+\frac{8}{12}-1$$

-\frac{35}{12} va \frac{8}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-35+8}{12}-1$$

-27 olish uchun -35 va 8'ni qo'shing.

$$\frac{-27}{12}-1$$

\frac{-27}{12} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{9}{4}-1$$

1 ni \frac{4}{4} kasrga o‘giring.

$$-\frac{9}{4}-\frac{4}{4}$$

-\frac{9}{4} va \frac{4}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-9-4}{4}$$

-13 olish uchun -9 dan 4 ni ayirish.

$$-\frac{13}{4}$$

Omil

$$-\frac{13}{4} = -3\frac{1}{4} = -3,25$$