6-3/2-(11/12+1/4)-(1/2-frac{7}{6}) eching

$$6- \frac{ 3 }{ 2 } -( \frac{ 11 }{ 12 } + \frac{ 1 }{ 4 } )-( \frac{ 1 }{ 2 } - \frac{ 7 }{ 6 } )$$

Baholash

$$4$$

Yechim qadamlari

6 ni \frac{12}{2} kasrga o‘giring.

$$\frac{12}{2}-\frac{3}{2}-\left(\frac{11}{12}+\frac{1}{4}\right)-\left(\frac{1}{2}-\frac{7}{6}\right)$$

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

$$\frac{12-3}{2}-\left(\frac{11}{12}+\frac{1}{4}\right)-\left(\frac{1}{2}-\frac{7}{6}\right)$$

9 olish uchun 12 dan 3 ni ayirish.

$$\frac{9}{2}-\left(\frac{11}{12}+\frac{1}{4}\right)-\left(\frac{1}{2}-\frac{7}{6}\right)$$

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

$$\frac{9}{2}-\left(\frac{11}{12}+\frac{3}{12}\right)-\left(\frac{1}{2}-\frac{7}{6}\right)$$

\frac{11}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{9}{2}-\frac{11+3}{12}-\left(\frac{1}{2}-\frac{7}{6}\right)$$

14 olish uchun 11 va 3'ni qo'shing.

$$\frac{9}{2}-\frac{14}{12}-\left(\frac{1}{2}-\frac{7}{6}\right)$$

\frac{14}{12} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{9}{2}-\frac{7}{6}-\left(\frac{1}{2}-\frac{7}{6}\right)$$

2 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{9}{2} va \frac{7}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{27}{6}-\frac{7}{6}-\left(\frac{1}{2}-\frac{7}{6}\right)$$

\frac{27}{6} va \frac{7}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{27-7}{6}-\left(\frac{1}{2}-\frac{7}{6}\right)$$

20 olish uchun 27 dan 7 ni ayirish.

$$\frac{20}{6}-\left(\frac{1}{2}-\frac{7}{6}\right)$$

\frac{20}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{10}{3}-\left(\frac{1}{2}-\frac{7}{6}\right)$$

2 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{7}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

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

\frac{3}{6} va \frac{7}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{10}{3}-\frac{3-7}{6}$$

-4 olish uchun 3 dan 7 ni ayirish.

$$\frac{10}{3}-\frac{-4}{6}$$

\frac{-4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{10}{3}-\left(-\frac{2}{3}\right)$$

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

$$\frac{10}{3}+\frac{2}{3}$$

\frac{10}{3} va \frac{2}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{10+2}{3}$$

12 olish uchun 10 va 2'ni qo'shing.

$$\frac{12}{3}$$

4 ni olish uchun 12 ni 3 ga bo‘ling.

$$4$$

Omil

$$2^{2}$$