[9-{8-(1/3+1/4)*6}]div{8-(1/3+1/2)*6} eching

$$[ 9 - \{ 8 - ( \frac { 1 } { 3 } + \frac { 1 } { 4 } ) \times 6 \} ] \div \{ 8 - ( \frac { 1 } { 3 } + \frac { 1 } { 2 } ) \times 6 \}$$

Baholash

$$\frac{3}{2}=1,5$$

Yechim qadamlari

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.

$$\frac{9-\left(8-\left(\frac{4}{12}+\frac{3}{12}\right)\times 6\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

\frac{4}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{9-\left(8-\frac{4+3}{12}\times 6\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

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

$$\frac{9-\left(8-\frac{7}{12}\times 6\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

\frac{7}{12}\times 6 ni yagona kasrga aylantiring.

$$\frac{9-\left(8-\frac{7\times 6}{12}\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

42 hosil qilish uchun 7 va 6 ni ko'paytirish.

$$\frac{9-\left(8-\frac{42}{12}\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

\frac{42}{12} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{9-\left(8-\frac{7}{2}\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

8 ni \frac{16}{2} kasrga o‘giring.

$$\frac{9-\left(\frac{16}{2}-\frac{7}{2}\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

\frac{16}{2} va \frac{7}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{9-\frac{16-7}{2}}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

9 olish uchun 16 dan 7 ni ayirish.

$$\frac{9-\frac{9}{2}}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

9 ni \frac{18}{2} kasrga o‘giring.

$$\frac{\frac{18}{2}-\frac{9}{2}}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

\frac{18}{2} va \frac{9}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{18-9}{2}}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

9 olish uchun 18 dan 9 ni ayirish.

$$\frac{\frac{9}{2}}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{1}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{9}{2}}{8-\left(\frac{2}{6}+\frac{3}{6}\right)\times 6}$$

\frac{2}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{9}{2}}{8-\frac{2+3}{6}\times 6}$$

5 olish uchun 2 va 3'ni qo'shing.

$$\frac{\frac{9}{2}}{8-\frac{5}{6}\times 6}$$

6 va 6 ni qisqartiring.

$$\frac{\frac{9}{2}}{8-5}$$

3 olish uchun 8 dan 5 ni ayirish.

$$\frac{\frac{9}{2}}{3}$$

\frac{\frac{9}{2}}{3} ni yagona kasrga aylantiring.

$$\frac{9}{2\times 3}$$

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

$$\frac{9}{6}$$

\frac{9}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{2}$$

Omil

$$\frac{3}{2} = 1\frac{1}{2} = 1,5$$