24/13*(4/5-7/12)-7:31/2 eching

$$2 \frac { 4 } { 13 } \cdot ( \frac { 4 } { 5 } - \frac { 7 } { 12 } ) - 7 : 3 \frac { 1 } { 2 }$$

Baholash

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

Yechim qadamlari

26 hosil qilish uchun 2 va 13 ni ko'paytirish.

$$\frac{26+4}{13}\left(\frac{4}{5}-\frac{7}{12}\right)-\frac{7}{\frac{3\times 2+1}{2}}$$

30 olish uchun 26 va 4'ni qo'shing.

$$\frac{30}{13}\left(\frac{4}{5}-\frac{7}{12}\right)-\frac{7}{\frac{3\times 2+1}{2}}$$

5 va 12 ning eng kichik umumiy karralisi 60 ga teng. \frac{4}{5} va \frac{7}{12} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{30}{13}\left(\frac{48}{60}-\frac{35}{60}\right)-\frac{7}{\frac{3\times 2+1}{2}}$$

\frac{48}{60} va \frac{35}{60} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{30}{13}\times \frac{48-35}{60}-\frac{7}{\frac{3\times 2+1}{2}}$$

13 olish uchun 48 dan 35 ni ayirish.

$$\frac{30}{13}\times \frac{13}{60}-\frac{7}{\frac{3\times 2+1}{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{30}{13} ni \frac{13}{60} ga ko‘paytiring.

$$\frac{30\times 13}{13\times 60}-\frac{7}{\frac{3\times 2+1}{2}}$$

Surat va maxrajdagi ikkala 13 ni qisqartiring.

$$\frac{30}{60}-\frac{7}{\frac{3\times 2+1}{2}}$$

\frac{30}{60} ulushini 30 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{2}-\frac{7}{\frac{3\times 2+1}{2}}$$

7 ni \frac{3\times 2+1}{2} ga bo'lish 7 ga k'paytirish \frac{3\times 2+1}{2} ga qaytarish.

$$\frac{1}{2}-\frac{7\times 2}{3\times 2+1}$$

14 hosil qilish uchun 7 va 2 ni ko'paytirish.

$$\frac{1}{2}-\frac{14}{3\times 2+1}$$

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

$$\frac{1}{2}-\frac{14}{6+1}$$

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

$$\frac{1}{2}-\frac{14}{7}$$

2 ni olish uchun 14 ni 7 ga bo‘ling.

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

2 ni \frac{4}{2} kasrga o‘giring.

$$\frac{1}{2}-\frac{4}{2}$$

\frac{1}{2} va \frac{4}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1-4}{2}$$

-3 olish uchun 1 dan 4 ni ayirish.

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

Omil

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