42/23/3frac{8{23}}-217/23+-17/23 eching

$$\frac{ 4 \frac{ 2 }{ 23 } }{ 3 \frac{ 8 }{ 23 } } -2 \frac{ 17 }{ 23 } +-1 \frac{ 7 }{ 23 }$$

Baholash

$$-\frac{4999}{1771}\approx -2,82269904$$

Yechim qadamlari

\frac{4\times 23+2}{23} ni \frac{3\times 23+8}{23} ga bo'lish \frac{4\times 23+2}{23} ga k'paytirish \frac{3\times 23+8}{23} ga qaytarish.

$$\frac{\left(4\times 23+2\right)\times 23}{23\left(3\times 23+8\right)}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Surat va maxrajdagi ikkala 23 ni qisqartiring.

$$\frac{2+4\times 23}{8+3\times 23}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

92 hosil qilish uchun 4 va 23 ni ko'paytirish.

$$\frac{2+92}{8+3\times 23}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

94 olish uchun 2 va 92'ni qo'shing.

$$\frac{94}{8+3\times 23}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

69 hosil qilish uchun 3 va 23 ni ko'paytirish.

$$\frac{94}{8+69}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

77 olish uchun 8 va 69'ni qo'shing.

$$\frac{94}{77}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

46 hosil qilish uchun 2 va 23 ni ko'paytirish.

$$\frac{94}{77}-\frac{46+17}{23}-\frac{1\times 23+7}{23}$$

63 olish uchun 46 va 17'ni qo'shing.

$$\frac{94}{77}-\frac{63}{23}-\frac{1\times 23+7}{23}$$

77 va 23 ning eng kichik umumiy karralisi 1771 ga teng. \frac{94}{77} va \frac{63}{23} ni 1771 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2162}{1771}-\frac{4851}{1771}-\frac{1\times 23+7}{23}$$

\frac{2162}{1771} va \frac{4851}{1771} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2162-4851}{1771}-\frac{1\times 23+7}{23}$$

-2689 olish uchun 2162 dan 4851 ni ayirish.

$$-\frac{2689}{1771}-\frac{1\times 23+7}{23}$$

23 hosil qilish uchun 1 va 23 ni ko'paytirish.

$$-\frac{2689}{1771}-\frac{23+7}{23}$$

30 olish uchun 23 va 7'ni qo'shing.

$$-\frac{2689}{1771}-\frac{30}{23}$$

1771 va 23 ning eng kichik umumiy karralisi 1771 ga teng. -\frac{2689}{1771} va \frac{30}{23} ni 1771 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{2689}{1771}-\frac{2310}{1771}$$

-\frac{2689}{1771} va \frac{2310}{1771} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-2689-2310}{1771}$$

-4999 olish uchun -2689 dan 2310 ni ayirish.

$$-\frac{4999}{1771}$$

Omil

$$-\frac{4999}{1771} = -2\frac{1457}{1771} = -2,8226990400903444$$