1/6text{of}(31/2-21/4)+51/8divfrac{3}{16}-frac{1}{2} eching

$$\frac { 1 } { 6 } \text { of } ( 3 \frac { 1 } { 2 } - 2 \frac { 1 } { 4 } ) + 5 \frac { 1 } { 8 } \div \frac { 3 } { 16 } - \frac { 1 } { 2 }$$

Baholash

$$\frac{649}{24}\approx 27,041666667$$

Yechim qadamlari

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

$$\frac{1}{6}\left(\frac{6+1}{2}-\frac{2\times 4+1}{4}\right)+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

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

$$\frac{1}{6}\left(\frac{7}{2}-\frac{2\times 4+1}{4}\right)+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{1}{6}\left(\frac{7}{2}-\frac{8+1}{4}\right)+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{1}{6}\left(\frac{7}{2}-\frac{9}{4}\right)+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

2 va 4 ning eng kichik umumiy karralisi 4 ga teng. \frac{7}{2} va \frac{9}{4} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{6}\left(\frac{14}{4}-\frac{9}{4}\right)+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

\frac{14}{4} va \frac{9}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{6}\times \frac{14-9}{4}+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

5 olish uchun 14 dan 9 ni ayirish.

$$\frac{1}{6}\times \frac{5}{4}+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{6} ni \frac{5}{4} ga ko‘paytiring.

$$\frac{1\times 5}{6\times 4}+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

\frac{1\times 5}{6\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{5}{24}+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

\frac{5\times 8+1}{8} ni \frac{3}{16} ga bo'lish \frac{5\times 8+1}{8} ga k'paytirish \frac{3}{16} ga qaytarish.

$$\frac{5}{24}+\frac{\left(5\times 8+1\right)\times 16}{8\times 3}-\frac{1}{2}$$

Surat va maxrajdagi ikkala 8 ni qisqartiring.

$$\frac{5}{24}+\frac{2\left(1+5\times 8\right)}{3}-\frac{1}{2}$$

40 hosil qilish uchun 5 va 8 ni ko'paytirish.

$$\frac{5}{24}+\frac{2\left(1+40\right)}{3}-\frac{1}{2}$$

41 olish uchun 1 va 40'ni qo'shing.

$$\frac{5}{24}+\frac{2\times 41}{3}-\frac{1}{2}$$

82 hosil qilish uchun 2 va 41 ni ko'paytirish.

$$\frac{5}{24}+\frac{82}{3}-\frac{1}{2}$$

24 va 3 ning eng kichik umumiy karralisi 24 ga teng. \frac{5}{24} va \frac{82}{3} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{24}+\frac{656}{24}-\frac{1}{2}$$

\frac{5}{24} va \frac{656}{24} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5+656}{24}-\frac{1}{2}$$

661 olish uchun 5 va 656'ni qo'shing.

$$\frac{661}{24}-\frac{1}{2}$$

24 va 2 ning eng kichik umumiy karralisi 24 ga teng. \frac{661}{24} va \frac{1}{2} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{661}{24}-\frac{12}{24}$$

\frac{661}{24} va \frac{12}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{661-12}{24}$$

649 olish uchun 661 dan 12 ni ayirish.

$$\frac{649}{24}$$

Omil

$$\frac{11 \cdot 59}{2 ^ {3} \cdot 3} = 27\frac{1}{24} = 27,041666666666668$$