1/2+1/4div1/3(5/2)^2-frac{sqrt{81}}{2} eching

$$\frac { 1 } { 2 } + \frac { 1 } { 4 } \div \frac { 1 } { 3 } ( \frac { 5 } { 2 } ) ^ { 2 } - \frac { \sqrt { 81 } } { 2 }$$

Baholash

$$\frac{11}{16}=0,6875$$

Yechim qadamlari

\frac{1}{4} ni \frac{1}{3} ga bo'lish \frac{1}{4} ga k'paytirish \frac{1}{3} ga qaytarish.

$$\frac{1}{2}+\frac{1}{4}\times 3\times \left(\frac{5}{2}\right)^{2}-\frac{\sqrt{81}}{2}$$

\frac{3}{4} hosil qilish uchun \frac{1}{4} va 3 ni ko'paytirish.

$$\frac{1}{2}+\frac{3}{4}\times \left(\frac{5}{2}\right)^{2}-\frac{\sqrt{81}}{2}$$

2 daraja ko‘rsatkichini \frac{5}{2} ga hisoblang va \frac{25}{4} ni qiymatni oling.

$$\frac{1}{2}+\frac{3}{4}\times \frac{25}{4}-\frac{\sqrt{81}}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{25}{4} ga ko‘paytiring.

$$\frac{1}{2}+\frac{3\times 25}{4\times 4}-\frac{\sqrt{81}}{2}$$

\frac{3\times 25}{4\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1}{2}+\frac{75}{16}-\frac{\sqrt{81}}{2}$$

2 va 16 ning eng kichik umumiy karralisi 16 ga teng. \frac{1}{2} va \frac{75}{16} ni 16 maxraj bilan kasrlarga aylantirib oling.

$$\frac{8}{16}+\frac{75}{16}-\frac{\sqrt{81}}{2}$$

\frac{8}{16} va \frac{75}{16} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{8+75}{16}-\frac{\sqrt{81}}{2}$$

83 olish uchun 8 va 75'ni qo'shing.

$$\frac{83}{16}-\frac{\sqrt{81}}{2}$$

81 ning kvadrat ildizini hisoblab, 9 natijaga ega bo‘ling.

$$\frac{83}{16}-\frac{9}{2}$$

16 va 2 ning eng kichik umumiy karralisi 16 ga teng. \frac{83}{16} va \frac{9}{2} ni 16 maxraj bilan kasrlarga aylantirib oling.

$$\frac{83}{16}-\frac{72}{16}$$

\frac{83}{16} va \frac{72}{16} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{83-72}{16}$$

11 olish uchun 83 dan 72 ni ayirish.

$$\frac{11}{16}$$

Omil

$$\frac{11}{2 ^ {4}} = 0,6875$$