(1/2)^3+(1/3)^2-(5/6) eching

$$( \frac { 1 } { 2 } ) ^ { 3 } + ( \frac { 1 } { 3 } ) ^ { 2 } - ( \frac { 5 } { 6 } )$$

Baholash

$$-\frac{43}{72}\approx -0,597222222$$

Yechim qadamlari

3 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{8} ni qiymatni oling.

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

2 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{1}{8}+\frac{1}{9}-\frac{5}{6}$$

8 va 9 ning eng kichik umumiy karralisi 72 ga teng. \frac{1}{8} va \frac{1}{9} ni 72 maxraj bilan kasrlarga aylantirib oling.

$$\frac{9}{72}+\frac{8}{72}-\frac{5}{6}$$

\frac{9}{72} va \frac{8}{72} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{9+8}{72}-\frac{5}{6}$$

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

$$\frac{17}{72}-\frac{5}{6}$$

72 va 6 ning eng kichik umumiy karralisi 72 ga teng. \frac{17}{72} va \frac{5}{6} ni 72 maxraj bilan kasrlarga aylantirib oling.

$$\frac{17}{72}-\frac{60}{72}$$

\frac{17}{72} va \frac{60}{72} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{17-60}{72}$$

-43 olish uchun 17 dan 60 ni ayirish.

$$-\frac{43}{72}$$

Omil

$$-\frac{43}{72} = -0,5972222222222222$$