(1/2+1/3)-(1/5+5/7) eching

$$( \frac { 1 } { 2 } + \frac { 1 } { 3 } ) - ( \frac { 1 } { 5 } + \frac { 5 } { 7 } )$$

Baholash

$$-\frac{17}{210}\approx -0,080952381$$

Yechim qadamlari

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{1}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

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

\frac{3}{6} va \frac{2}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

5 olish uchun 3 va 2'ni qo'shing.

$$\frac{5}{6}-\left(\frac{1}{5}+\frac{5}{7}\right)$$

5 va 7 ning eng kichik umumiy karralisi 35 ga teng. \frac{1}{5} va \frac{5}{7} ni 35 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{6}-\left(\frac{7}{35}+\frac{25}{35}\right)$$

\frac{7}{35} va \frac{25}{35} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{6}-\frac{7+25}{35}$$

32 olish uchun 7 va 25'ni qo'shing.

$$\frac{5}{6}-\frac{32}{35}$$

6 va 35 ning eng kichik umumiy karralisi 210 ga teng. \frac{5}{6} va \frac{32}{35} ni 210 maxraj bilan kasrlarga aylantirib oling.

$$\frac{175}{210}-\frac{192}{210}$$

\frac{175}{210} va \frac{192}{210} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{175-192}{210}$$

-17 olish uchun 175 dan 192 ni ayirish.

$$-\frac{17}{210}$$

Omil

$$-\frac{17}{210} = -0,08095238095238096$$