17/5+17/5-(1/3+1/2) eching

$$\frac { 17 } { 5 } + \frac { 17 } { 5 } - ( \frac { 1 } { 3 } + \frac { 1 } { 2 } )$$

Baholash

$$\frac{179}{30}\approx 5,966666667$$

Yechim qadamlari

\frac{17}{5} va \frac{17}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{17+17}{5}-\left(\frac{1}{3}+\frac{1}{2}\right)$$

34 olish uchun 17 va 17'ni qo'shing.

$$\frac{34}{5}-\left(\frac{1}{3}+\frac{1}{2}\right)$$

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

$$\frac{34}{5}-\left(\frac{2}{6}+\frac{3}{6}\right)$$

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

$$\frac{34}{5}-\frac{2+3}{6}$$

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

$$\frac{34}{5}-\frac{5}{6}$$

5 va 6 ning eng kichik umumiy karralisi 30 ga teng. \frac{34}{5} va \frac{5}{6} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{204}{30}-\frac{25}{30}$$

\frac{204}{30} va \frac{25}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{204-25}{30}$$

179 olish uchun 204 dan 25 ni ayirish.

$$\frac{179}{30}$$

Omil

$$\frac{179}{2 \cdot 3 \cdot 5} = 5\frac{29}{30} = 5,966666666666667$$