5/6+2/3-(3/4+1/6)= eching

$$\frac{ 5 }{ 6 } + \frac{ 2 }{ 3 } -( \frac{ 3 }{ 4 } + \frac{ 1 }{ 6 } )=$$

Baholash

$$\frac{7}{12}\approx 0,583333333$$

Yechim qadamlari

6 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{6} va \frac{2}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

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

\frac{5}{6} va \frac{4}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

9 olish uchun 5 va 4'ni qo'shing.

$$\frac{9}{6}-\left(\frac{3}{4}+\frac{1}{6}\right)$$

\frac{9}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

4 va 6 ning eng kichik umumiy karralisi 12 ga teng. \frac{3}{4} va \frac{1}{6} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{2}-\left(\frac{9}{12}+\frac{2}{12}\right)$$

\frac{9}{12} va \frac{2}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3}{2}-\frac{9+2}{12}$$

11 olish uchun 9 va 2'ni qo'shing.

$$\frac{3}{2}-\frac{11}{12}$$

2 va 12 ning eng kichik umumiy karralisi 12 ga teng. \frac{3}{2} va \frac{11}{12} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{18}{12}-\frac{11}{12}$$

\frac{18}{12} va \frac{11}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{18-11}{12}$$

7 olish uchun 18 dan 11 ni ayirish.

$$\frac{7}{12}$$

Omil

$$\frac{7}{2 ^ {2} \cdot 3} = 0,5833333333333334$$