24/5-(2/6+1/4) eching

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

Baholash

$$\frac{133}{60}\approx 2,216666667$$

Yechim qadamlari

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{10+4}{5}-\left(\frac{2}{6}+\frac{1}{4}\right)$$

14 olish uchun 10 va 4'ni qo'shing.

$$\frac{14}{5}-\left(\frac{2}{6}+\frac{1}{4}\right)$$

\frac{2}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{14}{5}-\left(\frac{1}{3}+\frac{1}{4}\right)$$

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

$$\frac{14}{5}-\left(\frac{4}{12}+\frac{3}{12}\right)$$

\frac{4}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{14}{5}-\frac{4+3}{12}$$

7 olish uchun 4 va 3'ni qo'shing.

$$\frac{14}{5}-\frac{7}{12}$$

5 va 12 ning eng kichik umumiy karralisi 60 ga teng. \frac{14}{5} va \frac{7}{12} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{168}{60}-\frac{35}{60}$$

\frac{168}{60} va \frac{35}{60} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{168-35}{60}$$

133 olish uchun 168 dan 35 ni ayirish.

$$\frac{133}{60}$$

Omil

$$\frac{7 \cdot 19}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{13}{60} = 2,216666666666667$$