62/5+31/3+1/2-7/10 eching

$$6 \frac { 2 } { 5 } + 3 \frac { 1 } { 3 } + \frac { 1 } { 2 } - \frac { 7 } { 10 }$$

Baholash

$$\frac{143}{15}\approx 9,533333333$$

Yechim qadamlari

30 hosil qilish uchun 6 va 5 ni ko'paytirish.

$$\frac{30+2}{5}+\frac{3\times 3+1}{3}+\frac{1}{2}-\frac{7}{10}$$

32 olish uchun 30 va 2'ni qo'shing.

$$\frac{32}{5}+\frac{3\times 3+1}{3}+\frac{1}{2}-\frac{7}{10}$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$\frac{32}{5}+\frac{9+1}{3}+\frac{1}{2}-\frac{7}{10}$$

10 olish uchun 9 va 1'ni qo'shing.

$$\frac{32}{5}+\frac{10}{3}+\frac{1}{2}-\frac{7}{10}$$

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{32}{5} va \frac{10}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{96}{15}+\frac{50}{15}+\frac{1}{2}-\frac{7}{10}$$

\frac{96}{15} va \frac{50}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{96+50}{15}+\frac{1}{2}-\frac{7}{10}$$

146 olish uchun 96 va 50'ni qo'shing.

$$\frac{146}{15}+\frac{1}{2}-\frac{7}{10}$$

15 va 2 ning eng kichik umumiy karralisi 30 ga teng. \frac{146}{15} va \frac{1}{2} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{292}{30}+\frac{15}{30}-\frac{7}{10}$$

\frac{292}{30} va \frac{15}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{292+15}{30}-\frac{7}{10}$$

307 olish uchun 292 va 15'ni qo'shing.

$$\frac{307}{30}-\frac{7}{10}$$

30 va 10 ning eng kichik umumiy karralisi 30 ga teng. \frac{307}{30} va \frac{7}{10} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{307}{30}-\frac{21}{30}$$

\frac{307}{30} va \frac{21}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{307-21}{30}$$

286 olish uchun 307 dan 21 ni ayirish.

$$\frac{286}{30}$$

\frac{286}{30} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{143}{15}$$

Omil

$$\frac{11 \cdot 13}{3 \cdot 5} = 9\frac{8}{15} = 9,533333333333333$$