(1/3+1/7+1/2)div(2/3-frac{1}{2}) eching

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

Baholash

$$\frac{41}{7}\approx 5,857142857$$

Yechim qadamlari

3 va 7 ning eng kichik umumiy karralisi 21 ga teng. \frac{1}{3} va \frac{1}{7} ni 21 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{7}{21}+\frac{3}{21}+\frac{1}{2}}{\frac{2}{3}-\frac{1}{2}}$$

\frac{7}{21} va \frac{3}{21} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{7+3}{21}+\frac{1}{2}}{\frac{2}{3}-\frac{1}{2}}$$

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

$$\frac{\frac{10}{21}+\frac{1}{2}}{\frac{2}{3}-\frac{1}{2}}$$

21 va 2 ning eng kichik umumiy karralisi 42 ga teng. \frac{10}{21} va \frac{1}{2} ni 42 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{20}{42}+\frac{21}{42}}{\frac{2}{3}-\frac{1}{2}}$$

\frac{20}{42} va \frac{21}{42} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{20+21}{42}}{\frac{2}{3}-\frac{1}{2}}$$

41 olish uchun 20 va 21'ni qo'shing.

$$\frac{\frac{41}{42}}{\frac{2}{3}-\frac{1}{2}}$$

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

$$\frac{\frac{41}{42}}{\frac{4}{6}-\frac{3}{6}}$$

\frac{4}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{41}{42}}{\frac{4-3}{6}}$$

1 olish uchun 4 dan 3 ni ayirish.

$$\frac{\frac{41}{42}}{\frac{1}{6}}$$

\frac{41}{42} ni \frac{1}{6} ga bo'lish \frac{41}{42} ga k'paytirish \frac{1}{6} ga qaytarish.

$$\frac{41}{42}\times 6$$

\frac{41}{42}\times 6 ni yagona kasrga aylantiring.

$$\frac{41\times 6}{42}$$

246 hosil qilish uchun 41 va 6 ni ko'paytirish.

$$\frac{246}{42}$$

\frac{246}{42} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{41}{7}$$

Omil

$$\frac{41}{7} = 5\frac{6}{7} = 5,857142857142857$$