113/14-25/6+16/7 eching

$$1 \frac { 13 } { 14 } - 2 \frac { 5 } { 6 } + 1 \frac { 6 } { 7 }$$

Baholash

$$\frac{20}{21}\approx 0,952380952$$

Yechim qadamlari

14 hosil qilish uchun 1 va 14 ni ko'paytirish.

$$\frac{14+13}{14}-\frac{2\times 6+5}{6}+\frac{1\times 7+6}{7}$$

27 olish uchun 14 va 13'ni qo'shing.

$$\frac{27}{14}-\frac{2\times 6+5}{6}+\frac{1\times 7+6}{7}$$

12 hosil qilish uchun 2 va 6 ni ko'paytirish.

$$\frac{27}{14}-\frac{12+5}{6}+\frac{1\times 7+6}{7}$$

17 olish uchun 12 va 5'ni qo'shing.

$$\frac{27}{14}-\frac{17}{6}+\frac{1\times 7+6}{7}$$

14 va 6 ning eng kichik umumiy karralisi 42 ga teng. \frac{27}{14} va \frac{17}{6} ni 42 maxraj bilan kasrlarga aylantirib oling.

$$\frac{81}{42}-\frac{119}{42}+\frac{1\times 7+6}{7}$$

\frac{81}{42} va \frac{119}{42} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{81-119}{42}+\frac{1\times 7+6}{7}$$

-38 olish uchun 81 dan 119 ni ayirish.

$$\frac{-38}{42}+\frac{1\times 7+6}{7}$$

\frac{-38}{42} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{19}{21}+\frac{1\times 7+6}{7}$$

7 hosil qilish uchun 1 va 7 ni ko'paytirish.

$$-\frac{19}{21}+\frac{7+6}{7}$$

13 olish uchun 7 va 6'ni qo'shing.

$$-\frac{19}{21}+\frac{13}{7}$$

21 va 7 ning eng kichik umumiy karralisi 21 ga teng. -\frac{19}{21} va \frac{13}{7} ni 21 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{19}{21}+\frac{39}{21}$$

-\frac{19}{21} va \frac{39}{21} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-19+39}{21}$$

20 olish uchun -19 va 39'ni qo'shing.

$$\frac{20}{21}$$

Omil

$$\frac{2 ^ {2} \cdot 5}{3 \cdot 7} = 0,9523809523809523$$