25/7+3/10-4(-69/70) eching

$$2 \frac { 5 } { 7 } + \frac { 3 } { 10 } - 4 ( \frac { - 69 } { 70 } )$$

Baholash

$$\frac{487}{70}\approx 6,957142857$$

Yechim qadamlari

14 hosil qilish uchun 2 va 7 ni ko'paytirish.

$$\frac{14+5}{7}+\frac{3}{10}-4\times \frac{-69}{70}$$

19 olish uchun 14 va 5'ni qo'shing.

$$\frac{19}{7}+\frac{3}{10}-4\times \frac{-69}{70}$$

7 va 10 ning eng kichik umumiy karralisi 70 ga teng. \frac{19}{7} va \frac{3}{10} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$\frac{190}{70}+\frac{21}{70}-4\times \frac{-69}{70}$$

\frac{190}{70} va \frac{21}{70} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{190+21}{70}-4\times \frac{-69}{70}$$

211 olish uchun 190 va 21'ni qo'shing.

$$\frac{211}{70}-4\times \frac{-69}{70}$$

\frac{-69}{70} kasri manfiy belgini olib tashlash bilan -\frac{69}{70} sifatida qayta yozilishi mumkin.

$$\frac{211}{70}-4\left(-\frac{69}{70}\right)$$

4\left(-\frac{69}{70}\right) ni yagona kasrga aylantiring.

$$\frac{211}{70}-\frac{4\left(-69\right)}{70}$$

-276 hosil qilish uchun 4 va -69 ni ko'paytirish.

$$\frac{211}{70}-\frac{-276}{70}$$

\frac{-276}{70} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{211}{70}-\left(-\frac{138}{35}\right)$$

-\frac{138}{35} ning teskarisi \frac{138}{35} ga teng.

$$\frac{211}{70}+\frac{138}{35}$$

70 va 35 ning eng kichik umumiy karralisi 70 ga teng. \frac{211}{70} va \frac{138}{35} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$\frac{211}{70}+\frac{276}{70}$$

\frac{211}{70} va \frac{276}{70} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{211+276}{70}$$

487 olish uchun 211 va 276'ni qo'shing.

$$\frac{487}{70}$$

Omil

$$\frac{487}{2 \cdot 5 \cdot 7} = 6\frac{67}{70} = 6,957142857142857$$