7/3+21/8(-41/9+5/7*7) eching

$$\frac{ 7 }{ 3 } + \frac{ 21 }{ 8 } ( \frac{ -41 }{ 9 } + \frac{ 5 }{ 7 } \times 7)$$

Baholash

$$\frac{7}{2}=3,5$$

Yechim qadamlari

\frac{-41}{9} kasri manfiy belgini olib tashlash bilan -\frac{41}{9} sifatida qayta yozilishi mumkin.

$$\frac{7}{3}+\frac{21}{8}\left(-\frac{41}{9}+\frac{5}{7}\times 7\right)$$

7 va 7 ni qisqartiring.

$$\frac{7}{3}+\frac{21}{8}\left(-\frac{41}{9}+5\right)$$

5 ni \frac{45}{9} kasrga o‘giring.

$$\frac{7}{3}+\frac{21}{8}\left(-\frac{41}{9}+\frac{45}{9}\right)$$

-\frac{41}{9} va \frac{45}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7}{3}+\frac{21}{8}\times \frac{-41+45}{9}$$

4 olish uchun -41 va 45'ni qo'shing.

$$\frac{7}{3}+\frac{21}{8}\times \frac{4}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{21}{8} ni \frac{4}{9} ga ko‘paytiring.

$$\frac{7}{3}+\frac{21\times 4}{8\times 9}$$

\frac{21\times 4}{8\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{7}{3}+\frac{84}{72}$$

\frac{84}{72} ulushini 12 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{3}+\frac{7}{6}$$

3 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{7}{3} va \frac{7}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{14}{6}+\frac{7}{6}$$

\frac{14}{6} va \frac{7}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{14+7}{6}$$

21 olish uchun 14 va 7'ni qo'shing.

$$\frac{21}{6}$$

\frac{21}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{2}$$

Omil

$$\frac{7}{2} = 3\frac{1}{2} = 3,5$$