-47/14+7/4+11/4/frac{4{3}} eching

$$\frac{ \frac{ -47 }{ 14 } + \frac{ 7 }{ 4 } + \frac{ 11 }{ 4 } }{ \frac{ 4 }{ 3 } }$$

Baholash

$$\frac{6}{7}\approx 0,857142857$$

Yechim qadamlari

\frac{-47}{14} kasri manfiy belgini olib tashlash bilan -\frac{47}{14} sifatida qayta yozilishi mumkin.

$$\frac{-\frac{47}{14}+\frac{7}{4}+\frac{11}{4}}{\frac{4}{3}}$$

14 va 4 ning eng kichik umumiy karralisi 28 ga teng. -\frac{47}{14} va \frac{7}{4} ni 28 maxraj bilan kasrlarga aylantirib oling.

$$\frac{-\frac{94}{28}+\frac{49}{28}+\frac{11}{4}}{\frac{4}{3}}$$

-\frac{94}{28} va \frac{49}{28} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{-94+49}{28}+\frac{11}{4}}{\frac{4}{3}}$$

-45 olish uchun -94 va 49'ni qo'shing.

$$\frac{-\frac{45}{28}+\frac{11}{4}}{\frac{4}{3}}$$

28 va 4 ning eng kichik umumiy karralisi 28 ga teng. -\frac{45}{28} va \frac{11}{4} ni 28 maxraj bilan kasrlarga aylantirib oling.

$$\frac{-\frac{45}{28}+\frac{77}{28}}{\frac{4}{3}}$$

-\frac{45}{28} va \frac{77}{28} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{-45+77}{28}}{\frac{4}{3}}$$

32 olish uchun -45 va 77'ni qo'shing.

$$\frac{\frac{32}{28}}{\frac{4}{3}}$$

\frac{32}{28} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{8}{7}}{\frac{4}{3}}$$

\frac{8}{7} ni \frac{4}{3} ga bo'lish \frac{8}{7} ga k'paytirish \frac{4}{3} ga qaytarish.

$$\frac{8}{7}\times \frac{3}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{7} ni \frac{3}{4} ga ko‘paytiring.

$$\frac{8\times 3}{7\times 4}$$

\frac{8\times 3}{7\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{24}{28}$$

\frac{24}{28} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{6}{7}$$

Omil

$$\frac{2 \cdot 3}{7} = 0,8571428571428571$$