2/5+3/10/frac{6{7}-1/14}= eching

$$\frac { \frac { 2 } { 5 } + \frac { 3 } { 10 } } { \frac { 6 } { 7 } - \frac { 1 } { 14 } } =$$

Baholash

$$\frac{49}{55}\approx 0,890909091$$

Yechim qadamlari

5 va 10 ning eng kichik umumiy karralisi 10 ga teng. \frac{2}{5} va \frac{3}{10} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{4}{10}+\frac{3}{10}}{\frac{6}{7}-\frac{1}{14}}$$

\frac{4}{10} va \frac{3}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{4+3}{10}}{\frac{6}{7}-\frac{1}{14}}$$

7 olish uchun 4 va 3'ni qo'shing.

$$\frac{\frac{7}{10}}{\frac{6}{7}-\frac{1}{14}}$$

7 va 14 ning eng kichik umumiy karralisi 14 ga teng. \frac{6}{7} va \frac{1}{14} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{7}{10}}{\frac{12}{14}-\frac{1}{14}}$$

\frac{12}{14} va \frac{1}{14} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{7}{10}}{\frac{12-1}{14}}$$

11 olish uchun 12 dan 1 ni ayirish.

$$\frac{\frac{7}{10}}{\frac{11}{14}}$$

\frac{7}{10} ni \frac{11}{14} ga bo'lish \frac{7}{10} ga k'paytirish \frac{11}{14} ga qaytarish.

$$\frac{7}{10}\times \frac{14}{11}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{10} ni \frac{14}{11} ga ko‘paytiring.

$$\frac{7\times 14}{10\times 11}$$

\frac{7\times 14}{10\times 11} kasridagi ko‘paytirishlarni bajaring.

$$\frac{98}{110}$$

\frac{98}{110} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{49}{55}$$

Omil

$$\frac{7 ^ {2}}{5 \cdot 11} = 0,8909090909090909$$