(21/7)(5)/frac{3{7}+2/6+1/11}= eching

$$\frac { ( 2 \frac { 1 } { 7 } ) ( 5 ) } { \frac { 3 } { 7 } + \frac { 2 } { 6 } + \frac { 1 } { 11 } } =$$

Baholash

$$\frac{2475}{197}\approx 12,563451777$$

Yechim qadamlari

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

$$\frac{\frac{14+1}{7}\times 5}{\frac{3}{7}+\frac{2}{6}+\frac{1}{11}}$$

15 olish uchun 14 va 1'ni qo'shing.

$$\frac{\frac{15}{7}\times 5}{\frac{3}{7}+\frac{2}{6}+\frac{1}{11}}$$

\frac{15}{7}\times 5 ni yagona kasrga aylantiring.

$$\frac{\frac{15\times 5}{7}}{\frac{3}{7}+\frac{2}{6}+\frac{1}{11}}$$

75 hosil qilish uchun 15 va 5 ni ko'paytirish.

$$\frac{\frac{75}{7}}{\frac{3}{7}+\frac{2}{6}+\frac{1}{11}}$$

\frac{2}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{75}{7}}{\frac{3}{7}+\frac{1}{3}+\frac{1}{11}}$$

7 va 3 ning eng kichik umumiy karralisi 21 ga teng. \frac{3}{7} va \frac{1}{3} ni 21 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{75}{7}}{\frac{9}{21}+\frac{7}{21}+\frac{1}{11}}$$

\frac{9}{21} va \frac{7}{21} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{75}{7}}{\frac{9+7}{21}+\frac{1}{11}}$$

16 olish uchun 9 va 7'ni qo'shing.

$$\frac{\frac{75}{7}}{\frac{16}{21}+\frac{1}{11}}$$

21 va 11 ning eng kichik umumiy karralisi 231 ga teng. \frac{16}{21} va \frac{1}{11} ni 231 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{75}{7}}{\frac{176}{231}+\frac{21}{231}}$$

\frac{176}{231} va \frac{21}{231} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{75}{7}}{\frac{176+21}{231}}$$

197 olish uchun 176 va 21'ni qo'shing.

$$\frac{\frac{75}{7}}{\frac{197}{231}}$$

\frac{75}{7} ni \frac{197}{231} ga bo'lish \frac{75}{7} ga k'paytirish \frac{197}{231} ga qaytarish.

$$\frac{75}{7}\times \frac{231}{197}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{75}{7} ni \frac{231}{197} ga ko‘paytiring.

$$\frac{75\times 231}{7\times 197}$$

\frac{75\times 231}{7\times 197} kasridagi ko‘paytirishlarni bajaring.

$$\frac{17325}{1379}$$

\frac{17325}{1379} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2475}{197}$$

Omil

$$\frac{3 ^ {2} \cdot 5 ^ {2} \cdot 11}{197} = 12\frac{111}{197} = 12,563451776649746$$