8/9+12/11+16/13/frac{2{9}+frac{3}{11}+frac{4}{13}} eching

$$\frac{ \frac{ 8 }{ 9 } + \frac{ 12 }{ 11 } + \frac{ 16 }{ 13 } }{ \frac{ 2 }{ 9 } + \frac{ 3 }{ 11 } + \frac{ 4 }{ 13 } }$$

Baholash

$$4$$

Yechim qadamlari

9 va 11 ning eng kichik umumiy karralisi 99 ga teng. \frac{8}{9} va \frac{12}{11} ni 99 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{88}{99}+\frac{108}{99}+\frac{16}{13}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

\frac{88}{99} va \frac{108}{99} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{88+108}{99}+\frac{16}{13}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

196 olish uchun 88 va 108'ni qo'shing.

$$\frac{\frac{196}{99}+\frac{16}{13}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

99 va 13 ning eng kichik umumiy karralisi 1287 ga teng. \frac{196}{99} va \frac{16}{13} ni 1287 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{2548}{1287}+\frac{1584}{1287}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

\frac{2548}{1287} va \frac{1584}{1287} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{2548+1584}{1287}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

4132 olish uchun 2548 va 1584'ni qo'shing.

$$\frac{\frac{4132}{1287}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

9 va 11 ning eng kichik umumiy karralisi 99 ga teng. \frac{2}{9} va \frac{3}{11} ni 99 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{4132}{1287}}{\frac{22}{99}+\frac{27}{99}+\frac{4}{13}}$$

\frac{22}{99} va \frac{27}{99} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{4132}{1287}}{\frac{22+27}{99}+\frac{4}{13}}$$

49 olish uchun 22 va 27'ni qo'shing.

$$\frac{\frac{4132}{1287}}{\frac{49}{99}+\frac{4}{13}}$$

99 va 13 ning eng kichik umumiy karralisi 1287 ga teng. \frac{49}{99} va \frac{4}{13} ni 1287 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{4132}{1287}}{\frac{637}{1287}+\frac{396}{1287}}$$

\frac{637}{1287} va \frac{396}{1287} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{4132}{1287}}{\frac{637+396}{1287}}$$

1033 olish uchun 637 va 396'ni qo'shing.

$$\frac{\frac{4132}{1287}}{\frac{1033}{1287}}$$

\frac{4132}{1287} ni \frac{1033}{1287} ga bo'lish \frac{4132}{1287} ga k'paytirish \frac{1033}{1287} ga qaytarish.

$$\frac{4132}{1287}\times \frac{1287}{1033}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4132}{1287} ni \frac{1287}{1033} ga ko‘paytiring.

$$\frac{4132\times 1287}{1287\times 1033}$$

Surat va maxrajdagi ikkala 1287 ni qisqartiring.

$$\frac{4132}{1033}$$

4 ni olish uchun 4132 ni 1033 ga bo‘ling.

$$4$$

Omil

$$2^{2}$$