4/55/13-045/13+3/5div16 eching

$$\frac{ 4 }{ 5 } \frac{ 5 }{ 13 } -04 \frac{ 5 }{ 13 } + \frac{ 3 }{ 5 } \div 16$$

Baholash

$$\frac{359}{1040}\approx 0,345192308$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni \frac{5}{13} ga ko‘paytiring.

$$\frac{4\times 5}{5\times 13}-0\times \frac{4\times 13+5}{13}+\frac{\frac{3}{5}}{16}$$

Surat va maxrajdagi ikkala 5 ni qisqartiring.

$$\frac{4}{13}-0\times \frac{4\times 13+5}{13}+\frac{\frac{3}{5}}{16}$$

52 hosil qilish uchun 4 va 13 ni ko'paytirish.

$$\frac{4}{13}-0\times \frac{52+5}{13}+\frac{\frac{3}{5}}{16}$$

57 olish uchun 52 va 5'ni qo'shing.

$$\frac{4}{13}-0\times \frac{57}{13}+\frac{\frac{3}{5}}{16}$$

0 hosil qilish uchun 0 va \frac{57}{13} ni ko'paytirish.

$$\frac{4}{13}-0+\frac{\frac{3}{5}}{16}$$

\frac{4}{13} olish uchun \frac{4}{13} dan 0 ni ayirish.

$$\frac{4}{13}+\frac{\frac{3}{5}}{16}$$

\frac{\frac{3}{5}}{16} ni yagona kasrga aylantiring.

$$\frac{4}{13}+\frac{3}{5\times 16}$$

80 hosil qilish uchun 5 va 16 ni ko'paytirish.

$$\frac{4}{13}+\frac{3}{80}$$

13 va 80 ning eng kichik umumiy karralisi 1040 ga teng. \frac{4}{13} va \frac{3}{80} ni 1040 maxraj bilan kasrlarga aylantirib oling.

$$\frac{320}{1040}+\frac{39}{1040}$$

\frac{320}{1040} va \frac{39}{1040} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{320+39}{1040}$$

359 olish uchun 320 va 39'ni qo'shing.

$$\frac{359}{1040}$$

Omil

$$\frac{359}{2 ^ {4} \cdot 5 \cdot 13} = 0,3451923076923077$$