(1213/25+78/17)25+(99/17+1012/25)2frac{1}{2} eching

$$(12 \frac{ 13 }{ 25 } +7 \frac{ 8 }{ 17 } )25+(9 \frac{ 9 }{ 17 } +10 \frac{ 12 }{ 25 } )2 \frac{ 1 }{ 2 }$$

Baholash

$$\frac{46732}{85}\approx 549,788235294$$

Yechim qadamlari

300 hosil qilish uchun 12 va 25 ni ko'paytirish.

$$\left(\frac{300+13}{25}+\frac{7\times 17+8}{17}\right)\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

313 olish uchun 300 va 13'ni qo'shing.

$$\left(\frac{313}{25}+\frac{7\times 17+8}{17}\right)\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

119 hosil qilish uchun 7 va 17 ni ko'paytirish.

$$\left(\frac{313}{25}+\frac{119+8}{17}\right)\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

127 olish uchun 119 va 8'ni qo'shing.

$$\left(\frac{313}{25}+\frac{127}{17}\right)\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

25 va 17 ning eng kichik umumiy karralisi 425 ga teng. \frac{313}{25} va \frac{127}{17} ni 425 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{5321}{425}+\frac{3175}{425}\right)\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

\frac{5321}{425} va \frac{3175}{425} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5321+3175}{425}\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

8496 olish uchun 5321 va 3175'ni qo'shing.

$$\frac{8496}{425}\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

\frac{8496}{425}\times 25 ni yagona kasrga aylantiring.

$$\frac{8496\times 25}{425}+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

212400 hosil qilish uchun 8496 va 25 ni ko'paytirish.

$$\frac{212400}{425}+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

\frac{212400}{425} ulushini 25 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{8496}{17}+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

153 hosil qilish uchun 9 va 17 ni ko'paytirish.

$$\frac{8496}{17}+\left(\frac{153+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

162 olish uchun 153 va 9'ni qo'shing.

$$\frac{8496}{17}+\left(\frac{162}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

250 hosil qilish uchun 10 va 25 ni ko'paytirish.

$$\frac{8496}{17}+\left(\frac{162}{17}+\frac{250+12}{25}\right)\times \frac{2\times 2+1}{2}$$

262 olish uchun 250 va 12'ni qo'shing.

$$\frac{8496}{17}+\left(\frac{162}{17}+\frac{262}{25}\right)\times \frac{2\times 2+1}{2}$$

17 va 25 ning eng kichik umumiy karralisi 425 ga teng. \frac{162}{17} va \frac{262}{25} ni 425 maxraj bilan kasrlarga aylantirib oling.

$$\frac{8496}{17}+\left(\frac{4050}{425}+\frac{4454}{425}\right)\times \frac{2\times 2+1}{2}$$

\frac{4050}{425} va \frac{4454}{425} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{8496}{17}+\frac{4050+4454}{425}\times \frac{2\times 2+1}{2}$$

8504 olish uchun 4050 va 4454'ni qo'shing.

$$\frac{8496}{17}+\frac{8504}{425}\times \frac{2\times 2+1}{2}$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$\frac{8496}{17}+\frac{8504}{425}\times \frac{4+1}{2}$$

5 olish uchun 4 va 1'ni qo'shing.

$$\frac{8496}{17}+\frac{8504}{425}\times \frac{5}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8504}{425} ni \frac{5}{2} ga ko‘paytiring.

$$\frac{8496}{17}+\frac{8504\times 5}{425\times 2}$$

\frac{8504\times 5}{425\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{8496}{17}+\frac{42520}{850}$$

\frac{42520}{850} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{8496}{17}+\frac{4252}{85}$$

17 va 85 ning eng kichik umumiy karralisi 85 ga teng. \frac{8496}{17} va \frac{4252}{85} ni 85 maxraj bilan kasrlarga aylantirib oling.

$$\frac{42480}{85}+\frac{4252}{85}$$

\frac{42480}{85} va \frac{4252}{85} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{42480+4252}{85}$$

46732 olish uchun 42480 va 4252'ni qo'shing.

$$\frac{46732}{85}$$

Omil

$$\frac{2 ^ {2} \cdot 7 \cdot 1669}{5 \cdot 17} = 549\frac{67}{85} = 549,7882352941176$$