(15-(20*85div285*15div20))*25*6/85 eching

$$(15-(20 \times 85 \div 285 \times 15 \div 20)) \times \frac{ 25 \times 6 }{ 85 }$$

Baholash

$$\frac{6000}{323}\approx 18,575851393$$

Yechim qadamlari

1700 hosil qilish uchun 20 va 85 ni ko'paytirish.

$$\left(15-\frac{\frac{1700}{285}\times 15}{20}\right)\times \frac{25\times 6}{85}$$

\frac{1700}{285} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(15-\frac{\frac{340}{57}\times 15}{20}\right)\times \frac{25\times 6}{85}$$

\frac{340}{57}\times 15 ni yagona kasrga aylantiring.

$$\left(15-\frac{\frac{340\times 15}{57}}{20}\right)\times \frac{25\times 6}{85}$$

5100 hosil qilish uchun 340 va 15 ni ko'paytirish.

$$\left(15-\frac{\frac{5100}{57}}{20}\right)\times \frac{25\times 6}{85}$$

\frac{5100}{57} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(15-\frac{\frac{1700}{19}}{20}\right)\times \frac{25\times 6}{85}$$

\frac{\frac{1700}{19}}{20} ni yagona kasrga aylantiring.

$$\left(15-\frac{1700}{19\times 20}\right)\times \frac{25\times 6}{85}$$

380 hosil qilish uchun 19 va 20 ni ko'paytirish.

$$\left(15-\frac{1700}{380}\right)\times \frac{25\times 6}{85}$$

\frac{1700}{380} ulushini 20 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(15-\frac{85}{19}\right)\times \frac{25\times 6}{85}$$

15 ni \frac{285}{19} kasrga o‘giring.

$$\left(\frac{285}{19}-\frac{85}{19}\right)\times \frac{25\times 6}{85}$$

\frac{285}{19} va \frac{85}{19} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{285-85}{19}\times \frac{25\times 6}{85}$$

200 olish uchun 285 dan 85 ni ayirish.

$$\frac{200}{19}\times \frac{25\times 6}{85}$$

150 hosil qilish uchun 25 va 6 ni ko'paytirish.

$$\frac{200}{19}\times \frac{150}{85}$$

\frac{150}{85} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{200}{19}\times \frac{30}{17}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{200}{19} ni \frac{30}{17} ga ko‘paytiring.

$$\frac{200\times 30}{19\times 17}$$

\frac{200\times 30}{19\times 17} kasridagi ko‘paytirishlarni bajaring.

$$\frac{6000}{323}$$

Omil

$$\frac{2 ^ {4} \cdot 3 \cdot 5 ^ {3}}{17 \cdot 19} = 18\frac{186}{323} = 18,575851393188856$$