=[15/7-8/49div35]*28/3 eching

$$= [ \frac { 15 } { 7 } - \frac { 8 } { 49 } \div 35 ] \times \frac { 28 } { 3 }$$

Baholash

$$\frac{14668}{735}\approx 19,956462585$$

Yechim qadamlari

\frac{\frac{8}{49}}{35} ni yagona kasrga aylantiring.

$$\left(\frac{15}{7}-\frac{8}{49\times 35}\right)\times \frac{28}{3}$$

1715 hosil qilish uchun 49 va 35 ni ko'paytirish.

$$\left(\frac{15}{7}-\frac{8}{1715}\right)\times \frac{28}{3}$$

7 va 1715 ning eng kichik umumiy karralisi 1715 ga teng. \frac{15}{7} va \frac{8}{1715} ni 1715 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{3675}{1715}-\frac{8}{1715}\right)\times \frac{28}{3}$$

\frac{3675}{1715} va \frac{8}{1715} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3675-8}{1715}\times \frac{28}{3}$$

3667 olish uchun 3675 dan 8 ni ayirish.

$$\frac{3667}{1715}\times \frac{28}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3667}{1715} ni \frac{28}{3} ga ko‘paytiring.

$$\frac{3667\times 28}{1715\times 3}$$

\frac{3667\times 28}{1715\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{102676}{5145}$$

\frac{102676}{5145} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{14668}{735}$$

Omil

$$\frac{2 ^ {2} \cdot 19 \cdot 193}{3 \cdot 5 \cdot 7 ^ {2}} = 19\frac{703}{735} = 19,956462585034014$$