5/7*3/8+5/8*5/7quadfrac{3}{5}*6*5 eching

$$\frac { 5 } { 7 } \times \frac { 3 } { 8 } + \frac { 5 } { 8 } \times \frac { 5 } { 7 } \quad \frac { 3 } { 5 } \times 6 \times 5$$

Baholash

$$\frac{465}{56}\approx 8,303571429$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{7} ni \frac{3}{8} ga ko‘paytiring.

$$\frac{5\times 3}{7\times 8}+\frac{5}{8}\times \frac{5}{7}\times \frac{3}{5}\times 6\times 5$$

\frac{5\times 3}{7\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{15}{56}+\frac{5}{8}\times \frac{5}{7}\times \frac{3}{5}\times 6\times 5$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{8} ni \frac{5}{7} ga ko‘paytiring.

$$\frac{15}{56}+\frac{5\times 5}{8\times 7}\times \frac{3}{5}\times 6\times 5$$

\frac{5\times 5}{8\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{15}{56}+\frac{25}{56}\times \frac{3}{5}\times 6\times 5$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{25}{56} ni \frac{3}{5} ga ko‘paytiring.

$$\frac{15}{56}+\frac{25\times 3}{56\times 5}\times 6\times 5$$

\frac{25\times 3}{56\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{15}{56}+\frac{75}{280}\times 6\times 5$$

\frac{75}{280} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{15}{56}+\frac{15}{56}\times 6\times 5$$

\frac{15}{56}\times 6 ni yagona kasrga aylantiring.

$$\frac{15}{56}+\frac{15\times 6}{56}\times 5$$

90 hosil qilish uchun 15 va 6 ni ko'paytirish.

$$\frac{15}{56}+\frac{90}{56}\times 5$$

\frac{90}{56} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{15}{56}+\frac{45}{28}\times 5$$

\frac{45}{28}\times 5 ni yagona kasrga aylantiring.

$$\frac{15}{56}+\frac{45\times 5}{28}$$

225 hosil qilish uchun 45 va 5 ni ko'paytirish.

$$\frac{15}{56}+\frac{225}{28}$$

56 va 28 ning eng kichik umumiy karralisi 56 ga teng. \frac{15}{56} va \frac{225}{28} ni 56 maxraj bilan kasrlarga aylantirib oling.

$$\frac{15}{56}+\frac{450}{56}$$

\frac{15}{56} va \frac{450}{56} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{15+450}{56}$$

465 olish uchun 15 va 450'ni qo'shing.

$$\frac{465}{56}$$

Omil

$$\frac{3 \cdot 5 \cdot 31}{2 ^ {3} \cdot 7} = 8\frac{17}{56} = 8,303571428571429$$