(3/8div4+41/5div7)*8 eching

$$( \frac { 3 } { 8 } \div 4 + 4 \frac { 1 } { 5 } \div 7 ) \times 8$$

Baholash

$$\frac{111}{20}=5,55$$

Yechim qadamlari

\frac{\frac{3}{8}}{4} ni yagona kasrga aylantiring.

$$\left(\frac{3}{8\times 4}+\frac{\frac{4\times 5+1}{5}}{7}\right)\times 8$$

32 hosil qilish uchun 8 va 4 ni ko'paytirish.

$$\left(\frac{3}{32}+\frac{\frac{4\times 5+1}{5}}{7}\right)\times 8$$

\frac{\frac{4\times 5+1}{5}}{7} ni yagona kasrga aylantiring.

$$\left(\frac{3}{32}+\frac{4\times 5+1}{5\times 7}\right)\times 8$$

20 hosil qilish uchun 4 va 5 ni ko'paytirish.

$$\left(\frac{3}{32}+\frac{20+1}{5\times 7}\right)\times 8$$

21 olish uchun 20 va 1'ni qo'shing.

$$\left(\frac{3}{32}+\frac{21}{5\times 7}\right)\times 8$$

35 hosil qilish uchun 5 va 7 ni ko'paytirish.

$$\left(\frac{3}{32}+\frac{21}{35}\right)\times 8$$

\frac{21}{35} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(\frac{3}{32}+\frac{3}{5}\right)\times 8$$

32 va 5 ning eng kichik umumiy karralisi 160 ga teng. \frac{3}{32} va \frac{3}{5} ni 160 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{15}{160}+\frac{96}{160}\right)\times 8$$

\frac{15}{160} va \frac{96}{160} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{15+96}{160}\times 8$$

111 olish uchun 15 va 96'ni qo'shing.

$$\frac{111}{160}\times 8$$

\frac{111}{160}\times 8 ni yagona kasrga aylantiring.

$$\frac{111\times 8}{160}$$

888 hosil qilish uchun 111 va 8 ni ko'paytirish.

$$\frac{888}{160}$$

\frac{888}{160} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{111}{20}$$

Omil

$$\frac{3 \cdot 37}{2 ^ {2} \cdot 5} = 5\frac{11}{20} = 5,55$$