32/5+22/35div111/25-3/7 eching

$$3 \frac { 2 } { 5 } + 2 \frac { 2 } { 35 } \div 1 \frac { 11 } { 25 } - \frac { 3 } { 7 }$$

Baholash

$$\frac{22}{5}=4,4$$

Yechim qadamlari

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{15+2}{5}+\frac{\frac{2\times 35+2}{35}}{\frac{1\times 25+11}{25}}-\frac{3}{7}$$

17 olish uchun 15 va 2'ni qo'shing.

$$\frac{17}{5}+\frac{\frac{2\times 35+2}{35}}{\frac{1\times 25+11}{25}}-\frac{3}{7}$$

\frac{2\times 35+2}{35} ni \frac{1\times 25+11}{25} ga bo'lish \frac{2\times 35+2}{35} ga k'paytirish \frac{1\times 25+11}{25} ga qaytarish.

$$\frac{17}{5}+\frac{\left(2\times 35+2\right)\times 25}{35\left(1\times 25+11\right)}-\frac{3}{7}$$

Surat va maxrajdagi ikkala 5 ni qisqartiring.

$$\frac{17}{5}+\frac{5\left(2+2\times 35\right)}{7\left(11+25\right)}-\frac{3}{7}$$

70 hosil qilish uchun 2 va 35 ni ko'paytirish.

$$\frac{17}{5}+\frac{5\left(2+70\right)}{7\left(11+25\right)}-\frac{3}{7}$$

72 olish uchun 2 va 70'ni qo'shing.

$$\frac{17}{5}+\frac{5\times 72}{7\left(11+25\right)}-\frac{3}{7}$$

360 hosil qilish uchun 5 va 72 ni ko'paytirish.

$$\frac{17}{5}+\frac{360}{7\left(11+25\right)}-\frac{3}{7}$$

36 olish uchun 11 va 25'ni qo'shing.

$$\frac{17}{5}+\frac{360}{7\times 36}-\frac{3}{7}$$

252 hosil qilish uchun 7 va 36 ni ko'paytirish.

$$\frac{17}{5}+\frac{360}{252}-\frac{3}{7}$$

\frac{360}{252} ulushini 36 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{17}{5}+\frac{10}{7}-\frac{3}{7}$$

5 va 7 ning eng kichik umumiy karralisi 35 ga teng. \frac{17}{5} va \frac{10}{7} ni 35 maxraj bilan kasrlarga aylantirib oling.

$$\frac{119}{35}+\frac{50}{35}-\frac{3}{7}$$

\frac{119}{35} va \frac{50}{35} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{119+50}{35}-\frac{3}{7}$$

169 olish uchun 119 va 50'ni qo'shing.

$$\frac{169}{35}-\frac{3}{7}$$

35 va 7 ning eng kichik umumiy karralisi 35 ga teng. \frac{169}{35} va \frac{3}{7} ni 35 maxraj bilan kasrlarga aylantirib oling.

$$\frac{169}{35}-\frac{15}{35}$$

\frac{169}{35} va \frac{15}{35} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{169-15}{35}$$

154 olish uchun 169 dan 15 ni ayirish.

$$\frac{154}{35}$$

\frac{154}{35} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{22}{5}$$

Omil

$$\frac{2 \cdot 11}{5} = 4\frac{2}{5} = 4,4$$