1.8-3.3-4.5:3.75/5.6:2frac{1{3}+2.5} eching

$$1.8 - \frac { 3.3 - 4.5 : 3.75 } { 5.6 : 2 \frac { 1 } { 3 } + 2.5 }$$

Baholash

$$\frac{48}{35}\approx 1,371428571$$

Yechim qadamlari

\frac{4,5}{3,75} kasrini uning surat va maxrajini 100 ga ko‘paytirish bilan kengaytiring.

$$1,8-\frac{3,3-\frac{450}{375}}{\frac{5,6}{\frac{2\times 3+1}{3}}+2,5}$$

\frac{450}{375} ulushini 75 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$1,8-\frac{3,3-\frac{6}{5}}{\frac{5,6}{\frac{2\times 3+1}{3}}+2,5}$$

3,3 o‘nlik raqamni uning \frac{33}{10} kasrga o‘giring.

$$1,8-\frac{\frac{33}{10}-\frac{6}{5}}{\frac{5,6}{\frac{2\times 3+1}{3}}+2,5}$$

10 va 5 ning eng kichik umumiy karralisi 10 ga teng. \frac{33}{10} va \frac{6}{5} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$1,8-\frac{\frac{33}{10}-\frac{12}{10}}{\frac{5,6}{\frac{2\times 3+1}{3}}+2,5}$$

\frac{33}{10} va \frac{12}{10} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$1,8-\frac{\frac{33-12}{10}}{\frac{5,6}{\frac{2\times 3+1}{3}}+2,5}$$

21 olish uchun 33 dan 12 ni ayirish.

$$1,8-\frac{\frac{21}{10}}{\frac{5,6}{\frac{2\times 3+1}{3}}+2,5}$$

5,6 ni \frac{2\times 3+1}{3} ga bo'lish 5,6 ga k'paytirish \frac{2\times 3+1}{3} ga qaytarish.

$$1,8-\frac{\frac{21}{10}}{\frac{5,6\times 3}{2\times 3+1}+2,5}$$

16,8 hosil qilish uchun 5,6 va 3 ni ko'paytirish.

$$1,8-\frac{\frac{21}{10}}{\frac{16,8}{2\times 3+1}+2,5}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$1,8-\frac{\frac{21}{10}}{\frac{16,8}{6+1}+2,5}$$

7 olish uchun 6 va 1'ni qo'shing.

$$1,8-\frac{\frac{21}{10}}{\frac{16,8}{7}+2,5}$$

\frac{16,8}{7} kasrini uning surat va maxrajini 10 ga ko‘paytirish bilan kengaytiring.

$$1,8-\frac{\frac{21}{10}}{\frac{168}{70}+2,5}$$

\frac{168}{70} ulushini 14 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$1,8-\frac{\frac{21}{10}}{\frac{12}{5}+2,5}$$

2,5 o‘nlik raqamni uning \frac{25}{10} kasrga o‘giring. \frac{25}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$1,8-\frac{\frac{21}{10}}{\frac{12}{5}+\frac{5}{2}}$$

5 va 2 ning eng kichik umumiy karralisi 10 ga teng. \frac{12}{5} va \frac{5}{2} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$1,8-\frac{\frac{21}{10}}{\frac{24}{10}+\frac{25}{10}}$$

\frac{24}{10} va \frac{25}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$1,8-\frac{\frac{21}{10}}{\frac{24+25}{10}}$$

49 olish uchun 24 va 25'ni qo'shing.

$$1,8-\frac{\frac{21}{10}}{\frac{49}{10}}$$

\frac{21}{10} ni \frac{49}{10} ga bo'lish \frac{21}{10} ga k'paytirish \frac{49}{10} ga qaytarish.

$$1,8-\frac{21}{10}\times \frac{10}{49}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{21}{10} ni \frac{10}{49} ga ko‘paytiring.

$$1,8-\frac{21\times 10}{10\times 49}$$

Surat va maxrajdagi ikkala 10 ni qisqartiring.

$$1,8-\frac{21}{49}$$

\frac{21}{49} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$1,8-\frac{3}{7}$$

1,8 o‘nlik raqamni uning \frac{18}{10} kasrga o‘giring. \frac{18}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{9}{5}-\frac{3}{7}$$

5 va 7 ning eng kichik umumiy karralisi 35 ga teng. \frac{9}{5} va \frac{3}{7} ni 35 maxraj bilan kasrlarga aylantirib oling.

$$\frac{63}{35}-\frac{15}{35}$$

\frac{63}{35} va \frac{15}{35} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{63-15}{35}$$

48 olish uchun 63 dan 15 ni ayirish.

$$\frac{48}{35}$$

Omil

$$\frac{3 \cdot 2 ^ {4}}{5 \cdot 7} = 1\frac{13}{35} = 1,3714285714285714$$