72/3+(6-24/7):22/5-4.5= eching

$$7 \frac { 2 } { 3 } + ( 6 - 2 \frac { 4 } { 7 } ) : 2 \frac { 2 } { 5 } - 4.5 =$$

Baholash

$$\frac{193}{42}\approx 4,595238095$$

Yechim qadamlari

21 hosil qilish uchun 7 va 3 ni ko'paytirish.

$$\frac{21+2}{3}+\frac{6-\frac{2\times 7+4}{7}}{\frac{2\times 5+2}{5}}-4,5$$

23 olish uchun 21 va 2'ni qo'shing.

$$\frac{23}{3}+\frac{6-\frac{2\times 7+4}{7}}{\frac{2\times 5+2}{5}}-4,5$$

14 hosil qilish uchun 2 va 7 ni ko'paytirish.

$$\frac{23}{3}+\frac{6-\frac{14+4}{7}}{\frac{2\times 5+2}{5}}-4,5$$

18 olish uchun 14 va 4'ni qo'shing.

$$\frac{23}{3}+\frac{6-\frac{18}{7}}{\frac{2\times 5+2}{5}}-4,5$$

6 ni \frac{42}{7} kasrga o‘giring.

$$\frac{23}{3}+\frac{\frac{42}{7}-\frac{18}{7}}{\frac{2\times 5+2}{5}}-4,5$$

\frac{42}{7} va \frac{18}{7} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{23}{3}+\frac{\frac{42-18}{7}}{\frac{2\times 5+2}{5}}-4,5$$

24 olish uchun 42 dan 18 ni ayirish.

$$\frac{23}{3}+\frac{\frac{24}{7}}{\frac{2\times 5+2}{5}}-4,5$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{23}{3}+\frac{\frac{24}{7}}{\frac{10+2}{5}}-4,5$$

12 olish uchun 10 va 2'ni qo'shing.

$$\frac{23}{3}+\frac{\frac{24}{7}}{\frac{12}{5}}-4,5$$

\frac{24}{7} ni \frac{12}{5} ga bo'lish \frac{24}{7} ga k'paytirish \frac{12}{5} ga qaytarish.

$$\frac{23}{3}+\frac{24}{7}\times \frac{5}{12}-4,5$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{24}{7} ni \frac{5}{12} ga ko‘paytiring.

$$\frac{23}{3}+\frac{24\times 5}{7\times 12}-4,5$$

\frac{24\times 5}{7\times 12} kasridagi ko‘paytirishlarni bajaring.

$$\frac{23}{3}+\frac{120}{84}-4,5$$

\frac{120}{84} ulushini 12 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{23}{3}+\frac{10}{7}-4,5$$

3 va 7 ning eng kichik umumiy karralisi 21 ga teng. \frac{23}{3} va \frac{10}{7} ni 21 maxraj bilan kasrlarga aylantirib oling.

$$\frac{161}{21}+\frac{30}{21}-4,5$$

\frac{161}{21} va \frac{30}{21} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{161+30}{21}-4,5$$

191 olish uchun 161 va 30'ni qo'shing.

$$\frac{191}{21}-4,5$$

4,5 o‘nlik raqamni uning \frac{45}{10} kasrga o‘giring. \frac{45}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{191}{21}-\frac{9}{2}$$

21 va 2 ning eng kichik umumiy karralisi 42 ga teng. \frac{191}{21} va \frac{9}{2} ni 42 maxraj bilan kasrlarga aylantirib oling.

$$\frac{382}{42}-\frac{189}{42}$$

\frac{382}{42} va \frac{189}{42} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{382-189}{42}$$

193 olish uchun 382 dan 189 ni ayirish.

$$\frac{193}{42}$$

Omil

$$\frac{193}{2 \cdot 3 \cdot 7} = 4\frac{25}{42} = 4,595238095238095$$