11/3*41/2+52/3-21/4 eching

$$1 \frac { 1 } { 3 } \cdot 4 \frac { 1 } { 2 } + 5 \frac { 2 } { 3 } - 2 \frac { 1 } { 4 }$$

Baholash

$$\frac{113}{12}\approx 9,416666667$$

Yechim qadamlari

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$\frac{3+1}{3}\times \frac{4\times 2+1}{2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

4 olish uchun 3 va 1'ni qo'shing.

$$\frac{4}{3}\times \frac{4\times 2+1}{2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\frac{4}{3}\times \frac{8+1}{2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{4}{3}\times \frac{9}{2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni \frac{9}{2} ga ko‘paytiring.

$$\frac{4\times 9}{3\times 2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

\frac{4\times 9}{3\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{36}{6}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

6 ni olish uchun 36 ni 6 ga bo‘ling.

$$6+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

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

$$6+\frac{15+2}{3}-\frac{2\times 4+1}{4}$$

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

$$6+\frac{17}{3}-\frac{2\times 4+1}{4}$$

6 ni \frac{18}{3} kasrga o‘giring.

$$\frac{18}{3}+\frac{17}{3}-\frac{2\times 4+1}{4}$$

\frac{18}{3} va \frac{17}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{18+17}{3}-\frac{2\times 4+1}{4}$$

35 olish uchun 18 va 17'ni qo'shing.

$$\frac{35}{3}-\frac{2\times 4+1}{4}$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{35}{3}-\frac{8+1}{4}$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{35}{3}-\frac{9}{4}$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{35}{3} va \frac{9}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{140}{12}-\frac{27}{12}$$

\frac{140}{12} va \frac{27}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{140-27}{12}$$

113 olish uchun 140 dan 27 ni ayirish.

$$\frac{113}{12}$$

Omil

$$\frac{113}{2 ^ {2} \cdot 3} = 9\frac{5}{12} = 9,416666666666666$$