(21/2+32/3)(43/4+4) eching

$$( 2 \frac { 1 } { 2 } + 3 \frac { 2 } { 3 } ) ( 4 \frac { 3 } { 4 } + 4 )$$

Baholash

$$\frac{1295}{24}\approx 53,958333333$$

Yechim qadamlari

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

$$\left(\frac{4+1}{2}+\frac{3\times 3+2}{3}\right)\left(\frac{4\times 4+3}{4}+4\right)$$

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

$$\left(\frac{5}{2}+\frac{3\times 3+2}{3}\right)\left(\frac{4\times 4+3}{4}+4\right)$$

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

$$\left(\frac{5}{2}+\frac{9+2}{3}\right)\left(\frac{4\times 4+3}{4}+4\right)$$

11 olish uchun 9 va 2'ni qo'shing.

$$\left(\frac{5}{2}+\frac{11}{3}\right)\left(\frac{4\times 4+3}{4}+4\right)$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{2} va \frac{11}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{15}{6}+\frac{22}{6}\right)\left(\frac{4\times 4+3}{4}+4\right)$$

\frac{15}{6} va \frac{22}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{15+22}{6}\left(\frac{4\times 4+3}{4}+4\right)$$

37 olish uchun 15 va 22'ni qo'shing.

$$\frac{37}{6}\left(\frac{4\times 4+3}{4}+4\right)$$

16 hosil qilish uchun 4 va 4 ni ko'paytirish.

$$\frac{37}{6}\left(\frac{16+3}{4}+4\right)$$

19 olish uchun 16 va 3'ni qo'shing.

$$\frac{37}{6}\left(\frac{19}{4}+4\right)$$

4 ni \frac{16}{4} kasrga o‘giring.

$$\frac{37}{6}\left(\frac{19}{4}+\frac{16}{4}\right)$$

\frac{19}{4} va \frac{16}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{37}{6}\times \frac{19+16}{4}$$

35 olish uchun 19 va 16'ni qo'shing.

$$\frac{37}{6}\times \frac{35}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{37}{6} ni \frac{35}{4} ga ko‘paytiring.

$$\frac{37\times 35}{6\times 4}$$

\frac{37\times 35}{6\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1295}{24}$$

Omil

$$\frac{5 \cdot 7 \cdot 37}{2 ^ {3} \cdot 3} = 53\frac{23}{24} = 53,958333333333336$$