21/3+(33/5div11/8) eching

$$2 \frac { 1 } { 3 } + ( 3 \frac { 3 } { 5 } \div 1 \frac { 1 } { 8 } )$$

Baholash

$$\frac{83}{15}\approx 5,533333333$$

Yechim qadamlari

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

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

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

$$\frac{7}{3}+\frac{\frac{3\times 5+3}{5}}{\frac{1\times 8+1}{8}}$$

\frac{3\times 5+3}{5} ni \frac{1\times 8+1}{8} ga bo'lish \frac{3\times 5+3}{5} ga k'paytirish \frac{1\times 8+1}{8} ga qaytarish.

$$\frac{7}{3}+\frac{\left(3\times 5+3\right)\times 8}{5\left(1\times 8+1\right)}$$

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

$$\frac{7}{3}+\frac{\left(15+3\right)\times 8}{5\left(1\times 8+1\right)}$$

18 olish uchun 15 va 3'ni qo'shing.

$$\frac{7}{3}+\frac{18\times 8}{5\left(1\times 8+1\right)}$$

144 hosil qilish uchun 18 va 8 ni ko'paytirish.

$$\frac{7}{3}+\frac{144}{5\left(1\times 8+1\right)}$$

8 hosil qilish uchun 1 va 8 ni ko'paytirish.

$$\frac{7}{3}+\frac{144}{5\left(8+1\right)}$$

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

$$\frac{7}{3}+\frac{144}{5\times 9}$$

45 hosil qilish uchun 5 va 9 ni ko'paytirish.

$$\frac{7}{3}+\frac{144}{45}$$

\frac{144}{45} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{3}+\frac{16}{5}$$

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{7}{3} va \frac{16}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{35}{15}+\frac{48}{15}$$

\frac{35}{15} va \frac{48}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{35+48}{15}$$

83 olish uchun 35 va 48'ni qo'shing.

$$\frac{83}{15}$$

Omil

$$\frac{83}{3 \cdot 5} = 5\frac{8}{15} = 5,533333333333333$$