21/5*10/22+3/4:21/4= eching

$$2 \frac { 1 } { 5 } \cdot \frac { 10 } { 22 } + \frac { 3 } { 4 } : 2 \frac { 1 } { 4 } =$$

Baholash

$$\frac{4}{3}\approx 1,333333333$$

Yechim qadamlari

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

$$\frac{10+1}{5}\times \frac{10}{22}+\frac{\frac{3}{4}}{\frac{2\times 4+1}{4}}$$

11 olish uchun 10 va 1'ni qo'shing.

$$\frac{11}{5}\times \frac{10}{22}+\frac{\frac{3}{4}}{\frac{2\times 4+1}{4}}$$

\frac{10}{22} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{11}{5}\times \frac{5}{11}+\frac{\frac{3}{4}}{\frac{2\times 4+1}{4}}$$

\frac{11}{5} va uning teskari kasrini \frac{5}{11} ni qisqartiring.

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

\frac{3}{4} ni \frac{2\times 4+1}{4} ga bo'lish \frac{3}{4} ga k'paytirish \frac{2\times 4+1}{4} ga qaytarish.

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

Surat va maxrajdagi ikkala 4 ni qisqartiring.

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

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

$$1+\frac{3}{1+8}$$

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

$$1+\frac{3}{9}$$

\frac{3}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$1+\frac{1}{3}$$

1 ni \frac{3}{3} kasrga o‘giring.

$$\frac{3}{3}+\frac{1}{3}$$

\frac{3}{3} va \frac{1}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+1}{3}$$

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

$$\frac{4}{3}$$

Omil

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1,3333333333333333$$