2/3/frac{1{6}}+1/4/frac{3{2}}-frac{frac{4}{5}}{frac{3}{10}} eching

$$\frac { \frac { 2 } { 3 } } { \frac { 1 } { 6 } } + \frac { \frac { 1 } { 4 } } { \frac { 3 } { 2 } } - \frac { \frac { 4 } { 5 } } { \frac { 3 } { 10 } }$$

Baholash

$$\frac{3}{2}=1,5$$

Yechim qadamlari

\frac{2}{3} ni \frac{1}{6} ga bo'lish \frac{2}{3} ga k'paytirish \frac{1}{6} ga qaytarish.

$$\frac{2}{3}\times 6+\frac{\frac{1}{4}}{\frac{3}{2}}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

\frac{2}{3}\times 6 ni yagona kasrga aylantiring.

$$\frac{2\times 6}{3}+\frac{\frac{1}{4}}{\frac{3}{2}}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

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

$$\frac{12}{3}+\frac{\frac{1}{4}}{\frac{3}{2}}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

4 ni olish uchun 12 ni 3 ga bo‘ling.

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

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

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{4} ni \frac{2}{3} ga ko‘paytiring.

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

\frac{1\times 2}{4\times 3} kasridagi ko‘paytirishlarni bajaring.

$$4+\frac{2}{12}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

\frac{2}{12} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$4+\frac{1}{6}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

4 ni \frac{24}{6} kasrga o‘giring.

$$\frac{24}{6}+\frac{1}{6}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

\frac{24}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{24+1}{6}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

25 olish uchun 24 va 1'ni qo'shing.

$$\frac{25}{6}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

\frac{4}{5} ni \frac{3}{10} ga bo'lish \frac{4}{5} ga k'paytirish \frac{3}{10} ga qaytarish.

$$\frac{25}{6}-\frac{4}{5}\times \frac{10}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni \frac{10}{3} ga ko‘paytiring.

$$\frac{25}{6}-\frac{4\times 10}{5\times 3}$$

\frac{4\times 10}{5\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{25}{6}-\frac{40}{15}$$

\frac{40}{15} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{25}{6}-\frac{8}{3}$$

6 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{25}{6} va \frac{8}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{25}{6}-\frac{16}{6}$$

\frac{25}{6} va \frac{16}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{25-16}{6}$$

9 olish uchun 25 dan 16 ni ayirish.

$$\frac{9}{6}$$

\frac{9}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{2}$$

Omil

$$\frac{3}{2} = 1\frac{1}{2} = 1,5$$