1/5-3/10+1/4*2/4 eching

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

Baholash

$$\frac{1}{10}=0,1$$

Yechim qadamlari

5 va 10 ning eng kichik umumiy karralisi 10 ga teng. \frac{1}{5} va \frac{3}{10} ni 10 maxraj bilan kasrlarga aylantirib oling.

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

\frac{2}{10} va \frac{3}{10} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

-1 olish uchun 2 dan 3 ni ayirish.

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

\frac{2}{4} hosil qilish uchun \frac{1}{4} va 2 ni ko'paytirish.

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

\frac{2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

10 va 2 ning eng kichik umumiy karralisi 10 ga teng. -\frac{1}{10} va \frac{1}{2} ni 10 maxraj bilan kasrlarga aylantirib oling.

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

-\frac{1}{10} va \frac{5}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

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

$$\frac{\frac{4}{10}}{4}$$

\frac{4}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{2}{5}}{4}$$

\frac{\frac{2}{5}}{4} ni yagona kasrga aylantiring.

$$\frac{2}{5\times 4}$$

20 hosil qilish uchun 5 va 4 ni ko'paytirish.

$$\frac{2}{20}$$

\frac{2}{20} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{10}$$

Omil

$$\frac{1}{2 \cdot 5} = 0,1$$