4/5+7/8-(1/2-1/4+frac{1}{5}-frac{1}{10}) eching

$$\frac { 4 } { 5 } + \frac { 7 } { 8 } - ( \frac { 1 } { 2 } - \frac { 1 } { 4 } + \frac { 1 } { 5 } - \frac { 1 } { 10 } )$$

Baholash

$$\frac{53}{40}=1,325$$

Yechim qadamlari

5 va 8 ning eng kichik umumiy karralisi 40 ga teng. \frac{4}{5} va \frac{7}{8} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{32}{40}+\frac{35}{40}-\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

\frac{32}{40} va \frac{35}{40} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{32+35}{40}-\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

67 olish uchun 32 va 35'ni qo'shing.

$$\frac{67}{40}-\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

2 va 4 ning eng kichik umumiy karralisi 4 ga teng. \frac{1}{2} va \frac{1}{4} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{67}{40}-\left(\frac{2}{4}-\frac{1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

\frac{2}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{67}{40}-\left(\frac{2-1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

1 olish uchun 2 dan 1 ni ayirish.

$$\frac{67}{40}-\left(\frac{1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

4 va 5 ning eng kichik umumiy karralisi 20 ga teng. \frac{1}{4} va \frac{1}{5} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{67}{40}-\left(\frac{5}{20}+\frac{4}{20}-\frac{1}{10}\right)$$

\frac{5}{20} va \frac{4}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{67}{40}-\left(\frac{5+4}{20}-\frac{1}{10}\right)$$

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

$$\frac{67}{40}-\left(\frac{9}{20}-\frac{1}{10}\right)$$

20 va 10 ning eng kichik umumiy karralisi 20 ga teng. \frac{9}{20} va \frac{1}{10} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{67}{40}-\left(\frac{9}{20}-\frac{2}{20}\right)$$

\frac{9}{20} va \frac{2}{20} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{67}{40}-\frac{9-2}{20}$$

7 olish uchun 9 dan 2 ni ayirish.

$$\frac{67}{40}-\frac{7}{20}$$

40 va 20 ning eng kichik umumiy karralisi 40 ga teng. \frac{67}{40} va \frac{7}{20} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{67}{40}-\frac{14}{40}$$

\frac{67}{40} va \frac{14}{40} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{67-14}{40}$$

53 olish uchun 67 dan 14 ni ayirish.

$$\frac{53}{40}$$

Omil

$$\frac{53}{2 ^ {3} \cdot 5} = 1\frac{13}{40} = 1,325$$