1+1/5(-1/5+1/3)+[1/10+(-frac{1}{5})]+(-frac{1}{25}) eching

$$1 + \frac { 1 } { 5 } ( - \frac { 1 } { 5 } + \frac { 1 } { 3 } ) + [ \frac { 1 } { 10 } + ( - \frac { 1 } { 5 } ) ] + ( - \frac { 1 } { 25 } )$$

Baholash

$$\frac{133}{150}\approx 0,886666667$$

Yechim qadamlari

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. -\frac{1}{5} va \frac{1}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$1+\frac{1}{5}\left(-\frac{3}{15}+\frac{5}{15}\right)+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

-\frac{3}{15} va \frac{5}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$1+\frac{1}{5}\times \frac{-3+5}{15}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

2 olish uchun -3 va 5'ni qo'shing.

$$1+\frac{1}{5}\times \frac{2}{15}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{5} ni \frac{2}{15} ga ko‘paytiring.

$$1+\frac{1\times 2}{5\times 15}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

\frac{1\times 2}{5\times 15} kasridagi ko‘paytirishlarni bajaring.

$$1+\frac{2}{75}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

1 ni \frac{75}{75} kasrga o‘giring.

$$\frac{75}{75}+\frac{2}{75}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

\frac{75}{75} va \frac{2}{75} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{75+2}{75}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

77 olish uchun 75 va 2'ni qo'shing.

$$\frac{77}{75}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

75 va 10 ning eng kichik umumiy karralisi 150 ga teng. \frac{77}{75} va \frac{1}{10} ni 150 maxraj bilan kasrlarga aylantirib oling.

$$\frac{154}{150}+\frac{15}{150}-\frac{1}{5}-\frac{1}{25}$$

\frac{154}{150} va \frac{15}{150} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{154+15}{150}-\frac{1}{5}-\frac{1}{25}$$

169 olish uchun 154 va 15'ni qo'shing.

$$\frac{169}{150}-\frac{1}{5}-\frac{1}{25}$$

150 va 5 ning eng kichik umumiy karralisi 150 ga teng. \frac{169}{150} va \frac{1}{5} ni 150 maxraj bilan kasrlarga aylantirib oling.

$$\frac{169}{150}-\frac{30}{150}-\frac{1}{25}$$

\frac{169}{150} va \frac{30}{150} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{169-30}{150}-\frac{1}{25}$$

139 olish uchun 169 dan 30 ni ayirish.

$$\frac{139}{150}-\frac{1}{25}$$

150 va 25 ning eng kichik umumiy karralisi 150 ga teng. \frac{139}{150} va \frac{1}{25} ni 150 maxraj bilan kasrlarga aylantirib oling.

$$\frac{139}{150}-\frac{6}{150}$$

\frac{139}{150} va \frac{6}{150} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{139-6}{150}$$

133 olish uchun 139 dan 6 ni ayirish.

$$\frac{133}{150}$$

Omil

$$\frac{7 \cdot 19}{2 \cdot 3 \cdot 5 ^ {2}} = 0,8866666666666667$$