1/frac{1{2}+1/4+1/1+1/100}= eching

$$\frac { 1 } { \frac { 1 } { 2 } + \frac { 1 } { 4 } + \frac { 1 } { 1 } + \frac { 1 } { 100 } } =$$

Baholash

$$\frac{25}{44}\approx 0,568181818$$

Yechim qadamlari

1 ni olish uchun 1 ni 1 ga bo‘ling.

$$\frac{1}{\frac{1}{2}+\frac{1}{4}+1+\frac{1}{100}}$$

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.

$$\frac{1}{\frac{2}{4}+\frac{1}{4}+1+\frac{1}{100}}$$

\frac{2}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{\frac{2+1}{4}+1+\frac{1}{100}}$$

3 olish uchun 2 va 1'ni qo'shing.

$$\frac{1}{\frac{3}{4}+1+\frac{1}{100}}$$

1 ni \frac{4}{4} kasrga o‘giring.

$$\frac{1}{\frac{3}{4}+\frac{4}{4}+\frac{1}{100}}$$

\frac{3}{4} va \frac{4}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{\frac{3+4}{4}+\frac{1}{100}}$$

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

$$\frac{1}{\frac{7}{4}+\frac{1}{100}}$$

4 va 100 ning eng kichik umumiy karralisi 100 ga teng. \frac{7}{4} va \frac{1}{100} ni 100 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{\frac{175}{100}+\frac{1}{100}}$$

\frac{175}{100} va \frac{1}{100} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{\frac{175+1}{100}}$$

176 olish uchun 175 va 1'ni qo'shing.

$$\frac{1}{\frac{176}{100}}$$

\frac{176}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{\frac{44}{25}}$$

1 ni \frac{44}{25} ga bo'lish 1 ga k'paytirish \frac{44}{25} ga qaytarish.

$$1\times \frac{25}{44}$$

\frac{25}{44} hosil qilish uchun 1 va \frac{25}{44} ni ko'paytirish.

$$\frac{25}{44}$$

Omil

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 11} = 0,5681818181818182$$