1/12+1/4+1+1/128 eching

$$\frac { 1 } { 12 } + \frac { 1 } { 4 } + 1 + \frac { 1 } { 128 }$$

Baholash

$$\frac{515}{384}\approx 1,341145833$$

Yechim qadamlari

12 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{12} va \frac{1}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{12}+\frac{3}{12}+1+\frac{1}{128}$$

\frac{1}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1+3}{12}+1+\frac{1}{128}$$

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

$$\frac{4}{12}+1+\frac{1}{128}$$

\frac{4}{12} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{3}+1+\frac{1}{128}$$

1 ni \frac{3}{3} kasrga o‘giring.

$$\frac{1}{3}+\frac{3}{3}+\frac{1}{128}$$

\frac{1}{3} va \frac{3}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1+3}{3}+\frac{1}{128}$$

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

$$\frac{4}{3}+\frac{1}{128}$$

3 va 128 ning eng kichik umumiy karralisi 384 ga teng. \frac{4}{3} va \frac{1}{128} ni 384 maxraj bilan kasrlarga aylantirib oling.

$$\frac{512}{384}+\frac{3}{384}$$

\frac{512}{384} va \frac{3}{384} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{512+3}{384}$$

515 olish uchun 512 va 3'ni qo'shing.

$$\frac{515}{384}$$

Omil

$$\frac{5 \cdot 103}{2 ^ {7} \cdot 3} = 1\frac{131}{384} = 1,3411458333333333$$