11/42+11/56+11/72+11/100 eching

$$\frac{ 11 }{ 42 } + \frac{ 11 }{ 56 } + \frac{ 11 }{ 72 } + \frac{ 11 }{ 100 }$$

Baholash

$$\frac{649}{900}\approx 0,721111111$$

Yechim qadamlari

42 va 56 ning eng kichik umumiy karralisi 168 ga teng. \frac{11}{42} va \frac{11}{56} ni 168 maxraj bilan kasrlarga aylantirib oling.

$$\frac{44}{168}+\frac{33}{168}+\frac{11}{72}+\frac{11}{100}$$

\frac{44}{168} va \frac{33}{168} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{44+33}{168}+\frac{11}{72}+\frac{11}{100}$$

77 olish uchun 44 va 33'ni qo'shing.

$$\frac{77}{168}+\frac{11}{72}+\frac{11}{100}$$

\frac{77}{168} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{11}{24}+\frac{11}{72}+\frac{11}{100}$$

24 va 72 ning eng kichik umumiy karralisi 72 ga teng. \frac{11}{24} va \frac{11}{72} ni 72 maxraj bilan kasrlarga aylantirib oling.

$$\frac{33}{72}+\frac{11}{72}+\frac{11}{100}$$

\frac{33}{72} va \frac{11}{72} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{33+11}{72}+\frac{11}{100}$$

44 olish uchun 33 va 11'ni qo'shing.

$$\frac{44}{72}+\frac{11}{100}$$

\frac{44}{72} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{11}{18}+\frac{11}{100}$$

18 va 100 ning eng kichik umumiy karralisi 900 ga teng. \frac{11}{18} va \frac{11}{100} ni 900 maxraj bilan kasrlarga aylantirib oling.

$$\frac{550}{900}+\frac{99}{900}$$

\frac{550}{900} va \frac{99}{900} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{550+99}{900}$$

649 olish uchun 550 va 99'ni qo'shing.

$$\frac{649}{900}$$

Omil

$$\frac{11 \cdot 59}{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0,7211111111111111$$