S=1/9+1/18+1/30+1/45+frac{1}{63} eching

$$S = \frac { 1 } { 9 } + \frac { 1 } { 18 } + \frac { 1 } { 30 } + \frac { 1 } { 45 } + \frac { 1 } { 63 }$$

S uchun yechish

$$S=\frac{5}{21}\approx 0,238095238$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

9 va 18 ning eng kichik umumiy karralisi 18 ga teng. \frac{1}{9} va \frac{1}{18} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$S=\frac{2}{18}+\frac{1}{18}+\frac{1}{30}+\frac{1}{45}+\frac{1}{63}$$

\frac{2}{18} va \frac{1}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$S=\frac{2+1}{18}+\frac{1}{30}+\frac{1}{45}+\frac{1}{63}$$

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

$$S=\frac{3}{18}+\frac{1}{30}+\frac{1}{45}+\frac{1}{63}$$

\frac{3}{18} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$S=\frac{1}{6}+\frac{1}{30}+\frac{1}{45}+\frac{1}{63}$$

6 va 30 ning eng kichik umumiy karralisi 30 ga teng. \frac{1}{6} va \frac{1}{30} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$S=\frac{5}{30}+\frac{1}{30}+\frac{1}{45}+\frac{1}{63}$$

\frac{5}{30} va \frac{1}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$S=\frac{5+1}{30}+\frac{1}{45}+\frac{1}{63}$$

6 olish uchun 5 va 1'ni qo'shing.

$$S=\frac{6}{30}+\frac{1}{45}+\frac{1}{63}$$

\frac{6}{30} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$S=\frac{1}{5}+\frac{1}{45}+\frac{1}{63}$$

5 va 45 ning eng kichik umumiy karralisi 45 ga teng. \frac{1}{5} va \frac{1}{45} ni 45 maxraj bilan kasrlarga aylantirib oling.

$$S=\frac{9}{45}+\frac{1}{45}+\frac{1}{63}$$

\frac{9}{45} va \frac{1}{45} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$S=\frac{9+1}{45}+\frac{1}{63}$$

10 olish uchun 9 va 1'ni qo'shing.

$$S=\frac{10}{45}+\frac{1}{63}$$

\frac{10}{45} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$S=\frac{2}{9}+\frac{1}{63}$$

9 va 63 ning eng kichik umumiy karralisi 63 ga teng. \frac{2}{9} va \frac{1}{63} ni 63 maxraj bilan kasrlarga aylantirib oling.

$$S=\frac{14}{63}+\frac{1}{63}$$

\frac{14}{63} va \frac{1}{63} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$S=\frac{14+1}{63}$$

15 olish uchun 14 va 1'ni qo'shing.

$$S=\frac{15}{63}$$

\frac{15}{63} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$S=\frac{5}{21}$$

S'ni tayinlash

$$S≔\frac{5}{21}$$