3/200+5/201+5/204+4/209+frac{2}{20}16+frac{1}{20}25 eching

$$\frac{ 3 }{ 20 } 0+ \frac{ 5 }{ 20 } 1+ \frac{ 5 }{ 20 } 4+ \frac{ 4 }{ 20 } 9+ \frac{ 2 }{ 20 } 16+ \frac{ 1 }{ 20 } 25$$

Baholash

$$\frac{59}{10}=5,9$$

Yechim qadamlari

0 hosil qilish uchun \frac{3}{20} va 0 ni ko'paytirish.

$$0+\frac{5}{20}\times 1+\frac{5}{20}\times 4+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

\frac{5}{20} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$0+\frac{1}{4}\times 1+\frac{5}{20}\times 4+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

\frac{1}{4} hosil qilish uchun \frac{1}{4} va 1 ni ko'paytirish.

$$0+\frac{1}{4}+\frac{5}{20}\times 4+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

\frac{1}{4} olish uchun 0 va \frac{1}{4}'ni qo'shing.

$$\frac{1}{4}+\frac{5}{20}\times 4+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

\frac{5}{20} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{4}+\frac{1}{4}\times 4+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

4 va 4 ni qisqartiring.

$$\frac{1}{4}+1+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

1 ni \frac{4}{4} kasrga o‘giring.

$$\frac{1}{4}+\frac{4}{4}+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

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

$$\frac{1+4}{4}+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

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

$$\frac{5}{4}+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

\frac{4}{20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{4}+\frac{1}{5}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

\frac{9}{5} hosil qilish uchun \frac{1}{5} va 9 ni ko'paytirish.

$$\frac{5}{4}+\frac{9}{5}+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

4 va 5 ning eng kichik umumiy karralisi 20 ga teng. \frac{5}{4} va \frac{9}{5} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{25}{20}+\frac{36}{20}+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

\frac{25}{20} va \frac{36}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{25+36}{20}+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

61 olish uchun 25 va 36'ni qo'shing.

$$\frac{61}{20}+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

\frac{2}{20} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{61}{20}+\frac{1}{10}\times 16+\frac{1}{20}\times 25$$

\frac{16}{10} hosil qilish uchun \frac{1}{10} va 16 ni ko'paytirish.

$$\frac{61}{20}+\frac{16}{10}+\frac{1}{20}\times 25$$

\frac{16}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{61}{20}+\frac{8}{5}+\frac{1}{20}\times 25$$

20 va 5 ning eng kichik umumiy karralisi 20 ga teng. \frac{61}{20} va \frac{8}{5} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{61}{20}+\frac{32}{20}+\frac{1}{20}\times 25$$

\frac{61}{20} va \frac{32}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{61+32}{20}+\frac{1}{20}\times 25$$

93 olish uchun 61 va 32'ni qo'shing.

$$\frac{93}{20}+\frac{1}{20}\times 25$$

\frac{25}{20} hosil qilish uchun \frac{1}{20} va 25 ni ko'paytirish.

$$\frac{93}{20}+\frac{25}{20}$$

\frac{93}{20} va \frac{25}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{93+25}{20}$$

118 olish uchun 93 va 25'ni qo'shing.

$$\frac{118}{20}$$

\frac{118}{20} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{59}{10}$$

Omil

$$\frac{59}{2 \cdot 5} = 5\frac{9}{10} = 5,9$$