1*30/6+2*16/21+3*10/6+4*1/16 eching

$$1 \times \frac { 30 } { 6 } + 2 \times \frac { 16 } { 21 } + 3 \times \frac { 10 } { 6 } + 4 \times \frac { 1 } { 16 }$$

Baholash

$$\frac{989}{84}\approx 11,773809524$$

Yechim qadamlari

5 ni olish uchun 30 ni 6 ga bo‘ling.

$$1\times 5+2\times \frac{16}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

5 hosil qilish uchun 1 va 5 ni ko'paytirish.

$$5+2\times \frac{16}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

2\times \frac{16}{21} ni yagona kasrga aylantiring.

$$5+\frac{2\times 16}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

32 hosil qilish uchun 2 va 16 ni ko'paytirish.

$$5+\frac{32}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

5 ni \frac{105}{21} kasrga o‘giring.

$$\frac{105}{21}+\frac{32}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

\frac{105}{21} va \frac{32}{21} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{105+32}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

137 olish uchun 105 va 32'ni qo'shing.

$$\frac{137}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

\frac{10}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{137}{21}+3\times \frac{5}{3}+4\times \frac{1}{16}$$

3 va 3 ni qisqartiring.

$$\frac{137}{21}+5+4\times \frac{1}{16}$$

5 ni \frac{105}{21} kasrga o‘giring.

$$\frac{137}{21}+\frac{105}{21}+4\times \frac{1}{16}$$

\frac{137}{21} va \frac{105}{21} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{137+105}{21}+4\times \frac{1}{16}$$

242 olish uchun 137 va 105'ni qo'shing.

$$\frac{242}{21}+4\times \frac{1}{16}$$

\frac{4}{16} hosil qilish uchun 4 va \frac{1}{16} ni ko'paytirish.

$$\frac{242}{21}+\frac{4}{16}$$

\frac{4}{16} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{242}{21}+\frac{1}{4}$$

21 va 4 ning eng kichik umumiy karralisi 84 ga teng. \frac{242}{21} va \frac{1}{4} ni 84 maxraj bilan kasrlarga aylantirib oling.

$$\frac{968}{84}+\frac{21}{84}$$

\frac{968}{84} va \frac{21}{84} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{968+21}{84}$$

989 olish uchun 968 va 21'ni qo'shing.

$$\frac{989}{84}$$

Omil

$$\frac{23 \cdot 43}{2 ^ {2} \cdot 3 \cdot 7} = 11\frac{65}{84} = 11,773809523809524$$