1*20/63+2*10/21+3*10/63+4*1/126 eching

$$1 \times \frac { 20 } { 63 } + 2 \times \frac { 10 } { 21 } + 3 \times \frac { 10 } { 63 } + 4 \times \frac { 1 } { 126 }$$

Baholash

$$\frac{16}{9}\approx 1,777777778$$

Yechim qadamlari

\frac{20}{63} hosil qilish uchun 1 va \frac{20}{63} ni ko'paytirish.

$$\frac{20}{63}+2\times \frac{10}{21}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

2\times \frac{10}{21} ni yagona kasrga aylantiring.

$$\frac{20}{63}+\frac{2\times 10}{21}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

20 hosil qilish uchun 2 va 10 ni ko'paytirish.

$$\frac{20}{63}+\frac{20}{21}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

63 va 21 ning eng kichik umumiy karralisi 63 ga teng. \frac{20}{63} va \frac{20}{21} ni 63 maxraj bilan kasrlarga aylantirib oling.

$$\frac{20}{63}+\frac{60}{63}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

\frac{20}{63} va \frac{60}{63} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{20+60}{63}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

80 olish uchun 20 va 60'ni qo'shing.

$$\frac{80}{63}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

3\times \frac{10}{63} ni yagona kasrga aylantiring.

$$\frac{80}{63}+\frac{3\times 10}{63}+4\times \frac{1}{126}$$

30 hosil qilish uchun 3 va 10 ni ko'paytirish.

$$\frac{80}{63}+\frac{30}{63}+4\times \frac{1}{126}$$

\frac{80}{63} va \frac{30}{63} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{80+30}{63}+4\times \frac{1}{126}$$

110 olish uchun 80 va 30'ni qo'shing.

$$\frac{110}{63}+4\times \frac{1}{126}$$

\frac{4}{126} hosil qilish uchun 4 va \frac{1}{126} ni ko'paytirish.

$$\frac{110}{63}+\frac{4}{126}$$

\frac{4}{126} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{110}{63}+\frac{2}{63}$$

\frac{110}{63} va \frac{2}{63} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{110+2}{63}$$

112 olish uchun 110 va 2'ni qo'shing.

$$\frac{112}{63}$$

\frac{112}{63} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{16}{9}$$

Omil

$$\frac{2 ^ {4}}{3 ^ {2}} = 1\frac{7}{9} = 1,7777777777777777$$