(12/3+41/2+25/6):(43/10+3frac{1}{5}+1frac{7}{20}) eching

$$( 1 \frac { 2 } { 3 } + 4 \frac { 1 } { 2 } + 2 \frac { 5 } { 6 } ) : ( 4 \frac { 3 } { 10 } + 3 \frac { 1 } { 5 } + 1 \frac { 7 } { 20 } )$$

Baholash

$$\frac{60}{59}\approx 1,016949153$$

Yechim qadamlari

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$\frac{\frac{3+2}{3}+\frac{4\times 2+1}{2}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

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

$$\frac{\frac{5}{3}+\frac{4\times 2+1}{2}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\frac{\frac{5}{3}+\frac{8+1}{2}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{\frac{5}{3}+\frac{9}{2}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{3} va \frac{9}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{10}{6}+\frac{27}{6}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

\frac{10}{6} va \frac{27}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{10+27}{6}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

37 olish uchun 10 va 27'ni qo'shing.

$$\frac{\frac{37}{6}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

12 hosil qilish uchun 2 va 6 ni ko'paytirish.

$$\frac{\frac{37}{6}+\frac{12+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

17 olish uchun 12 va 5'ni qo'shing.

$$\frac{\frac{37}{6}+\frac{17}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

\frac{37}{6} va \frac{17}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{37+17}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

54 olish uchun 37 va 17'ni qo'shing.

$$\frac{\frac{54}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

9 ni olish uchun 54 ni 6 ga bo‘ling.

$$\frac{9}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

40 hosil qilish uchun 4 va 10 ni ko'paytirish.

$$\frac{9}{\frac{40+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

43 olish uchun 40 va 3'ni qo'shing.

$$\frac{9}{\frac{43}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{9}{\frac{43}{10}+\frac{15+1}{5}+\frac{1\times 20+7}{20}}$$

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

$$\frac{9}{\frac{43}{10}+\frac{16}{5}+\frac{1\times 20+7}{20}}$$

10 va 5 ning eng kichik umumiy karralisi 10 ga teng. \frac{43}{10} va \frac{16}{5} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{9}{\frac{43}{10}+\frac{32}{10}+\frac{1\times 20+7}{20}}$$

\frac{43}{10} va \frac{32}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{9}{\frac{43+32}{10}+\frac{1\times 20+7}{20}}$$

75 olish uchun 43 va 32'ni qo'shing.

$$\frac{9}{\frac{75}{10}+\frac{1\times 20+7}{20}}$$

\frac{75}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{9}{\frac{15}{2}+\frac{1\times 20+7}{20}}$$

20 hosil qilish uchun 1 va 20 ni ko'paytirish.

$$\frac{9}{\frac{15}{2}+\frac{20+7}{20}}$$

27 olish uchun 20 va 7'ni qo'shing.

$$\frac{9}{\frac{15}{2}+\frac{27}{20}}$$

2 va 20 ning eng kichik umumiy karralisi 20 ga teng. \frac{15}{2} va \frac{27}{20} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{9}{\frac{150}{20}+\frac{27}{20}}$$

\frac{150}{20} va \frac{27}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{9}{\frac{150+27}{20}}$$

177 olish uchun 150 va 27'ni qo'shing.

$$\frac{9}{\frac{177}{20}}$$

9 ni \frac{177}{20} ga bo'lish 9 ga k'paytirish \frac{177}{20} ga qaytarish.

$$9\times \frac{20}{177}$$

9\times \frac{20}{177} ni yagona kasrga aylantiring.

$$\frac{9\times 20}{177}$$

180 hosil qilish uchun 9 va 20 ni ko'paytirish.

$$\frac{180}{177}$$

\frac{180}{177} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{60}{59}$$

Omil

$$\frac{2 ^ {2} \cdot 3 \cdot 5}{59} = 1\frac{1}{59} = 1,0169491525423728$$