2/5+3/10-1/20/2/3+1/9+5/6 eching

$$\frac { 2 / 5 + 3 / 10 - 1 / 20 } { 2 / 3 + 1 / 9 + 5 / 6 }$$

Baholash

$$\frac{117}{290}\approx 0,403448276$$

Yechim qadamlari

5 va 10 ning eng kichik umumiy karralisi 10 ga teng. \frac{2}{5} va \frac{3}{10} ni 10 maxraj bilan kasrlarga aylantirib oling.

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

\frac{4}{10} va \frac{3}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

7 olish uchun 4 va 3'ni qo'shing.

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

10 va 20 ning eng kichik umumiy karralisi 20 ga teng. \frac{7}{10} va \frac{1}{20} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{14}{20}-\frac{1}{20}}{\frac{2}{3}+\frac{1}{9}+\frac{5}{6}}$$

\frac{14}{20} va \frac{1}{20} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{14-1}{20}}{\frac{2}{3}+\frac{1}{9}+\frac{5}{6}}$$

13 olish uchun 14 dan 1 ni ayirish.

$$\frac{\frac{13}{20}}{\frac{2}{3}+\frac{1}{9}+\frac{5}{6}}$$

3 va 9 ning eng kichik umumiy karralisi 9 ga teng. \frac{2}{3} va \frac{1}{9} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{13}{20}}{\frac{6}{9}+\frac{1}{9}+\frac{5}{6}}$$

\frac{6}{9} va \frac{1}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{13}{20}}{\frac{6+1}{9}+\frac{5}{6}}$$

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

$$\frac{\frac{13}{20}}{\frac{7}{9}+\frac{5}{6}}$$

9 va 6 ning eng kichik umumiy karralisi 18 ga teng. \frac{7}{9} va \frac{5}{6} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{13}{20}}{\frac{14}{18}+\frac{15}{18}}$$

\frac{14}{18} va \frac{15}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{13}{20}}{\frac{14+15}{18}}$$

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

$$\frac{\frac{13}{20}}{\frac{29}{18}}$$

\frac{13}{20} ni \frac{29}{18} ga bo'lish \frac{13}{20} ga k'paytirish \frac{29}{18} ga qaytarish.

$$\frac{13}{20}\times \frac{18}{29}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{13}{20} ni \frac{18}{29} ga ko‘paytiring.

$$\frac{13\times 18}{20\times 29}$$

\frac{13\times 18}{20\times 29} kasridagi ko‘paytirishlarni bajaring.

$$\frac{234}{580}$$

\frac{234}{580} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{117}{290}$$

Omil

$$\frac{3 ^ {2} \cdot 13}{2 \cdot 5 \cdot 29} = 0,40344827586206894$$