(7/15+7/30+4/5):(2-1/3-frac{1}{2}) eching

$$( \frac { 7 } { 15 } + \frac { 7 } { 30 } + \frac { 4 } { 5 } ) : ( 2 - \frac { 1 } { 3 } - \frac { 1 } { 2 } )$$

Baholash

$$\frac{9}{7}\approx 1,285714286$$

Yechim qadamlari

15 va 30 ning eng kichik umumiy karralisi 30 ga teng. \frac{7}{15} va \frac{7}{30} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{14}{30}+\frac{7}{30}+\frac{4}{5}}{2-\frac{1}{3}-\frac{1}{2}}$$

\frac{14}{30} va \frac{7}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{14+7}{30}+\frac{4}{5}}{2-\frac{1}{3}-\frac{1}{2}}$$

21 olish uchun 14 va 7'ni qo'shing.

$$\frac{\frac{21}{30}+\frac{4}{5}}{2-\frac{1}{3}-\frac{1}{2}}$$

\frac{21}{30} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{7}{10}+\frac{4}{5}}{2-\frac{1}{3}-\frac{1}{2}}$$

10 va 5 ning eng kichik umumiy karralisi 10 ga teng. \frac{7}{10} va \frac{4}{5} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{7}{10}+\frac{8}{10}}{2-\frac{1}{3}-\frac{1}{2}}$$

\frac{7}{10} va \frac{8}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{7+8}{10}}{2-\frac{1}{3}-\frac{1}{2}}$$

15 olish uchun 7 va 8'ni qo'shing.

$$\frac{\frac{15}{10}}{2-\frac{1}{3}-\frac{1}{2}}$$

\frac{15}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{3}{2}}{2-\frac{1}{3}-\frac{1}{2}}$$

2 ni \frac{6}{3} kasrga o‘giring.

$$\frac{\frac{3}{2}}{\frac{6}{3}-\frac{1}{3}-\frac{1}{2}}$$

\frac{6}{3} va \frac{1}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3}{2}}{\frac{6-1}{3}-\frac{1}{2}}$$

5 olish uchun 6 dan 1 ni ayirish.

$$\frac{\frac{3}{2}}{\frac{5}{3}-\frac{1}{2}}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{3} va \frac{1}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{3}{2}}{\frac{10}{6}-\frac{3}{6}}$$

\frac{10}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3}{2}}{\frac{10-3}{6}}$$

7 olish uchun 10 dan 3 ni ayirish.

$$\frac{\frac{3}{2}}{\frac{7}{6}}$$

\frac{3}{2} ni \frac{7}{6} ga bo'lish \frac{3}{2} ga k'paytirish \frac{7}{6} ga qaytarish.

$$\frac{3}{2}\times \frac{6}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{2} ni \frac{6}{7} ga ko‘paytiring.

$$\frac{3\times 6}{2\times 7}$$

\frac{3\times 6}{2\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{18}{14}$$

\frac{18}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{9}{7}$$

Omil

$$\frac{3 ^ {2}}{7} = 1\frac{2}{7} = 1,2857142857142858$$