6/10+(2/9+15/90-25/90):frac{3}{9} eching

$$\frac { 6 } { 10 } + ( \frac { 2 } { 9 } + \frac { 15 } { 90 } - \frac { 25 } { 90 } ) : \frac { 3 } { 9 }$$

Baholash

$$\frac{14}{15}\approx 0,933333333$$

Yechim qadamlari

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

$$\frac{3}{5}+\frac{\frac{2}{9}+\frac{15}{90}-\frac{25}{90}}{\frac{3}{9}}$$

\frac{15}{90} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{5}+\frac{\frac{2}{9}+\frac{1}{6}-\frac{25}{90}}{\frac{3}{9}}$$

9 va 6 ning eng kichik umumiy karralisi 18 ga teng. \frac{2}{9} va \frac{1}{6} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{5}+\frac{\frac{4}{18}+\frac{3}{18}-\frac{25}{90}}{\frac{3}{9}}$$

\frac{4}{18} va \frac{3}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3}{5}+\frac{\frac{4+3}{18}-\frac{25}{90}}{\frac{3}{9}}$$

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

$$\frac{3}{5}+\frac{\frac{7}{18}-\frac{25}{90}}{\frac{3}{9}}$$

\frac{25}{90} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{5}+\frac{\frac{7}{18}-\frac{5}{18}}{\frac{3}{9}}$$

\frac{7}{18} va \frac{5}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3}{5}+\frac{\frac{7-5}{18}}{\frac{3}{9}}$$

2 olish uchun 7 dan 5 ni ayirish.

$$\frac{3}{5}+\frac{\frac{2}{18}}{\frac{3}{9}}$$

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

$$\frac{3}{5}+\frac{\frac{1}{9}}{\frac{3}{9}}$$

\frac{3}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{5}+\frac{\frac{1}{9}}{\frac{1}{3}}$$

\frac{1}{9} ni \frac{1}{3} ga bo'lish \frac{1}{9} ga k'paytirish \frac{1}{3} ga qaytarish.

$$\frac{3}{5}+\frac{1}{9}\times 3$$

\frac{3}{9} hosil qilish uchun \frac{1}{9} va 3 ni ko'paytirish.

$$\frac{3}{5}+\frac{3}{9}$$

\frac{3}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{5}+\frac{1}{3}$$

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{3}{5} va \frac{1}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{9}{15}+\frac{5}{15}$$

\frac{9}{15} va \frac{5}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{9+5}{15}$$

14 olish uchun 9 va 5'ni qo'shing.

$$\frac{14}{15}$$

Omil

$$\frac{2 \cdot 7}{3 \cdot 5} = 0,9333333333333333$$