(105/90-1/1+12/90):(3/9-frac{24}{90})= eching

$$( \frac { 105 } { 90 } - \frac { 1 } { 1 } + \frac { 12 } { 90 } ) : ( \frac { 3 } { 9 } - \frac { 24 } { 90 } ) =$$

Baholash

$$\frac{9}{2}=4,5$$

Yechim qadamlari

1 ni olish uchun 1 ni 1 ga bo‘ling.

$$\frac{\frac{105}{90}-1+\frac{12}{90}}{\frac{3}{9}-\frac{24}{90}}$$

\frac{105}{90} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{7}{6}-1+\frac{12}{90}}{\frac{3}{9}-\frac{24}{90}}$$

1 ni \frac{6}{6} kasrga o‘giring.

$$\frac{\frac{7}{6}-\frac{6}{6}+\frac{12}{90}}{\frac{3}{9}-\frac{24}{90}}$$

\frac{7}{6} va \frac{6}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{7-6}{6}+\frac{12}{90}}{\frac{3}{9}-\frac{24}{90}}$$

1 olish uchun 7 dan 6 ni ayirish.

$$\frac{\frac{1}{6}+\frac{12}{90}}{\frac{3}{9}-\frac{24}{90}}$$

\frac{12}{90} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{1}{6}+\frac{2}{15}}{\frac{3}{9}-\frac{24}{90}}$$

6 va 15 ning eng kichik umumiy karralisi 30 ga teng. \frac{1}{6} va \frac{2}{15} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{5}{30}+\frac{4}{30}}{\frac{3}{9}-\frac{24}{90}}$$

\frac{5}{30} va \frac{4}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{5+4}{30}}{\frac{3}{9}-\frac{24}{90}}$$

9 olish uchun 5 va 4'ni qo'shing.

$$\frac{\frac{9}{30}}{\frac{3}{9}-\frac{24}{90}}$$

\frac{9}{30} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{3}{10}}{\frac{3}{9}-\frac{24}{90}}$$

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

$$\frac{\frac{3}{10}}{\frac{1}{3}-\frac{24}{90}}$$

\frac{24}{90} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{3}{10}}{\frac{1}{3}-\frac{4}{15}}$$

3 va 15 ning eng kichik umumiy karralisi 15 ga teng. \frac{1}{3} va \frac{4}{15} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{3}{10}}{\frac{5}{15}-\frac{4}{15}}$$

\frac{5}{15} va \frac{4}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3}{10}}{\frac{5-4}{15}}$$

1 olish uchun 5 dan 4 ni ayirish.

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

\frac{3}{10} ni \frac{1}{15} ga bo'lish \frac{3}{10} ga k'paytirish \frac{1}{15} ga qaytarish.

$$\frac{3}{10}\times 15$$

\frac{3}{10}\times 15 ni yagona kasrga aylantiring.

$$\frac{3\times 15}{10}$$

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

$$\frac{45}{10}$$

\frac{45}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{9}{2}$$

Omil

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4,5$$