(2/15+1.5):(12/3-24/5)= eching

$$( \frac { 2 } { 15 } + 1.5 ) : ( 1 \frac { 2 } { 3 } - 2 \frac { 4 } { 5 } ) =$$

Baholash

$$-\frac{49}{34}\approx -1,441176471$$

Yechim qadamlari

1,5 o‘nlik raqamni uning \frac{15}{10} kasrga o‘giring. \frac{15}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{2}{15}+\frac{3}{2}}{\frac{1\times 3+2}{3}-\frac{2\times 5+4}{5}}$$

15 va 2 ning eng kichik umumiy karralisi 30 ga teng. \frac{2}{15} va \frac{3}{2} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{4}{30}+\frac{45}{30}}{\frac{1\times 3+2}{3}-\frac{2\times 5+4}{5}}$$

\frac{4}{30} va \frac{45}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{4+45}{30}}{\frac{1\times 3+2}{3}-\frac{2\times 5+4}{5}}$$

49 olish uchun 4 va 45'ni qo'shing.

$$\frac{\frac{49}{30}}{\frac{1\times 3+2}{3}-\frac{2\times 5+4}{5}}$$

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

$$\frac{\frac{49}{30}}{\frac{3+2}{3}-\frac{2\times 5+4}{5}}$$

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

$$\frac{\frac{49}{30}}{\frac{5}{3}-\frac{2\times 5+4}{5}}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{\frac{49}{30}}{\frac{5}{3}-\frac{10+4}{5}}$$

14 olish uchun 10 va 4'ni qo'shing.

$$\frac{\frac{49}{30}}{\frac{5}{3}-\frac{14}{5}}$$

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{5}{3} va \frac{14}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{49}{30}}{\frac{25}{15}-\frac{42}{15}}$$

\frac{25}{15} va \frac{42}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{49}{30}}{\frac{25-42}{15}}$$

-17 olish uchun 25 dan 42 ni ayirish.

$$\frac{\frac{49}{30}}{-\frac{17}{15}}$$

\frac{49}{30} ni -\frac{17}{15} ga bo'lish \frac{49}{30} ga k'paytirish -\frac{17}{15} ga qaytarish.

$$\frac{49}{30}\left(-\frac{15}{17}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{49}{30} ni -\frac{15}{17} ga ko‘paytiring.

$$\frac{49\left(-15\right)}{30\times 17}$$

\frac{49\left(-15\right)}{30\times 17} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-735}{510}$$

\frac{-735}{510} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{49}{34}$$

Omil

$$-\frac{49}{34} = -1\frac{15}{34} = -1,4411764705882353$$