1/2-(-3)div6/5+4/9(-3/8)-1 eching

$$\frac{ 1 }{ 2 } -(-3) \div \frac{ 6 }{ 5 } + \frac{ 4 }{ 9 } (- \frac{ 3 }{ 8 } )-1$$

Baholash

$$\frac{11}{6}\approx 1,833333333$$

Yechim qadamlari

-3 ni \frac{6}{5} ga bo'lish -3 ga k'paytirish \frac{6}{5} ga qaytarish.

$$\frac{1}{2}-\left(-3\times \frac{5}{6}\right)+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

-3\times \frac{5}{6} ni yagona kasrga aylantiring.

$$\frac{1}{2}-\frac{-3\times 5}{6}+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

-15 hosil qilish uchun -3 va 5 ni ko'paytirish.

$$\frac{1}{2}-\frac{-15}{6}+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

\frac{-15}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{2}-\left(-\frac{5}{2}\right)+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

-\frac{5}{2} ning teskarisi \frac{5}{2} ga teng.

$$\frac{1}{2}+\frac{5}{2}+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

\frac{1}{2} va \frac{5}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1+5}{2}+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

6 olish uchun 1 va 5'ni qo'shing.

$$\frac{6}{2}+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

3 ni olish uchun 6 ni 2 ga bo‘ling.

$$3+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{9} ni -\frac{3}{8} ga ko‘paytiring.

$$3+\frac{4\left(-3\right)}{9\times 8}-1$$

\frac{4\left(-3\right)}{9\times 8} kasridagi ko‘paytirishlarni bajaring.

$$3+\frac{-12}{72}-1$$

\frac{-12}{72} ulushini 12 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

3 ni \frac{18}{6} kasrga o‘giring.

$$\frac{18}{6}-\frac{1}{6}-1$$

\frac{18}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{18-1}{6}-1$$

17 olish uchun 18 dan 1 ni ayirish.

$$\frac{17}{6}-1$$

1 ni \frac{6}{6} kasrga o‘giring.

$$\frac{17}{6}-\frac{6}{6}$$

\frac{17}{6} va \frac{6}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{17-6}{6}$$

11 olish uchun 17 dan 6 ni ayirish.

$$\frac{11}{6}$$

Omil

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1,8333333333333333$$