41/2*[(-12/3)div3]div3/4 eching

$$4 \frac { 1 } { 2 } \times [ ( - 1 \frac { 2 } { 3 } ) \div 3 ] \div \frac { 3 } { 4 }$$

Baholash

$$-\frac{10}{3}\approx -3,333333333$$

Yechim qadamlari

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\frac{\frac{8+1}{2}\times \frac{-\frac{1\times 3+2}{3}}{3}}{\frac{3}{4}}$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{\frac{9}{2}\times \frac{-\frac{1\times 3+2}{3}}{3}}{\frac{3}{4}}$$

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

$$\frac{\frac{9}{2}\times \frac{-\frac{3+2}{3}}{3}}{\frac{3}{4}}$$

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

$$\frac{\frac{9}{2}\times \frac{-\frac{5}{3}}{3}}{\frac{3}{4}}$$

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

$$\frac{\frac{9}{2}\times \frac{-5}{3\times 3}}{\frac{3}{4}}$$

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

$$\frac{\frac{9}{2}\times \frac{-5}{9}}{\frac{3}{4}}$$

\frac{-5}{9} kasri manfiy belgini olib tashlash bilan -\frac{5}{9} sifatida qayta yozilishi mumkin.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{2} ni -\frac{5}{9} ga ko‘paytiring.

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

Surat va maxrajdagi ikkala 9 ni qisqartiring.

$$\frac{\frac{-5}{2}}{\frac{3}{4}}$$

\frac{-5}{2} kasri manfiy belgini olib tashlash bilan -\frac{5}{2} sifatida qayta yozilishi mumkin.

$$\frac{-\frac{5}{2}}{\frac{3}{4}}$$

-\frac{5}{2} ni \frac{3}{4} ga bo'lish -\frac{5}{2} ga k'paytirish \frac{3}{4} ga qaytarish.

$$-\frac{5}{2}\times \frac{4}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{5}{2} ni \frac{4}{3} ga ko‘paytiring.

$$\frac{-5\times 4}{2\times 3}$$

\frac{-5\times 4}{2\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-20}{6}$$

\frac{-20}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Omil

$$-\frac{10}{3} = -3\frac{1}{3} = -3,3333333333333335$$