[(3/4-1/2)div4/3+1]div(-3/4+frac{1}{3})frac{3}{2} eching

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

Baholash

$$-\frac{171}{40}=-4,275$$

Yechim qadamlari

4 va 2 ning eng kichik umumiy karralisi 4 ga teng. \frac{3}{4} va \frac{1}{2} ni 4 maxraj bilan kasrlarga aylantirib oling.

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

\frac{3}{4} va \frac{2}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

1 olish uchun 3 dan 2 ni ayirish.

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

\frac{1}{4} ni \frac{4}{3} ga bo'lish \frac{1}{4} ga k'paytirish \frac{4}{3} ga qaytarish.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{4} ni \frac{3}{4} ga ko‘paytiring.

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

\frac{1\times 3}{4\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{3}{16}+1}{-\frac{3}{4}+\frac{1}{3}}\times \frac{3}{2}$$

1 ni \frac{16}{16} kasrga o‘giring.

$$\frac{\frac{3}{16}+\frac{16}{16}}{-\frac{3}{4}+\frac{1}{3}}\times \frac{3}{2}$$

\frac{3}{16} va \frac{16}{16} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{3+16}{16}}{-\frac{3}{4}+\frac{1}{3}}\times \frac{3}{2}$$

19 olish uchun 3 va 16'ni qo'shing.

$$\frac{\frac{19}{16}}{-\frac{3}{4}+\frac{1}{3}}\times \frac{3}{2}$$

4 va 3 ning eng kichik umumiy karralisi 12 ga teng. -\frac{3}{4} va \frac{1}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{19}{16}}{-\frac{9}{12}+\frac{4}{12}}\times \frac{3}{2}$$

-\frac{9}{12} va \frac{4}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{19}{16}}{\frac{-9+4}{12}}\times \frac{3}{2}$$

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

$$\frac{\frac{19}{16}}{-\frac{5}{12}}\times \frac{3}{2}$$

\frac{19}{16} ni -\frac{5}{12} ga bo'lish \frac{19}{16} ga k'paytirish -\frac{5}{12} ga qaytarish.

$$\frac{19}{16}\left(-\frac{12}{5}\right)\times \frac{3}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{19}{16} ni -\frac{12}{5} ga ko‘paytiring.

$$\frac{19\left(-12\right)}{16\times 5}\times \frac{3}{2}$$

\frac{19\left(-12\right)}{16\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-228}{80}\times \frac{3}{2}$$

\frac{-228}{80} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{57}{20}\times \frac{3}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{57}{20} ni \frac{3}{2} ga ko‘paytiring.

$$\frac{-57\times 3}{20\times 2}$$

\frac{-57\times 3}{20\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-171}{40}$$

\frac{-171}{40} kasri manfiy belgini olib tashlash bilan -\frac{171}{40} sifatida qayta yozilishi mumkin.

$$-\frac{171}{40}$$

Omil

$$-\frac{171}{40} = -4\frac{11}{40} = -4,275$$