3/2{(1/4-3/2)div(3/2+frac{1}{6})}= eching

$$\frac { 3 } { 2 } \{ ( \frac { 1 } { 4 } - \frac { 3 } { 2 } ) \div ( \frac { 3 } { 2 } + \frac { 1 } { 6 } ) \} =$$

Baholash

$$-\frac{9}{8}=-1,125$$

Yechim qadamlari

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

$$\frac{3}{2}\times \frac{\frac{1}{4}-\frac{6}{4}}{\frac{3}{2}+\frac{1}{6}}$$

\frac{1}{4} va \frac{6}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3}{2}\times \frac{\frac{1-6}{4}}{\frac{3}{2}+\frac{1}{6}}$$

-5 olish uchun 1 dan 6 ni ayirish.

$$\frac{3}{2}\times \frac{-\frac{5}{4}}{\frac{3}{2}+\frac{1}{6}}$$

2 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{3}{2} va \frac{1}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{2}\times \frac{-\frac{5}{4}}{\frac{9}{6}+\frac{1}{6}}$$

\frac{9}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3}{2}\times \frac{-\frac{5}{4}}{\frac{9+1}{6}}$$

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

$$\frac{3}{2}\times \frac{-\frac{5}{4}}{\frac{10}{6}}$$

\frac{10}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

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

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

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

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

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

$$\frac{3}{2}\times \frac{-15}{20}$$

\frac{-15}{20} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

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

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

\frac{3\left(-3\right)}{2\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-9}{8}$$

\frac{-9}{8} kasri manfiy belgini olib tashlash bilan -\frac{9}{8} sifatida qayta yozilishi mumkin.

$$-\frac{9}{8}$$

Omil

$$-\frac{9}{8} = -1\frac{1}{8} = -1,125$$