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

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

Baholash

$$-\frac{2}{9}\approx -0,222222222$$

Yechim qadamlari

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

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

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

$$\frac{\frac{1}{6}+\frac{-6}{12}}{\frac{1}{3}-\left(-\frac{1\times 6+1}{6}\right)}$$

\frac{-6}{12} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

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

$$\frac{\frac{1}{6}-\frac{3}{6}}{\frac{1}{3}-\left(-\frac{1\times 6+1}{6}\right)}$$

\frac{1}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{1-3}{6}}{\frac{1}{3}-\left(-\frac{1\times 6+1}{6}\right)}$$

-2 olish uchun 1 dan 3 ni ayirish.

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

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

$$\frac{-\frac{1}{3}}{\frac{1}{3}-\left(-\frac{1\times 6+1}{6}\right)}$$

6 hosil qilish uchun 1 va 6 ni ko'paytirish.

$$\frac{-\frac{1}{3}}{\frac{1}{3}-\left(-\frac{6+1}{6}\right)}$$

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

$$\frac{-\frac{1}{3}}{\frac{1}{3}-\left(-\frac{7}{6}\right)}$$

-\frac{7}{6} ning teskarisi \frac{7}{6} ga teng.

$$\frac{-\frac{1}{3}}{\frac{1}{3}+\frac{7}{6}}$$

3 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{7}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{-\frac{1}{3}}{\frac{2}{6}+\frac{7}{6}}$$

\frac{2}{6} va \frac{7}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-\frac{1}{3}}{\frac{2+7}{6}}$$

9 olish uchun 2 va 7'ni qo'shing.

$$\frac{-\frac{1}{3}}{\frac{9}{6}}$$

\frac{9}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-\frac{1}{3}}{\frac{3}{2}}$$

-\frac{1}{3} ni \frac{3}{2} ga bo'lish -\frac{1}{3} ga k'paytirish \frac{3}{2} ga qaytarish.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{3} ni \frac{2}{3} ga ko‘paytiring.

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

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

$$\frac{-2}{9}$$

\frac{-2}{9} kasri manfiy belgini olib tashlash bilan -\frac{2}{9} sifatida qayta yozilishi mumkin.

$$-\frac{2}{9}$$

Omil

$$-\frac{2}{9} = -0,2222222222222222$$