[(5/6-1/4)div11/3]*(-2/3) eching

$$[ ( \frac { 5 } { 6 } - \frac { 1 } { 4 } ) \div 1 \frac { 1 } { 3 } ] \times ( - \frac { 2 } { 3 } )$$

Baholash

$$-\frac{7}{24}\approx -0,291666667$$

Yechim qadamlari

6 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{5}{6} va \frac{1}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{10}{12}-\frac{3}{12}}{\frac{1\times 3+1}{3}}\left(-\frac{2}{3}\right)$$

\frac{10}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{10-3}{12}}{\frac{1\times 3+1}{3}}\left(-\frac{2}{3}\right)$$

7 olish uchun 10 dan 3 ni ayirish.

$$\frac{\frac{7}{12}}{\frac{1\times 3+1}{3}}\left(-\frac{2}{3}\right)$$

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

$$\frac{\frac{7}{12}}{\frac{3+1}{3}}\left(-\frac{2}{3}\right)$$

4 olish uchun 3 va 1'ni qo'shing.

$$\frac{\frac{7}{12}}{\frac{4}{3}}\left(-\frac{2}{3}\right)$$

\frac{7}{12} ni \frac{4}{3} ga bo'lish \frac{7}{12} ga k'paytirish \frac{4}{3} ga qaytarish.

$$\frac{7}{12}\times \frac{3}{4}\left(-\frac{2}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{12} ni \frac{3}{4} ga ko‘paytiring.

$$\frac{7\times 3}{12\times 4}\left(-\frac{2}{3}\right)$$

\frac{7\times 3}{12\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{21}{48}\left(-\frac{2}{3}\right)$$

\frac{21}{48} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{16}\left(-\frac{2}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{16} ni -\frac{2}{3} ga ko‘paytiring.

$$\frac{7\left(-2\right)}{16\times 3}$$

\frac{7\left(-2\right)}{16\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-14}{48}$$

\frac{-14}{48} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{7}{24}$$

Omil

$$-\frac{7}{24} = -0,2916666666666667$$