(-9/16)*(-31/3)+8/13div(-12/13) eching

$$( - \frac { 9 } { 16 } ) \times ( - 3 \frac { 1 } { 3 } ) + \frac { 8 } { 13 } \div ( - \frac { 12 } { 13 } )$$

Baholash

$$\frac{29}{24}\approx 1,208333333$$

Yechim qadamlari

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

$$-\frac{9}{16}\left(-\frac{9+1}{3}\right)+\frac{\frac{8}{13}}{-\frac{12}{13}}$$

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

$$-\frac{9}{16}\left(-\frac{10}{3}\right)+\frac{\frac{8}{13}}{-\frac{12}{13}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{9}{16} ni -\frac{10}{3} ga ko‘paytiring.

$$\frac{-9\left(-10\right)}{16\times 3}+\frac{\frac{8}{13}}{-\frac{12}{13}}$$

\frac{-9\left(-10\right)}{16\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{90}{48}+\frac{\frac{8}{13}}{-\frac{12}{13}}$$

\frac{90}{48} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{15}{8}+\frac{\frac{8}{13}}{-\frac{12}{13}}$$

\frac{8}{13} ni -\frac{12}{13} ga bo'lish \frac{8}{13} ga k'paytirish -\frac{12}{13} ga qaytarish.

$$\frac{15}{8}+\frac{8}{13}\left(-\frac{13}{12}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{13} ni -\frac{13}{12} ga ko‘paytiring.

$$\frac{15}{8}+\frac{8\left(-13\right)}{13\times 12}$$

\frac{8\left(-13\right)}{13\times 12} kasridagi ko‘paytirishlarni bajaring.

$$\frac{15}{8}+\frac{-104}{156}$$

\frac{-104}{156} ulushini 52 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{15}{8}-\frac{2}{3}$$

8 va 3 ning eng kichik umumiy karralisi 24 ga teng. \frac{15}{8} va \frac{2}{3} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{45}{24}-\frac{16}{24}$$

\frac{45}{24} va \frac{16}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{45-16}{24}$$

29 olish uchun 45 dan 16 ni ayirish.

$$\frac{29}{24}$$

Omil

$$\frac{29}{2 ^ {3} \cdot 3} = 1\frac{5}{24} = 1,2083333333333333$$