11/2+{1/4+(-2/3)}div{-5/8*(-frac{4}{9})} eching

$$1 \frac { 1 } { 2 } + \{ \frac { 1 } { 4 } + ( - \frac { 2 } { 3 } ) \} \div \{ - \frac { 5 } { 8 } \times ( - \frac { 4 } { 9 } ) \}$$

Baholash

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Yechim qadamlari

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\frac{2+1}{2}+\frac{\frac{1}{4}-\frac{2}{3}}{-\frac{5}{8}\left(-\frac{4}{9}\right)}$$

3 olish uchun 2 va 1'ni qo'shing.

$$\frac{3}{2}+\frac{\frac{1}{4}-\frac{2}{3}}{-\frac{5}{8}\left(-\frac{4}{9}\right)}$$

4 va 3 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{4} va \frac{2}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{2}+\frac{\frac{3}{12}-\frac{8}{12}}{-\frac{5}{8}\left(-\frac{4}{9}\right)}$$

\frac{3}{12} va \frac{8}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3}{2}+\frac{\frac{3-8}{12}}{-\frac{5}{8}\left(-\frac{4}{9}\right)}$$

-5 olish uchun 3 dan 8 ni ayirish.

$$\frac{3}{2}+\frac{-\frac{5}{12}}{-\frac{5}{8}\left(-\frac{4}{9}\right)}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{5}{8} ni -\frac{4}{9} ga ko‘paytiring.

$$\frac{3}{2}+\frac{-\frac{5}{12}}{\frac{-5\left(-4\right)}{8\times 9}}$$

\frac{-5\left(-4\right)}{8\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{3}{2}+\frac{-\frac{5}{12}}{\frac{20}{72}}$$

\frac{20}{72} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{2}+\frac{-\frac{5}{12}}{\frac{5}{18}}$$

-\frac{5}{12} ni \frac{5}{18} ga bo'lish -\frac{5}{12} ga k'paytirish \frac{5}{18} ga qaytarish.

$$\frac{3}{2}-\frac{5}{12}\times \frac{18}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{5}{12} ni \frac{18}{5} ga ko‘paytiring.

$$\frac{3}{2}+\frac{-5\times 18}{12\times 5}$$

\frac{-5\times 18}{12\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{3}{2}+\frac{-90}{60}$$

\frac{-90}{60} ulushini 30 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

0 olish uchun \frac{3}{2} dan \frac{3}{2} ni ayirish.

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Omil

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