Baholash
\frac{162}{25}=6,48
Omil
\frac{2 \cdot 3 ^ {4}}{5 ^ {2}} = 6\frac{12}{25} = 6,48
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{27\times 5}{3}}{125}\times \frac{-4}{3}\times 9\times \frac{-3}{2}
27\times \frac{5}{3} ni yagona kasrga aylantiring.
\frac{\frac{135}{3}}{125}\times \frac{-4}{3}\times 9\times \frac{-3}{2}
135 hosil qilish uchun 27 va 5 ni ko'paytirish.
\frac{45}{125}\times \frac{-4}{3}\times 9\times \frac{-3}{2}
45 ni olish uchun 135 ni 3 ga bo‘ling.
\frac{9}{25}\times \frac{-4}{3}\times 9\times \frac{-3}{2}
\frac{45}{125} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\frac{9}{25}\left(-\frac{4}{3}\right)\times 9\times \frac{-3}{2}
\frac{-4}{3} kasri manfiy belgini olib tashlash bilan -\frac{4}{3} sifatida qayta yozilishi mumkin.
\frac{9\left(-4\right)}{25\times 3}\times 9\times \frac{-3}{2}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{25} ni -\frac{4}{3} ga ko‘paytiring.
\frac{-36}{75}\times 9\times \frac{-3}{2}
\frac{9\left(-4\right)}{25\times 3} kasridagi ko‘paytirishlarni bajaring.
-\frac{12}{25}\times 9\times \frac{-3}{2}
\frac{-36}{75} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\frac{-12\times 9}{25}\times \frac{-3}{2}
-\frac{12}{25}\times 9 ni yagona kasrga aylantiring.
\frac{-108}{25}\times \frac{-3}{2}
-108 hosil qilish uchun -12 va 9 ni ko'paytirish.
-\frac{108}{25}\times \frac{-3}{2}
\frac{-108}{25} kasri manfiy belgini olib tashlash bilan -\frac{108}{25} sifatida qayta yozilishi mumkin.
-\frac{108}{25}\left(-\frac{3}{2}\right)
\frac{-3}{2} kasri manfiy belgini olib tashlash bilan -\frac{3}{2} sifatida qayta yozilishi mumkin.
\frac{-108\left(-3\right)}{25\times 2}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{108}{25} ni -\frac{3}{2} ga ko‘paytiring.
\frac{324}{50}
\frac{-108\left(-3\right)}{25\times 2} kasridagi ko‘paytirishlarni bajaring.
\frac{162}{25}
\frac{324}{50} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
Misollar
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}