Baholash
\frac{5}{4}=1,25
Omil
\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1,25
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{3+2}{3}-\frac{3\times 2+1}{2}}{\frac{2\times 5+1}{5}-\frac{3\times 3+2}{3}}
3 hosil qilish uchun 1 va 3 ni ko'paytirish.
\frac{\frac{5}{3}-\frac{3\times 2+1}{2}}{\frac{2\times 5+1}{5}-\frac{3\times 3+2}{3}}
5 olish uchun 3 va 2'ni qo'shing.
\frac{\frac{5}{3}-\frac{6+1}{2}}{\frac{2\times 5+1}{5}-\frac{3\times 3+2}{3}}
6 hosil qilish uchun 3 va 2 ni ko'paytirish.
\frac{\frac{5}{3}-\frac{7}{2}}{\frac{2\times 5+1}{5}-\frac{3\times 3+2}{3}}
7 olish uchun 6 va 1'ni qo'shing.
\frac{\frac{10}{6}-\frac{21}{6}}{\frac{2\times 5+1}{5}-\frac{3\times 3+2}{3}}
3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{3} va \frac{7}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.
\frac{\frac{10-21}{6}}{\frac{2\times 5+1}{5}-\frac{3\times 3+2}{3}}
\frac{10}{6} va \frac{21}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{-\frac{11}{6}}{\frac{2\times 5+1}{5}-\frac{3\times 3+2}{3}}
-11 olish uchun 10 dan 21 ni ayirish.
\frac{-\frac{11}{6}}{\frac{10+1}{5}-\frac{3\times 3+2}{3}}
10 hosil qilish uchun 2 va 5 ni ko'paytirish.
\frac{-\frac{11}{6}}{\frac{11}{5}-\frac{3\times 3+2}{3}}
11 olish uchun 10 va 1'ni qo'shing.
\frac{-\frac{11}{6}}{\frac{11}{5}-\frac{9+2}{3}}
9 hosil qilish uchun 3 va 3 ni ko'paytirish.
\frac{-\frac{11}{6}}{\frac{11}{5}-\frac{11}{3}}
11 olish uchun 9 va 2'ni qo'shing.
\frac{-\frac{11}{6}}{\frac{33}{15}-\frac{55}{15}}
5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{11}{5} va \frac{11}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.
\frac{-\frac{11}{6}}{\frac{33-55}{15}}
\frac{33}{15} va \frac{55}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{-\frac{11}{6}}{-\frac{22}{15}}
-22 olish uchun 33 dan 55 ni ayirish.
-\frac{11}{6}\left(-\frac{15}{22}\right)
-\frac{11}{6} ni -\frac{22}{15} ga bo'lish -\frac{11}{6} ga k'paytirish -\frac{22}{15} ga qaytarish.
\frac{-11\left(-15\right)}{6\times 22}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{11}{6} ni -\frac{15}{22} ga ko‘paytiring.
\frac{165}{132}
\frac{-11\left(-15\right)}{6\times 22} kasridagi ko‘paytirishlarni bajaring.
\frac{5}{4}
\frac{165}{132} ulushini 33 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
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}