Baholash
\frac{21}{4}=5,25
Omil
\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5,25
Baham ko'rish
Klipbordga nusxa olish
\left(\frac{5}{40}+\frac{16}{40}\right)\times \frac{\frac{5}{2}}{\frac{1}{4}}
8 va 5 ning eng kichik umumiy karralisi 40 ga teng. \frac{1}{8} va \frac{2}{5} ni 40 maxraj bilan kasrlarga aylantirib oling.
\frac{5+16}{40}\times \frac{\frac{5}{2}}{\frac{1}{4}}
\frac{5}{40} va \frac{16}{40} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{21}{40}\times \frac{\frac{5}{2}}{\frac{1}{4}}
21 olish uchun 5 va 16'ni qo'shing.
\frac{21}{40}\times \frac{5}{2}\times 4
\frac{5}{2} ni \frac{1}{4} ga bo'lish \frac{5}{2} ga k'paytirish \frac{1}{4} ga qaytarish.
\frac{21}{40}\times \frac{5\times 4}{2}
\frac{5}{2}\times 4 ni yagona kasrga aylantiring.
\frac{21}{40}\times \frac{20}{2}
20 hosil qilish uchun 5 va 4 ni ko'paytirish.
\frac{21}{40}\times 10
10 ni olish uchun 20 ni 2 ga bo‘ling.
\frac{21\times 10}{40}
\frac{21}{40}\times 10 ni yagona kasrga aylantiring.
\frac{210}{40}
210 hosil qilish uchun 21 va 10 ni ko'paytirish.
\frac{21}{4}
\frac{210}{40} ulushini 10 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}