Baholash
\frac{23p}{98q}
Kengaytirish
\frac{23p}{98q}
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{5pp}{2q\times 3}+\frac{p^{2}}{8q}}{4p+\frac{p}{12}}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5p}{2q} ni \frac{p}{3} ga ko‘paytiring.
\frac{\frac{4\times 5pp}{24q}+\frac{3p^{2}}{24q}}{4p+\frac{p}{12}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2q\times 3 va 8q ning eng kichik umumiy karralisi 24q. \frac{5pp}{2q\times 3} ni \frac{4}{4} marotabaga ko'paytirish. \frac{p^{2}}{8q} ni \frac{3}{3} marotabaga ko'paytirish.
\frac{\frac{4\times 5pp+3p^{2}}{24q}}{4p+\frac{p}{12}}
\frac{4\times 5pp}{24q} va \frac{3p^{2}}{24q} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{20p^{2}+3p^{2}}{24q}}{4p+\frac{p}{12}}
4\times 5pp+3p^{2} ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{23p^{2}}{24q}}{4p+\frac{p}{12}}
20p^{2}+3p^{2} kabi iboralarga o‘xshab birlashtiring.
\frac{\frac{23p^{2}}{24q}}{\frac{49}{12}p}
\frac{49}{12}p ni olish uchun 4p va \frac{p}{12} ni birlashtirish.
\frac{23p^{2}}{24q\times \frac{49}{12}p}
\frac{\frac{23p^{2}}{24q}}{\frac{49}{12}p} ni yagona kasrga aylantiring.
\frac{23p}{\frac{49}{12}\times 24q}
Surat va maxrajdagi ikkala p ni qisqartiring.
\frac{23p}{98q}
98 hosil qilish uchun \frac{49}{12} va 24 ni ko'paytirish.
\frac{\frac{5pp}{2q\times 3}+\frac{p^{2}}{8q}}{4p+\frac{p}{12}}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5p}{2q} ni \frac{p}{3} ga ko‘paytiring.
\frac{\frac{4\times 5pp}{24q}+\frac{3p^{2}}{24q}}{4p+\frac{p}{12}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2q\times 3 va 8q ning eng kichik umumiy karralisi 24q. \frac{5pp}{2q\times 3} ni \frac{4}{4} marotabaga ko'paytirish. \frac{p^{2}}{8q} ni \frac{3}{3} marotabaga ko'paytirish.
\frac{\frac{4\times 5pp+3p^{2}}{24q}}{4p+\frac{p}{12}}
\frac{4\times 5pp}{24q} va \frac{3p^{2}}{24q} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{20p^{2}+3p^{2}}{24q}}{4p+\frac{p}{12}}
4\times 5pp+3p^{2} ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{23p^{2}}{24q}}{4p+\frac{p}{12}}
20p^{2}+3p^{2} kabi iboralarga o‘xshab birlashtiring.
\frac{\frac{23p^{2}}{24q}}{\frac{49}{12}p}
\frac{49}{12}p ni olish uchun 4p va \frac{p}{12} ni birlashtirish.
\frac{23p^{2}}{24q\times \frac{49}{12}p}
\frac{\frac{23p^{2}}{24q}}{\frac{49}{12}p} ni yagona kasrga aylantiring.
\frac{23p}{\frac{49}{12}\times 24q}
Surat va maxrajdagi ikkala p ni qisqartiring.
\frac{23p}{98q}
98 hosil qilish uchun \frac{49}{12} va 24 ni ko'paytirish.
Misollar
Ikkilik tenglama
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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}