$\frac{2}{5}\div\left(\frac{4}{15}\right)+\frac{1}{2}$ ifodasini hisoblang.
- A. $\frac{3}{2}$
- B. $\frac{5}{2}$
- C. $\frac{7}{4}$
- D. $2$
Oddiy kasrlar va ular ustida amallar bo‘yicha savol
Javob va yechimni ko‘rish
Javob: $2$
Amallarni bajarish tartibiga ko'ra, avval bo'lish, so'ngra qo'shish amali bajariladi. Kasrni kasrga bo'lish uchun birinchi kasrni ikkinchi kasrning teskarisiga ko'paytiramiz: $\frac{2}{5}\div\frac{4}{15} = \frac{2}{5}\times\frac{15}{4}$. Ko'paytirishni bajarib va tegishli sonlarni qisqartirib, $\frac{2\times15}{5\times4} = \frac{3}{2}$ natijani olamiz. Endi hosil bo'lgan kasrga $\frac{1}{2}$ ni qo'shamiz: $\frac{3}{2}+\frac{1}{2} = \frac{4}{2}$. Kasr suratini maxrajiga bo'lsak, $\frac{4}{2} = 2$ hosil bo'ladi. To'g'ri javob: D) $2$.
Mavzuni mustahkamlang
Bu savol Oddiy kasrlar va ular ustida amallar mavzusiga tegishli. Ta’riflar, formulalar va misollarni mavzu sahifasida ko‘ring.
Mavzuni o‘rganishShu mavzudagi boshqa savollar
$\frac{3}{4}+\frac{5}{6}-\frac{2}{3}$ ifodasini soddalashtiring.$\frac{7}{9}\times\frac{3}{14}$ ni hisoblang va soddalashtiring.$\frac{x}{5}-\frac{2}{3}=\frac{1}{15}$ tenglamasida $x$ ni toping.Agar $\frac{3}{x}=\frac{9}{12}$ bo‘lsa, $x$ ni toping va $x-\frac{1}{4}$ ning qiymatini hisoblang.Kasrni qisqartiring: $\frac{10}{24}$