Agar $\frac{3}{x}=\frac{9}{12}$ bo‘lsa, $x$ ni toping va $x-\frac{1}{4}$ ning qiymatini hisoblang.
- A. $\frac{7}{2}$
- B. $\frac{9}{4}$
- C. $\frac{13}{4}$
- D. $\frac{15}{4}$
Oddiy kasrlar va ular ustida amallar bo‘yicha savol
Javob va yechimni ko‘rish
Javob: $\frac{15}{4}$
Birinchi navbatda $\frac{3}{x}=\frac{9}{12}$ tenglamasini soddalashtiramiz: $\frac{9}{12}= \frac{3}{4}$, shuning uchun $\frac{3}{x}= \frac{3}{4}$. Endi har ikki tomonning sonlarini tenglashtiramiz: $3$ lar bekor bo‘lib, $ \frac{1}{x}= \frac{1}{4}$ bo‘ladi, demak $x=4$. Keyin $x-\frac14$ ni hisoblaymiz: $4-\frac14 = \frac{16}{4}-\frac14 = \frac{15}{4}$. Javob $\displaystyle \frac{15}{4}$, ya’ni variant **D**.
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.$\frac{2}{5}\div\left(\frac{4}{15}\right)+\frac{1}{2}$ ifodasini hisoblang.Kasrni qisqartiring: $\frac{10}{24}$