$\frac{7}{9}\times\frac{3}{14}$ ni hisoblang va soddalashtiring.
- A. $\frac{1}{6}$
- B. $\frac{3}{42}$
- C. $\frac{2}{9}$
- D. $\frac{7}{54}$
Oddiy kasrlar va ular ustida amallar bo‘yicha savol
Javob va yechimni ko‘rish
Javob: $\frac{1}{6}$
Kasrlarni ko‘paytirishda sonlarni (numerator) bir-biriga, maxrajlarni (denominator) bir-biriga ko‘paytiramiz:
\[
\frac{7}{9}\times\frac{3}{14}= \frac{7\cdot 3}{9\cdot 14}= \frac{21}{126}.
\]
Keyin hosil bo‘lgan kasrni soddalashtiramiz. 21 va 126 ning eng katta umumiy bo‘luvchisi $21$ ga teng, shuning uchun son va maxrajni $21$ ga bo‘lamiz:
\[
\frac{21\div 21}{126\div 21}= \frac{1}{6}.
\]
Demak, natija $\displaystyle \frac{1}{6}$ bo‘lib, bu A javobiga mos keladi.
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.$\frac{x}{5}-\frac{2}{3}=\frac{1}{15}$ tenglamasida $x$ ni toping.$\frac{2}{5}\div\left(\frac{4}{15}\right)+\frac{1}{2}$ ifodasini hisoblang.Agar $\frac{3}{x}=\frac{9}{12}$ bo‘lsa, $x$ ni toping va $x-\frac{1}{4}$ ning qiymatini hisoblang.Kasrni qisqartiring: $\frac{10}{24}$