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\frac{1}{2}+3=\frac{6}{5}+\frac{4}{9}\left(-\frac{3}{8}\right)-1
-3 ning teskarisi 3 ga teng.
\frac{1}{2}+\frac{6}{2}=\frac{6}{5}+\frac{4}{9}\left(-\frac{3}{8}\right)-1
3 ni \frac{6}{2} kasrga o‘giring.
\frac{1+6}{2}=\frac{6}{5}+\frac{4}{9}\left(-\frac{3}{8}\right)-1
\frac{1}{2} va \frac{6}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{7}{2}=\frac{6}{5}+\frac{4}{9}\left(-\frac{3}{8}\right)-1
7 olish uchun 1 va 6'ni qo'shing.
\frac{7}{2}=\frac{6}{5}+\frac{4\left(-3\right)}{9\times 8}-1
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{9} ni -\frac{3}{8} ga ko‘paytiring.
\frac{7}{2}=\frac{6}{5}+\frac{-12}{72}-1
\frac{4\left(-3\right)}{9\times 8} kasridagi ko‘paytirishlarni bajaring.
\frac{7}{2}=\frac{6}{5}-\frac{1}{6}-1
\frac{-12}{72} ulushini 12 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\frac{7}{2}=\frac{36}{30}-\frac{5}{30}-1
5 va 6 ning eng kichik umumiy karralisi 30 ga teng. \frac{6}{5} va \frac{1}{6} ni 30 maxraj bilan kasrlarga aylantirib oling.
\frac{7}{2}=\frac{36-5}{30}-1
\frac{36}{30} va \frac{5}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{7}{2}=\frac{31}{30}-1
31 olish uchun 36 dan 5 ni ayirish.
\frac{7}{2}=\frac{31}{30}-\frac{30}{30}
1 ni \frac{30}{30} kasrga o‘giring.
\frac{7}{2}=\frac{31-30}{30}
\frac{31}{30} va \frac{30}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{7}{2}=\frac{1}{30}
1 olish uchun 31 dan 30 ni ayirish.
\frac{105}{30}=\frac{1}{30}
2 va 30 ning eng kichik umumiy karralisi 30 ga teng. \frac{7}{2} va \frac{1}{30} ni 30 maxraj bilan kasrlarga aylantirib oling.
\text{false}
\frac{105}{30} va \frac{1}{30} ni taqqoslang.