2/5+3/2/frac{9{2}*4}-5/8*frac{4}{15} eching

$$\frac{ \frac{ 2 }{ 5 } + \frac{ 3 }{ 2 } }{ \frac{ 9 }{ 2 } \times 4 } - \frac{ 5 }{ 8 } \times \frac{ 4 }{ 15 }$$

Baholash

$$-\frac{11}{180}\approx -0,061111111$$

Yechim qadamlari

5 va 2 ning eng kichik umumiy karralisi 10 ga teng. \frac{2}{5} va \frac{3}{2} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{4}{10}+\frac{15}{10}}{\frac{9}{2}\times 4}-\frac{5}{8}\times \frac{4}{15}$$

\frac{4}{10} va \frac{15}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{4+15}{10}}{\frac{9}{2}\times 4}-\frac{5}{8}\times \frac{4}{15}$$

19 olish uchun 4 va 15'ni qo'shing.

$$\frac{\frac{19}{10}}{\frac{9}{2}\times 4}-\frac{5}{8}\times \frac{4}{15}$$

\frac{9}{2}\times 4 ni yagona kasrga aylantiring.

$$\frac{\frac{19}{10}}{\frac{9\times 4}{2}}-\frac{5}{8}\times \frac{4}{15}$$

36 hosil qilish uchun 9 va 4 ni ko'paytirish.

$$\frac{\frac{19}{10}}{\frac{36}{2}}-\frac{5}{8}\times \frac{4}{15}$$

18 ni olish uchun 36 ni 2 ga bo‘ling.

$$\frac{\frac{19}{10}}{18}-\frac{5}{8}\times \frac{4}{15}$$

\frac{\frac{19}{10}}{18} ni yagona kasrga aylantiring.

$$\frac{19}{10\times 18}-\frac{5}{8}\times \frac{4}{15}$$

180 hosil qilish uchun 10 va 18 ni ko'paytirish.

$$\frac{19}{180}-\frac{5}{8}\times \frac{4}{15}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{8} ni \frac{4}{15} ga ko‘paytiring.

$$\frac{19}{180}-\frac{5\times 4}{8\times 15}$$

\frac{5\times 4}{8\times 15} kasridagi ko‘paytirishlarni bajaring.

$$\frac{19}{180}-\frac{20}{120}$$

\frac{20}{120} ulushini 20 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{19}{180}-\frac{1}{6}$$

180 va 6 ning eng kichik umumiy karralisi 180 ga teng. \frac{19}{180} va \frac{1}{6} ni 180 maxraj bilan kasrlarga aylantirib oling.

$$\frac{19}{180}-\frac{30}{180}$$

\frac{19}{180} va \frac{30}{180} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{19-30}{180}$$

-11 olish uchun 19 dan 30 ni ayirish.

$$-\frac{11}{180}$$

Omil

$$-\frac{11}{180} = -0,06111111111111111$$