3/4+40/frac{42{51}+7/frac{10{7}-4/35}}= eching

$$\frac{ 3 }{ 4 } + \frac{ 40 }{ \frac{ 42 }{ 51 } + \frac{ 7 }{ \frac{ 10 }{ 7 } - \frac{ 4 }{ 35 } } } =$$

Baholash

$$\frac{139547}{19236}\approx 7,254470784$$

Yechim qadamlari

\frac{42}{51} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{4}+\frac{40}{\frac{14}{17}+\frac{7}{\frac{10}{7}-\frac{4}{35}}}$$

7 va 35 ning eng kichik umumiy karralisi 35 ga teng. \frac{10}{7} va \frac{4}{35} ni 35 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{4}+\frac{40}{\frac{14}{17}+\frac{7}{\frac{50}{35}-\frac{4}{35}}}$$

\frac{50}{35} va \frac{4}{35} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3}{4}+\frac{40}{\frac{14}{17}+\frac{7}{\frac{50-4}{35}}}$$

46 olish uchun 50 dan 4 ni ayirish.

$$\frac{3}{4}+\frac{40}{\frac{14}{17}+\frac{7}{\frac{46}{35}}}$$

7 ni \frac{46}{35} ga bo'lish 7 ga k'paytirish \frac{46}{35} ga qaytarish.

$$\frac{3}{4}+\frac{40}{\frac{14}{17}+7\times \frac{35}{46}}$$

7\times \frac{35}{46} ni yagona kasrga aylantiring.

$$\frac{3}{4}+\frac{40}{\frac{14}{17}+\frac{7\times 35}{46}}$$

245 hosil qilish uchun 7 va 35 ni ko'paytirish.

$$\frac{3}{4}+\frac{40}{\frac{14}{17}+\frac{245}{46}}$$

17 va 46 ning eng kichik umumiy karralisi 782 ga teng. \frac{14}{17} va \frac{245}{46} ni 782 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{4}+\frac{40}{\frac{644}{782}+\frac{4165}{782}}$$

\frac{644}{782} va \frac{4165}{782} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3}{4}+\frac{40}{\frac{644+4165}{782}}$$

4809 olish uchun 644 va 4165'ni qo'shing.

$$\frac{3}{4}+\frac{40}{\frac{4809}{782}}$$

40 ni \frac{4809}{782} ga bo'lish 40 ga k'paytirish \frac{4809}{782} ga qaytarish.

$$\frac{3}{4}+40\times \frac{782}{4809}$$

40\times \frac{782}{4809} ni yagona kasrga aylantiring.

$$\frac{3}{4}+\frac{40\times 782}{4809}$$

31280 hosil qilish uchun 40 va 782 ni ko'paytirish.

$$\frac{3}{4}+\frac{31280}{4809}$$

4 va 4809 ning eng kichik umumiy karralisi 19236 ga teng. \frac{3}{4} va \frac{31280}{4809} ni 19236 maxraj bilan kasrlarga aylantirib oling.

$$\frac{14427}{19236}+\frac{125120}{19236}$$

\frac{14427}{19236} va \frac{125120}{19236} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{14427+125120}{19236}$$

139547 olish uchun 14427 va 125120'ni qo'shing.

$$\frac{139547}{19236}$$

Omil

$$\frac{139547}{2 ^ {2} \cdot 3 \cdot 7 \cdot 229} = 7\frac{4895}{19236} = 7,254470783946767$$