2+1/3/7+1-frac{1/4/3}{frac{frac{1}{2}}{frac{1}{4}}-frac{frac{1}{4}}{frac{3}{5}}}left(frac{2}{7}+frac{4}{19}right) eching

$$\frac{ \frac{ 2+ \frac{ 1 }{ 3 } }{ 7 } + \frac{ 1- \frac{ 1 }{ 4 } }{ 3 } }{ \frac{ \frac{ 1 }{ 2 } }{ \frac{ 1 }{ 4 } } - \frac{ \frac{ 1 }{ 4 } }{ \frac{ 3 }{ 5 } } } \left( \frac{ 2 }{ 7 } + \frac{ 4 }{ 19 } \right)$$

Baholash

$$\frac{66}{361}\approx 0,182825485$$

Yechim qadamlari

2 ni \frac{6}{3} kasrga o‘giring.

$$\frac{\frac{\frac{6}{3}+\frac{1}{3}}{7}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

\frac{6}{3} va \frac{1}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{\frac{6+1}{3}}{7}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

7 olish uchun 6 va 1'ni qo'shing.

$$\frac{\frac{\frac{7}{3}}{7}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

\frac{\frac{7}{3}}{7} ni yagona kasrga aylantiring.

$$\frac{\frac{7}{3\times 7}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Surat va maxrajdagi ikkala 7 ni qisqartiring.

$$\frac{\frac{1}{3}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

1 ni \frac{4}{4} kasrga o‘giring.

$$\frac{\frac{1}{3}+\frac{\frac{4}{4}-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

\frac{4}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{1}{3}+\frac{\frac{4-1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

3 olish uchun 4 dan 1 ni ayirish.

$$\frac{\frac{1}{3}+\frac{\frac{3}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

\frac{\frac{3}{4}}{3} ni yagona kasrga aylantiring.

$$\frac{\frac{1}{3}+\frac{3}{4\times 3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{\frac{1}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{3} va \frac{1}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{4}{12}+\frac{3}{12}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

\frac{4}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{4+3}{12}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

7 olish uchun 4 va 3'ni qo'shing.

$$\frac{\frac{7}{12}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

\frac{1}{2} ni \frac{1}{4} ga bo'lish \frac{1}{2} ga k'paytirish \frac{1}{4} ga qaytarish.

$$\frac{\frac{7}{12}}{\frac{1}{2}\times 4-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

\frac{4}{2} hosil qilish uchun \frac{1}{2} va 4 ni ko'paytirish.

$$\frac{\frac{7}{12}}{\frac{4}{2}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$\frac{\frac{7}{12}}{2-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

\frac{1}{4} ni \frac{3}{5} ga bo'lish \frac{1}{4} ga k'paytirish \frac{3}{5} ga qaytarish.

$$\frac{\frac{7}{12}}{2-\frac{1}{4}\times \frac{5}{3}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{4} ni \frac{5}{3} ga ko‘paytiring.

$$\frac{\frac{7}{12}}{2-\frac{1\times 5}{4\times 3}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

\frac{1\times 5}{4\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{7}{12}}{2-\frac{5}{12}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

2 ni \frac{24}{12} kasrga o‘giring.

$$\frac{\frac{7}{12}}{\frac{24}{12}-\frac{5}{12}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

\frac{24}{12} va \frac{5}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{7}{12}}{\frac{24-5}{12}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

19 olish uchun 24 dan 5 ni ayirish.

$$\frac{\frac{7}{12}}{\frac{19}{12}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

\frac{7}{12} ni \frac{19}{12} ga bo'lish \frac{7}{12} ga k'paytirish \frac{19}{12} ga qaytarish.

$$\frac{7}{12}\times \frac{12}{19}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{12} ni \frac{12}{19} ga ko‘paytiring.

$$\frac{7\times 12}{12\times 19}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Surat va maxrajdagi ikkala 12 ni qisqartiring.

$$\frac{7}{19}\left(\frac{2}{7}+\frac{4}{19}\right)$$

7 va 19 ning eng kichik umumiy karralisi 133 ga teng. \frac{2}{7} va \frac{4}{19} ni 133 maxraj bilan kasrlarga aylantirib oling.

$$\frac{7}{19}\left(\frac{38}{133}+\frac{28}{133}\right)$$

\frac{38}{133} va \frac{28}{133} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7}{19}\times \frac{38+28}{133}$$

66 olish uchun 38 va 28'ni qo'shing.

$$\frac{7}{19}\times \frac{66}{133}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{19} ni \frac{66}{133} ga ko‘paytiring.

$$\frac{7\times 66}{19\times 133}$$

\frac{7\times 66}{19\times 133} kasridagi ko‘paytirishlarni bajaring.

$$\frac{462}{2527}$$

\frac{462}{2527} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{66}{361}$$

Omil

$$\frac{2 \cdot 3 \cdot 11}{19 ^ {2}} = 0,18282548476454294$$