(3/4+2/1)div(3/1-13/8)-(-frac{11}{6}-(frac{2}{7}+frac{1}{1})div(-frac{5}{14})+frac{1}{30})-(-frac{1}{4}) eching

$$( \frac{ 3 }{ 4 } + \frac{ 2 }{ 1 } ) \div ( \frac{ 3 }{ 1 } - \frac{ 13 }{ 8 } )-(- \frac{ 11 }{ 6 } -( \frac{ 2 }{ 7 } + \frac{ 1 }{ 1 } ) \div (- \frac{ 5 }{ 14 } )+ \frac{ 1 }{ 30 } )-(- \frac{ 1 }{ 4 } )$$

Baholash

$$\frac{9}{20}=0,45$$

Yechim qadamlari

1 ni olish uchun 1 ni 1 ga bo‘ling.

$$\frac{\frac{3}{4}+\frac{2}{1}}{\frac{3}{1}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$\frac{\frac{3}{4}+2}{\frac{3}{1}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

2 ni \frac{8}{4} kasrga o‘giring.

$$\frac{\frac{3}{4}+\frac{8}{4}}{\frac{3}{1}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

\frac{3}{4} va \frac{8}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{3+8}{4}}{\frac{3}{1}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

11 olish uchun 3 va 8'ni qo'shing.

$$\frac{\frac{11}{4}}{\frac{3}{1}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$\frac{\frac{11}{4}}{3-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

3 ni \frac{24}{8} kasrga o‘giring.

$$\frac{\frac{11}{4}}{\frac{24}{8}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

\frac{24}{8} va \frac{13}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{11}{4}}{\frac{24-13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

11 olish uchun 24 dan 13 ni ayirish.

$$\frac{\frac{11}{4}}{\frac{11}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

\frac{11}{4} ni \frac{11}{8} ga bo'lish \frac{11}{4} ga k'paytirish \frac{11}{8} ga qaytarish.

$$\frac{11}{4}\times \frac{8}{11}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{11}{4} ni \frac{8}{11} ga ko‘paytiring.

$$\frac{11\times 8}{4\times 11}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Surat va maxrajdagi ikkala 11 ni qisqartiring.

$$\frac{8}{4}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

2 ni olish uchun 8 ni 4 ga bo‘ling.

$$2-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

1 ni \frac{7}{7} kasrga o‘giring.

$$2-\left(-\frac{11}{6}-\frac{\frac{2}{7}+\frac{7}{7}}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

\frac{2}{7} va \frac{7}{7} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2-\left(-\frac{11}{6}-\frac{\frac{2+7}{7}}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

9 olish uchun 2 va 7'ni qo'shing.

$$2-\left(-\frac{11}{6}-\frac{\frac{9}{7}}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

\frac{9}{7} ni -\frac{5}{14} ga bo'lish \frac{9}{7} ga k'paytirish -\frac{5}{14} ga qaytarish.

$$2-\left(-\frac{11}{6}-\frac{9}{7}\left(-\frac{14}{5}\right)+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{7} ni -\frac{14}{5} ga ko‘paytiring.

$$2-\left(-\frac{11}{6}-\frac{9\left(-14\right)}{7\times 5}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

\frac{9\left(-14\right)}{7\times 5} kasridagi ko‘paytirishlarni bajaring.

$$2-\left(-\frac{11}{6}-\frac{-126}{35}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

\frac{-126}{35} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$2-\left(-\frac{11}{6}-\left(-\frac{18}{5}\right)+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

-\frac{18}{5} ning teskarisi \frac{18}{5} ga teng.

$$2-\left(-\frac{11}{6}+\frac{18}{5}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

6 va 5 ning eng kichik umumiy karralisi 30 ga teng. -\frac{11}{6} va \frac{18}{5} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$2-\left(-\frac{55}{30}+\frac{108}{30}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

-\frac{55}{30} va \frac{108}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2-\left(\frac{-55+108}{30}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

53 olish uchun -55 va 108'ni qo'shing.

$$2-\left(\frac{53}{30}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

\frac{53}{30} va \frac{1}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2-\frac{53+1}{30}-\left(-\frac{1}{4}\right)$$

54 olish uchun 53 va 1'ni qo'shing.

$$2-\frac{54}{30}-\left(-\frac{1}{4}\right)$$

\frac{54}{30} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$2-\frac{9}{5}-\left(-\frac{1}{4}\right)$$

2 ni \frac{10}{5} kasrga o‘giring.

$$\frac{10}{5}-\frac{9}{5}-\left(-\frac{1}{4}\right)$$

\frac{10}{5} va \frac{9}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{10-9}{5}-\left(-\frac{1}{4}\right)$$

1 olish uchun 10 dan 9 ni ayirish.

$$\frac{1}{5}-\left(-\frac{1}{4}\right)$$

-\frac{1}{4} ning teskarisi \frac{1}{4} ga teng.

$$\frac{1}{5}+\frac{1}{4}$$

5 va 4 ning eng kichik umumiy karralisi 20 ga teng. \frac{1}{5} va \frac{1}{4} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{4}{20}+\frac{5}{20}$$

\frac{4}{20} va \frac{5}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{4+5}{20}$$

9 olish uchun 4 va 5'ni qo'shing.

$$\frac{9}{20}$$

Omil

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0,45$$