(1/2+2/5)div(3/4-1/5) eching

$$( \frac{ 1 }{ 2 } + \frac{ 2 }{ 5 } ) \div ( \frac{ 3 }{ 4 } - \frac{ 1 }{ 5 } )$$

Baholash

$$\frac{18}{11}\approx 1,636363636$$

Yechim qadamlari

2 va 5 ning eng kichik umumiy karralisi 10 ga teng. \frac{1}{2} va \frac{2}{5} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{5}{10}+\frac{4}{10}}{\frac{3}{4}-\frac{1}{5}}$$

\frac{5}{10} va \frac{4}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{5+4}{10}}{\frac{3}{4}-\frac{1}{5}}$$

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

$$\frac{\frac{9}{10}}{\frac{3}{4}-\frac{1}{5}}$$

4 va 5 ning eng kichik umumiy karralisi 20 ga teng. \frac{3}{4} va \frac{1}{5} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{9}{10}}{\frac{15}{20}-\frac{4}{20}}$$

\frac{15}{20} va \frac{4}{20} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{9}{10}}{\frac{15-4}{20}}$$

11 olish uchun 15 dan 4 ni ayirish.

$$\frac{\frac{9}{10}}{\frac{11}{20}}$$

\frac{9}{10} ni \frac{11}{20} ga bo'lish \frac{9}{10} ga k'paytirish \frac{11}{20} ga qaytarish.

$$\frac{9}{10}\times \frac{20}{11}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{10} ni \frac{20}{11} ga ko‘paytiring.

$$\frac{9\times 20}{10\times 11}$$

\frac{9\times 20}{10\times 11} kasridagi ko‘paytirishlarni bajaring.

$$\frac{180}{110}$$

\frac{180}{110} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{18}{11}$$

Omil

$$\frac{2 \cdot 3 ^ {2}}{11} = 1\frac{7}{11} = 1,6363636363636365$$