1/5--4left(5/4--3/5right)+5/3 eching

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

Baholash

$$\frac{139}{15}\approx 9,266666667$$

Yechim qadamlari

-\frac{3}{5} ning teskarisi \frac{3}{5} ga teng.

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

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

$$\frac{1}{5}-\left(-4\left(\frac{25}{20}+\frac{12}{20}\right)\right)+\frac{5}{3}$$

\frac{25}{20} va \frac{12}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{5}-\left(-4\times \frac{25+12}{20}\right)+\frac{5}{3}$$

37 olish uchun 25 va 12'ni qo'shing.

$$\frac{1}{5}-\left(-4\times \frac{37}{20}\right)+\frac{5}{3}$$

-4\times \frac{37}{20} ni yagona kasrga aylantiring.

$$\frac{1}{5}-\frac{-4\times 37}{20}+\frac{5}{3}$$

-148 hosil qilish uchun -4 va 37 ni ko'paytirish.

$$\frac{1}{5}-\frac{-148}{20}+\frac{5}{3}$$

\frac{-148}{20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{5}-\left(-\frac{37}{5}\right)+\frac{5}{3}$$

-\frac{37}{5} ning teskarisi \frac{37}{5} ga teng.

$$\frac{1}{5}+\frac{37}{5}+\frac{5}{3}$$

\frac{1}{5} va \frac{37}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1+37}{5}+\frac{5}{3}$$

38 olish uchun 1 va 37'ni qo'shing.

$$\frac{38}{5}+\frac{5}{3}$$

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{38}{5} va \frac{5}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{114}{15}+\frac{25}{15}$$

\frac{114}{15} va \frac{25}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{114+25}{15}$$

139 olish uchun 114 va 25'ni qo'shing.

$$\frac{139}{15}$$

Omil

$$\frac{139}{3 \cdot 5} = 9\frac{4}{15} = 9,266666666666667$$