5*(11/3-3/5)+25div(25-1) eching

$$5 \times ( 1 \frac { 1 } { 3 } - \frac { 3 } { 5 } ) + 25 \div ( 25 - 1 )$$

Baholash

$$\frac{113}{24}\approx 4,708333333$$

Yechim qadamlari

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

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

4 olish uchun 3 va 1'ni qo'shing.

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

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{4}{3} va \frac{3}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$5\left(\frac{20}{15}-\frac{9}{15}\right)+\frac{25}{25-1}$$

\frac{20}{15} va \frac{9}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$5\times \frac{20-9}{15}+\frac{25}{25-1}$$

11 olish uchun 20 dan 9 ni ayirish.

$$5\times \frac{11}{15}+\frac{25}{25-1}$$

5\times \frac{11}{15} ni yagona kasrga aylantiring.

$$\frac{5\times 11}{15}+\frac{25}{25-1}$$

55 hosil qilish uchun 5 va 11 ni ko'paytirish.

$$\frac{55}{15}+\frac{25}{25-1}$$

\frac{55}{15} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{11}{3}+\frac{25}{25-1}$$

24 olish uchun 25 dan 1 ni ayirish.

$$\frac{11}{3}+\frac{25}{24}$$

3 va 24 ning eng kichik umumiy karralisi 24 ga teng. \frac{11}{3} va \frac{25}{24} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{88}{24}+\frac{25}{24}$$

\frac{88}{24} va \frac{25}{24} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{88+25}{24}$$

113 olish uchun 88 va 25'ni qo'shing.

$$\frac{113}{24}$$

Omil

$$\frac{113}{2 ^ {3} \cdot 3} = 4\frac{17}{24} = 4,708333333333333$$