2/3+1/4*2/5-3/4+frac{5}{2}= eching

$$\frac { 2 } { 3 } + \frac { 1 } { 4 } \times \frac { 2 } { 5 } - \frac { 3 } { 4 } + \frac { 5 } { 2 } =$$

Baholash

$$\frac{151}{60}\approx 2,516666667$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{4} ni \frac{2}{5} ga ko‘paytiring.

$$\frac{2}{3}+\frac{1\times 2}{4\times 5}-\frac{3}{4}+\frac{5}{2}$$

\frac{1\times 2}{4\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2}{3}+\frac{2}{20}-\frac{3}{4}+\frac{5}{2}$$

\frac{2}{20} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}+\frac{1}{10}-\frac{3}{4}+\frac{5}{2}$$

3 va 10 ning eng kichik umumiy karralisi 30 ga teng. \frac{2}{3} va \frac{1}{10} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{20}{30}+\frac{3}{30}-\frac{3}{4}+\frac{5}{2}$$

\frac{20}{30} va \frac{3}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{20+3}{30}-\frac{3}{4}+\frac{5}{2}$$

23 olish uchun 20 va 3'ni qo'shing.

$$\frac{23}{30}-\frac{3}{4}+\frac{5}{2}$$

30 va 4 ning eng kichik umumiy karralisi 60 ga teng. \frac{23}{30} va \frac{3}{4} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{46}{60}-\frac{45}{60}+\frac{5}{2}$$

\frac{46}{60} va \frac{45}{60} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{46-45}{60}+\frac{5}{2}$$

1 olish uchun 46 dan 45 ni ayirish.

$$\frac{1}{60}+\frac{5}{2}$$

60 va 2 ning eng kichik umumiy karralisi 60 ga teng. \frac{1}{60} va \frac{5}{2} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{60}+\frac{150}{60}$$

\frac{1}{60} va \frac{150}{60} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1+150}{60}$$

151 olish uchun 1 va 150'ni qo'shing.

$$\frac{151}{60}$$

Omil

$$\frac{151}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{31}{60} = 2,5166666666666666$$