(2/5+3/4-1/6)div2/3 eching

$$( \frac { 2 } { 5 } + \frac { 3 } { 4 } - \frac { 1 } { 6 } ) \div \frac { 2 } { 3 }$$

Baholash

$$\frac{59}{40}=1,475$$

Yechim qadamlari

5 va 4 ning eng kichik umumiy karralisi 20 ga teng. \frac{2}{5} va \frac{3}{4} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{8}{20}+\frac{15}{20}-\frac{1}{6}}{\frac{2}{3}}$$

\frac{8}{20} va \frac{15}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{8+15}{20}-\frac{1}{6}}{\frac{2}{3}}$$

23 olish uchun 8 va 15'ni qo'shing.

$$\frac{\frac{23}{20}-\frac{1}{6}}{\frac{2}{3}}$$

20 va 6 ning eng kichik umumiy karralisi 60 ga teng. \frac{23}{20} va \frac{1}{6} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{69}{60}-\frac{10}{60}}{\frac{2}{3}}$$

\frac{69}{60} va \frac{10}{60} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{69-10}{60}}{\frac{2}{3}}$$

59 olish uchun 69 dan 10 ni ayirish.

$$\frac{\frac{59}{60}}{\frac{2}{3}}$$

\frac{59}{60} ni \frac{2}{3} ga bo'lish \frac{59}{60} ga k'paytirish \frac{2}{3} ga qaytarish.

$$\frac{59}{60}\times \frac{3}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{59}{60} ni \frac{3}{2} ga ko‘paytiring.

$$\frac{59\times 3}{60\times 2}$$

\frac{59\times 3}{60\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{177}{120}$$

\frac{177}{120} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{59}{40}$$

Omil

$$\frac{59}{2 ^ {3} \cdot 5} = 1\frac{19}{40} = 1,475$$