(2/3+1/4)*2/3div1/4 eching

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

Baholash

$$\frac{22}{9}\approx 2,444444444$$

Yechim qadamlari

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{2}{3} va \frac{1}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\left(\frac{8}{12}+\frac{3}{12}\right)\times \frac{2}{3}}{\frac{1}{4}}$$

\frac{8}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{8+3}{12}\times \frac{2}{3}}{\frac{1}{4}}$$

11 olish uchun 8 va 3'ni qo'shing.

$$\frac{\frac{11}{12}\times \frac{2}{3}}{\frac{1}{4}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{11}{12} ni \frac{2}{3} ga ko‘paytiring.

$$\frac{\frac{11\times 2}{12\times 3}}{\frac{1}{4}}$$

\frac{11\times 2}{12\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{22}{36}}{\frac{1}{4}}$$

\frac{22}{36} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{11}{18}}{\frac{1}{4}}$$

\frac{11}{18} ni \frac{1}{4} ga bo'lish \frac{11}{18} ga k'paytirish \frac{1}{4} ga qaytarish.

$$\frac{11}{18}\times 4$$

\frac{11}{18}\times 4 ni yagona kasrga aylantiring.

$$\frac{11\times 4}{18}$$

44 hosil qilish uchun 11 va 4 ni ko'paytirish.

$$\frac{44}{18}$$

\frac{44}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{22}{9}$$

Omil

$$\frac{2 \cdot 11}{3 ^ {2}} = 2\frac{4}{9} = 2,4444444444444446$$