(2/3+4/6)^2*6^2/12^2 eching

$$( \frac { 2 } { 3 } + \frac { 4 } { 6 } ) ^ { 2 } \cdot \frac { 6 ^ { 2 } } { 12 ^ { 2 } }$$

Baholash

$$\frac{4}{9}\approx 0,444444444$$

Yechim qadamlari

\frac{4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(\frac{2}{3}+\frac{2}{3}\right)^{2}\times \frac{6^{2}}{12^{2}}$$

\frac{4}{3} olish uchun \frac{2}{3} va \frac{2}{3}'ni qo'shing.

$$\left(\frac{4}{3}\right)^{2}\times \frac{6^{2}}{12^{2}}$$

2 daraja ko‘rsatkichini \frac{4}{3} ga hisoblang va \frac{16}{9} ni qiymatni oling.

$$\frac{16}{9}\times \frac{6^{2}}{12^{2}}$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$\frac{16}{9}\times \frac{36}{12^{2}}$$

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$\frac{16}{9}\times \frac{36}{144}$$

\frac{36}{144} ulushini 36 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{16}{9}\times \frac{1}{4}$$

\frac{4}{9} hosil qilish uchun \frac{16}{9} va \frac{1}{4} ni ko'paytirish.

$$\frac{4}{9}$$

Omil

$$\frac{2 ^ {2}}{3 ^ {2}} = 0,4444444444444444$$