36/812^2-9/64 eching

$$\frac { 36 } { 81 } 2 ^ { 2 } - \frac { 9 } { 64 }$$

Baholash

$$\frac{943}{576}\approx 1,637152778$$

Yechim qadamlari

\frac{36}{81} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{9}\times 2^{2}-\frac{9}{64}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{4}{9}\times 4-\frac{9}{64}$$

\frac{4}{9}\times 4 ni yagona kasrga aylantiring.

$$\frac{4\times 4}{9}-\frac{9}{64}$$

16 hosil qilish uchun 4 va 4 ni ko'paytirish.

$$\frac{16}{9}-\frac{9}{64}$$

9 va 64 ning eng kichik umumiy karralisi 576 ga teng. \frac{16}{9} va \frac{9}{64} ni 576 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1024}{576}-\frac{81}{576}$$

\frac{1024}{576} va \frac{81}{576} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1024-81}{576}$$

943 olish uchun 1024 dan 81 ni ayirish.

$$\frac{943}{576}$$

Omil

$$\frac{23 \cdot 41}{2 ^ {6} \cdot 3 ^ {2}} = 1\frac{367}{576} = 1,6371527777777777$$