9-3/5+62/3(206/15) eching

$$9 - \frac { 3 } { 5 } + 6 \frac { 2 } { 3 } ( \frac { 206 } { 15 } )$$

Baholash

$$\frac{4498}{45}\approx 99,955555556$$

Yechim qadamlari

9 ni \frac{45}{5} kasrga o‘giring.

$$\frac{45}{5}-\frac{3}{5}+\frac{6\times 3+2}{3}\times \frac{206}{15}$$

\frac{45}{5} va \frac{3}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{45-3}{5}+\frac{6\times 3+2}{3}\times \frac{206}{15}$$

42 olish uchun 45 dan 3 ni ayirish.

$$\frac{42}{5}+\frac{6\times 3+2}{3}\times \frac{206}{15}$$

18 hosil qilish uchun 6 va 3 ni ko'paytirish.

$$\frac{42}{5}+\frac{18+2}{3}\times \frac{206}{15}$$

20 olish uchun 18 va 2'ni qo'shing.

$$\frac{42}{5}+\frac{20}{3}\times \frac{206}{15}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{20}{3} ni \frac{206}{15} ga ko‘paytiring.

$$\frac{42}{5}+\frac{20\times 206}{3\times 15}$$

\frac{20\times 206}{3\times 15} kasridagi ko‘paytirishlarni bajaring.

$$\frac{42}{5}+\frac{4120}{45}$$

\frac{4120}{45} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{42}{5}+\frac{824}{9}$$

5 va 9 ning eng kichik umumiy karralisi 45 ga teng. \frac{42}{5} va \frac{824}{9} ni 45 maxraj bilan kasrlarga aylantirib oling.

$$\frac{378}{45}+\frac{4120}{45}$$

\frac{378}{45} va \frac{4120}{45} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{378+4120}{45}$$

4498 olish uchun 378 va 4120'ni qo'shing.

$$\frac{4498}{45}$$

Omil

$$\frac{2 \cdot 13 \cdot 173}{3 ^ {2} \cdot 5} = 99\frac{43}{45} = 99,95555555555555$$