1/3+5/6-1/9quad8/15 eching

$$\frac { 1 } { 3 } + \frac { 5 } { 6 } - \frac { 1 } { 9 } \quad \frac { 8 } { 15 }$$

Baholash

$$\frac{299}{270}\approx 1,107407407$$

Yechim qadamlari

3 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{5}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2}{6}+\frac{5}{6}-\frac{1}{9}\times \frac{8}{15}$$

\frac{2}{6} va \frac{5}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2+5}{6}-\frac{1}{9}\times \frac{8}{15}$$

7 olish uchun 2 va 5'ni qo'shing.

$$\frac{7}{6}-\frac{1}{9}\times \frac{8}{15}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{9} ni \frac{8}{15} ga ko‘paytiring.

$$\frac{7}{6}-\frac{1\times 8}{9\times 15}$$

\frac{1\times 8}{9\times 15} kasridagi ko‘paytirishlarni bajaring.

$$\frac{7}{6}-\frac{8}{135}$$

6 va 135 ning eng kichik umumiy karralisi 270 ga teng. \frac{7}{6} va \frac{8}{135} ni 270 maxraj bilan kasrlarga aylantirib oling.

$$\frac{315}{270}-\frac{16}{270}$$

\frac{315}{270} va \frac{16}{270} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{315-16}{270}$$

299 olish uchun 315 dan 16 ni ayirish.

$$\frac{299}{270}$$

Omil

$$\frac{13 \cdot 23}{2 \cdot 3 ^ {3} \cdot 5} = 1\frac{29}{270} = 1,1074074074074074$$