5/6-1/8div(2/3-1/4) eching

$$\frac{ 5 }{ 6 } - \frac{ 1 }{ 8 } \div ( \frac{ 2 }{ 3 } - \frac{ 1 }{ 4 } )$$

Baholash

$$\frac{8}{15}\approx 0,533333333$$

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.

$$\frac{5}{6}-\frac{\frac{1}{8}}{\frac{8}{12}-\frac{3}{12}}$$

\frac{8}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5}{6}-\frac{\frac{1}{8}}{\frac{8-3}{12}}$$

5 olish uchun 8 dan 3 ni ayirish.

$$\frac{5}{6}-\frac{\frac{1}{8}}{\frac{5}{12}}$$

\frac{1}{8} ni \frac{5}{12} ga bo'lish \frac{1}{8} ga k'paytirish \frac{5}{12} ga qaytarish.

$$\frac{5}{6}-\frac{1}{8}\times \frac{12}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{8} ni \frac{12}{5} ga ko‘paytiring.

$$\frac{5}{6}-\frac{1\times 12}{8\times 5}$$

\frac{1\times 12}{8\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{5}{6}-\frac{12}{40}$$

\frac{12}{40} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{6}-\frac{3}{10}$$

6 va 10 ning eng kichik umumiy karralisi 30 ga teng. \frac{5}{6} va \frac{3}{10} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{25}{30}-\frac{9}{30}$$

\frac{25}{30} va \frac{9}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{25-9}{30}$$

16 olish uchun 25 dan 9 ni ayirish.

$$\frac{16}{30}$$

\frac{16}{30} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{8}{15}$$

Omil

$$\frac{2 ^ {3}}{3 \cdot 5} = 0,5333333333333333$$