(1/3-1/12)div(1/8-1/2) eching

$$( \frac { 1 } { 3 } - \frac { 1 } { 12 } ) \div ( \frac { 1 } { 8 } - \frac { 1 } { 2 } )$$

Baholash

$$-\frac{2}{3}\approx -0,666666667$$

Yechim qadamlari

3 va 12 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{3} va \frac{1}{12} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{4}{12}-\frac{1}{12}}{\frac{1}{8}-\frac{1}{2}}$$

\frac{4}{12} va \frac{1}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{4-1}{12}}{\frac{1}{8}-\frac{1}{2}}$$

3 olish uchun 4 dan 1 ni ayirish.

$$\frac{\frac{3}{12}}{\frac{1}{8}-\frac{1}{2}}$$

\frac{3}{12} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{1}{4}}{\frac{1}{8}-\frac{1}{2}}$$

8 va 2 ning eng kichik umumiy karralisi 8 ga teng. \frac{1}{8} va \frac{1}{2} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{1}{4}}{\frac{1}{8}-\frac{4}{8}}$$

\frac{1}{8} va \frac{4}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{1}{4}}{\frac{1-4}{8}}$$

-3 olish uchun 1 dan 4 ni ayirish.

$$\frac{\frac{1}{4}}{-\frac{3}{8}}$$

\frac{1}{4} ni -\frac{3}{8} ga bo'lish \frac{1}{4} ga k'paytirish -\frac{3}{8} ga qaytarish.

$$\frac{1}{4}\left(-\frac{8}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{4} ni -\frac{8}{3} ga ko‘paytiring.

$$\frac{1\left(-8\right)}{4\times 3}$$

\frac{1\left(-8\right)}{4\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-8}{12}$$

\frac{-8}{12} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{2}{3}$$

Omil

$$-\frac{2}{3} = -0,6666666666666666$$