1/6*3/4-3/4*(1/6-frac{3}{4})= eching

$$\frac { 1 } { 6 } \cdot \frac { 3 } { 4 } - \frac { 3 } { 4 } \cdot ( \frac { 1 } { 6 } - \frac { 3 } { 4 } ) =$$

Baholash

$$\frac{9}{16}=0,5625$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{6} ni \frac{3}{4} ga ko‘paytiring.

$$\frac{1\times 3}{6\times 4}-\frac{3}{4}\left(\frac{1}{6}-\frac{3}{4}\right)$$

\frac{1\times 3}{6\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{3}{24}-\frac{3}{4}\left(\frac{1}{6}-\frac{3}{4}\right)$$

\frac{3}{24} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{8}-\frac{3}{4}\left(\frac{1}{6}-\frac{3}{4}\right)$$

6 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{6} va \frac{3}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{8}-\frac{3}{4}\left(\frac{2}{12}-\frac{9}{12}\right)$$

\frac{2}{12} va \frac{9}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{8}-\frac{3}{4}\times \frac{2-9}{12}$$

-7 olish uchun 2 dan 9 ni ayirish.

$$\frac{1}{8}-\frac{3}{4}\left(-\frac{7}{12}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni -\frac{7}{12} ga ko‘paytiring.

$$\frac{1}{8}-\frac{3\left(-7\right)}{4\times 12}$$

\frac{3\left(-7\right)}{4\times 12} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1}{8}-\frac{-21}{48}$$

\frac{-21}{48} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{8}-\left(-\frac{7}{16}\right)$$

-\frac{7}{16} ning teskarisi \frac{7}{16} ga teng.

$$\frac{1}{8}+\frac{7}{16}$$

8 va 16 ning eng kichik umumiy karralisi 16 ga teng. \frac{1}{8} va \frac{7}{16} ni 16 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2}{16}+\frac{7}{16}$$

\frac{2}{16} va \frac{7}{16} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2+7}{16}$$

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

$$\frac{9}{16}$$

Omil

$$\frac{3 ^ {2}}{2 ^ {4}} = 0,5625$$