2/7-1/2*4/14-(1/2-frac{3}{4})= eching

$$\frac { 2 } { 7 } - \frac { 1 } { 2 } \cdot \frac { 4 } { 14 } - ( \frac { 1 } { 2 } - \frac { 3 } { 4 } ) =$$

Baholash

$$\frac{11}{28}\approx 0,392857143$$

Yechim qadamlari

\frac{4}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{7}-\frac{1}{2}\times \frac{2}{7}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{2}{7} ga ko‘paytiring.

$$\frac{2}{7}-\frac{1\times 2}{2\times 7}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{2}{7}-\frac{1}{7}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

\frac{2}{7} va \frac{1}{7} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2-1}{7}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

1 olish uchun 2 dan 1 ni ayirish.

$$\frac{1}{7}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

2 va 4 ning eng kichik umumiy karralisi 4 ga teng. \frac{1}{2} va \frac{3}{4} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{7}-\left(\frac{2}{4}-\frac{3}{4}\right)$$

\frac{2}{4} va \frac{3}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{7}-\frac{2-3}{4}$$

-1 olish uchun 2 dan 3 ni ayirish.

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

-\frac{1}{4} ning teskarisi \frac{1}{4} ga teng.

$$\frac{1}{7}+\frac{1}{4}$$

7 va 4 ning eng kichik umumiy karralisi 28 ga teng. \frac{1}{7} va \frac{1}{4} ni 28 maxraj bilan kasrlarga aylantirib oling.

$$\frac{4}{28}+\frac{7}{28}$$

\frac{4}{28} va \frac{7}{28} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{4+7}{28}$$

11 olish uchun 4 va 7'ni qo'shing.

$$\frac{11}{28}$$

Omil

$$\frac{11}{2 ^ {2} \cdot 7} = 0,39285714285714285$$