(3/7+1/4)quad-(2/7+4/6) eching

$$( \frac { 3 } { 7 } + \frac { 1 } { 4 } ) \quad - ( \frac { 2 } { 7 } + \frac { 4 } { 6 } )$$

Baholash

$$-\frac{23}{84}\approx -0,273809524$$

Yechim qadamlari

7 va 4 ning eng kichik umumiy karralisi 28 ga teng. \frac{3}{7} va \frac{1}{4} ni 28 maxraj bilan kasrlarga aylantirib oling.

$$\frac{12}{28}+\frac{7}{28}-\left(\frac{2}{7}+\frac{4}{6}\right)$$

\frac{12}{28} va \frac{7}{28} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{12+7}{28}-\left(\frac{2}{7}+\frac{4}{6}\right)$$

19 olish uchun 12 va 7'ni qo'shing.

$$\frac{19}{28}-\left(\frac{2}{7}+\frac{4}{6}\right)$$

\frac{4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{19}{28}-\left(\frac{2}{7}+\frac{2}{3}\right)$$

7 va 3 ning eng kichik umumiy karralisi 21 ga teng. \frac{2}{7} va \frac{2}{3} ni 21 maxraj bilan kasrlarga aylantirib oling.

$$\frac{19}{28}-\left(\frac{6}{21}+\frac{14}{21}\right)$$

\frac{6}{21} va \frac{14}{21} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{19}{28}-\frac{6+14}{21}$$

20 olish uchun 6 va 14'ni qo'shing.

$$\frac{19}{28}-\frac{20}{21}$$

28 va 21 ning eng kichik umumiy karralisi 84 ga teng. \frac{19}{28} va \frac{20}{21} ni 84 maxraj bilan kasrlarga aylantirib oling.

$$\frac{57}{84}-\frac{80}{84}$$

\frac{57}{84} va \frac{80}{84} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{57-80}{84}$$

-23 olish uchun 57 dan 80 ni ayirish.

$$-\frac{23}{84}$$

Omil

$$-\frac{23}{84} = -0,27380952380952384$$