(-11/4)-(-121/14)+(+5/3)-(-3/14)-frac{29}{4}+(-frac{16}{3})l eching

$$( - \frac { 11 } { 4 } ) - ( - \frac { 121 } { 14 } ) + ( + \frac { 5 } { 3 } ) - ( - \frac { 3 } { 14 } ) - \frac { 29 } { 4 } + ( - \frac { 16 } { 3 } ) l$$

Baholash

$$-\frac{16l}{3}+\frac{11}{21}$$

Yechim qadamlari

-\frac{121}{14} ning teskarisi \frac{121}{14} ga teng.

$$-\frac{11}{4}+\frac{121}{14}+\frac{5}{3}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

4 va 14 ning eng kichik umumiy karralisi 28 ga teng. -\frac{11}{4} va \frac{121}{14} ni 28 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{77}{28}+\frac{242}{28}+\frac{5}{3}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

-\frac{77}{28} va \frac{242}{28} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-77+242}{28}+\frac{5}{3}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

165 olish uchun -77 va 242'ni qo'shing.

$$\frac{165}{28}+\frac{5}{3}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

28 va 3 ning eng kichik umumiy karralisi 84 ga teng. \frac{165}{28} va \frac{5}{3} ni 84 maxraj bilan kasrlarga aylantirib oling.

$$\frac{495}{84}+\frac{140}{84}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

\frac{495}{84} va \frac{140}{84} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{495+140}{84}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

635 olish uchun 495 va 140'ni qo'shing.

$$\frac{635}{84}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

-\frac{3}{14} ning teskarisi \frac{3}{14} ga teng.

$$\frac{635}{84}+\frac{3}{14}-\frac{29}{4}-\frac{16}{3}l$$

84 va 14 ning eng kichik umumiy karralisi 84 ga teng. \frac{635}{84} va \frac{3}{14} ni 84 maxraj bilan kasrlarga aylantirib oling.

$$\frac{635}{84}+\frac{18}{84}-\frac{29}{4}-\frac{16}{3}l$$

\frac{635}{84} va \frac{18}{84} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{635+18}{84}-\frac{29}{4}-\frac{16}{3}l$$

653 olish uchun 635 va 18'ni qo'shing.

$$\frac{653}{84}-\frac{29}{4}-\frac{16}{3}l$$

84 va 4 ning eng kichik umumiy karralisi 84 ga teng. \frac{653}{84} va \frac{29}{4} ni 84 maxraj bilan kasrlarga aylantirib oling.

$$\frac{653}{84}-\frac{609}{84}-\frac{16}{3}l$$

\frac{653}{84} va \frac{609}{84} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{653-609}{84}-\frac{16}{3}l$$

44 olish uchun 653 dan 609 ni ayirish.

$$\frac{44}{84}-\frac{16}{3}l$$

\frac{44}{84} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{11}{21}-\frac{16}{3}l$$

Omil

$$\frac{11-112l}{21}$$

Yechim qadamlari

\frac{1}{84} omili.

$$\frac{44-448l}{84}$$

Hisoblang: -231+726+140+18-609-448l. Oʻxshash shartlarni koʻpaytirish va birlashtirish.

$$-448l+44$$

Hisoblang: -448l+44. 4 omili.

$$4\left(-112l+11\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$\frac{-112l+11}{21}$$