(+6/5-4/3)-(-5/2+7/3-frac{1}{6})+(-frac{4}{5}+frac{3}{4})-(-frac{7}{20})= eching

$$( + \frac { 6 } { 5 } - \frac { 4 } { 3 } ) - ( - \frac { 5 } { 2 } + \frac { 7 } { 3 } - \frac { 1 } { 6 } ) + ( - \frac { 4 } { 5 } + \frac { 3 } { 4 } ) - ( - \frac { 7 } { 20 } ) =$$

Baholash

$$\frac{1}{2}=0,5$$

Yechim qadamlari

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{6}{5} va \frac{4}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{18}{15}-\frac{20}{15}-\left(-\frac{5}{2}+\frac{7}{3}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

\frac{18}{15} va \frac{20}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{18-20}{15}-\left(-\frac{5}{2}+\frac{7}{3}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

-2 olish uchun 18 dan 20 ni ayirish.

$$-\frac{2}{15}-\left(-\frac{5}{2}+\frac{7}{3}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. -\frac{5}{2} va \frac{7}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{2}{15}-\left(-\frac{15}{6}+\frac{14}{6}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

-\frac{15}{6} va \frac{14}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{2}{15}-\left(\frac{-15+14}{6}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

-1 olish uchun -15 va 14'ni qo'shing.

$$-\frac{2}{15}-\left(-\frac{1}{6}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

-\frac{1}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{2}{15}-\frac{-1-1}{6}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

-2 olish uchun -1 dan 1 ni ayirish.

$$-\frac{2}{15}-\frac{-2}{6}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

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

$$-\frac{2}{15}-\left(-\frac{1}{3}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

-\frac{1}{3} ning teskarisi \frac{1}{3} ga teng.

$$-\frac{2}{15}+\frac{1}{3}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

15 va 3 ning eng kichik umumiy karralisi 15 ga teng. -\frac{2}{15} va \frac{1}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{2}{15}+\frac{5}{15}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

-\frac{2}{15} va \frac{5}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-2+5}{15}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

3 olish uchun -2 va 5'ni qo'shing.

$$\frac{3}{15}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

\frac{3}{15} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{5}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

\frac{1}{5} va \frac{4}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1-4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

-3 olish uchun 1 dan 4 ni ayirish.

$$-\frac{3}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

5 va 4 ning eng kichik umumiy karralisi 20 ga teng. -\frac{3}{5} va \frac{3}{4} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{12}{20}+\frac{15}{20}-\left(-\frac{7}{20}\right)$$

-\frac{12}{20} va \frac{15}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-12+15}{20}-\left(-\frac{7}{20}\right)$$

3 olish uchun -12 va 15'ni qo'shing.

$$\frac{3}{20}-\left(-\frac{7}{20}\right)$$

-\frac{7}{20} ning teskarisi \frac{7}{20} ga teng.

$$\frac{3}{20}+\frac{7}{20}$$

\frac{3}{20} va \frac{7}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+7}{20}$$

10 olish uchun 3 va 7'ni qo'shing.

$$\frac{10}{20}$$

\frac{10}{20} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{2}$$

Omil

$$\frac{1}{2} = 0,5$$