|4/3-(3/8-1/6)|-|2/5-(frac{7}{8}-frac{3}{6})| eching

$$| \frac { 4 } { 3 } - ( \frac { 3 } { 8 } - \frac { 1 } { 6 } ) | - | \frac { 2 } { 5 } - ( \frac { 7 } { 8 } - \frac { 3 } { 6 } ) |$$

Baholash

$$\frac{11}{10}=1,1$$

Yechim qadamlari

8 va 6 ning eng kichik umumiy karralisi 24 ga teng. \frac{3}{8} va \frac{1}{6} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$|\frac{4}{3}-\left(\frac{9}{24}-\frac{4}{24}\right)|-|\frac{2}{5}-\left(\frac{7}{8}-\frac{3}{6}\right)|$$

\frac{9}{24} va \frac{4}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$|\frac{4}{3}-\frac{9-4}{24}|-|\frac{2}{5}-\left(\frac{7}{8}-\frac{3}{6}\right)|$$

5 olish uchun 9 dan 4 ni ayirish.

$$|\frac{4}{3}-\frac{5}{24}|-|\frac{2}{5}-\left(\frac{7}{8}-\frac{3}{6}\right)|$$

3 va 24 ning eng kichik umumiy karralisi 24 ga teng. \frac{4}{3} va \frac{5}{24} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$|\frac{32}{24}-\frac{5}{24}|-|\frac{2}{5}-\left(\frac{7}{8}-\frac{3}{6}\right)|$$

\frac{32}{24} va \frac{5}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$|\frac{32-5}{24}|-|\frac{2}{5}-\left(\frac{7}{8}-\frac{3}{6}\right)|$$

27 olish uchun 32 dan 5 ni ayirish.

$$|\frac{27}{24}|-|\frac{2}{5}-\left(\frac{7}{8}-\frac{3}{6}\right)|$$

\frac{27}{24} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$|\frac{9}{8}|-|\frac{2}{5}-\left(\frac{7}{8}-\frac{3}{6}\right)|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. \frac{9}{8} ning mutloq qiymati \frac{9}{8} ga teng.

$$\frac{9}{8}-|\frac{2}{5}-\left(\frac{7}{8}-\frac{3}{6}\right)|$$

\frac{3}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{9}{8}-|\frac{2}{5}-\left(\frac{7}{8}-\frac{1}{2}\right)|$$

8 va 2 ning eng kichik umumiy karralisi 8 ga teng. \frac{7}{8} va \frac{1}{2} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{9}{8}-|\frac{2}{5}-\left(\frac{7}{8}-\frac{4}{8}\right)|$$

\frac{7}{8} va \frac{4}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{9}{8}-|\frac{2}{5}-\frac{7-4}{8}|$$

3 olish uchun 7 dan 4 ni ayirish.

$$\frac{9}{8}-|\frac{2}{5}-\frac{3}{8}|$$

5 va 8 ning eng kichik umumiy karralisi 40 ga teng. \frac{2}{5} va \frac{3}{8} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{9}{8}-|\frac{16}{40}-\frac{15}{40}|$$

\frac{16}{40} va \frac{15}{40} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{9}{8}-|\frac{16-15}{40}|$$

1 olish uchun 16 dan 15 ni ayirish.

$$\frac{9}{8}-|\frac{1}{40}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. \frac{1}{40} ning mutloq qiymati \frac{1}{40} ga teng.

$$\frac{9}{8}-\frac{1}{40}$$

8 va 40 ning eng kichik umumiy karralisi 40 ga teng. \frac{9}{8} va \frac{1}{40} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{45}{40}-\frac{1}{40}$$

\frac{45}{40} va \frac{1}{40} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{45-1}{40}$$

44 olish uchun 45 dan 1 ni ayirish.

$$\frac{44}{40}$$

\frac{44}{40} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{11}{10}$$

Omil

$$\frac{11}{2 \cdot 5} = 1\frac{1}{10} = 1,1$$