1/-2+1/3+1/5-3/4+frac{2}{9}-frac{5}{7}= eching

$$\frac { 1 } { - 2 } + \frac { 1 } { 3 } + \frac { 1 } { 5 } - \frac { 3 } { 4 } + \frac { 2 } { 9 } - \frac { 5 } { 7 } =$$

Baholash

$$-\frac{1523}{1260}\approx -1,208730159$$

Yechim qadamlari

\frac{1}{-2} kasri manfiy belgini olib tashlash bilan -\frac{1}{2} sifatida qayta yozilishi mumkin.

$$-\frac{1}{2}+\frac{1}{3}+\frac{1}{5}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. -\frac{1}{2} va \frac{1}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{3}{6}+\frac{2}{6}+\frac{1}{5}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

-\frac{3}{6} va \frac{2}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-3+2}{6}+\frac{1}{5}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

-1 olish uchun -3 va 2'ni qo'shing.

$$-\frac{1}{6}+\frac{1}{5}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

6 va 5 ning eng kichik umumiy karralisi 30 ga teng. -\frac{1}{6} va \frac{1}{5} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{5}{30}+\frac{6}{30}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

-\frac{5}{30} va \frac{6}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-5+6}{30}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

1 olish uchun -5 va 6'ni qo'shing.

$$\frac{1}{30}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

30 va 4 ning eng kichik umumiy karralisi 60 ga teng. \frac{1}{30} va \frac{3}{4} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2}{60}-\frac{45}{60}+\frac{2}{9}-\frac{5}{7}$$

\frac{2}{60} va \frac{45}{60} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2-45}{60}+\frac{2}{9}-\frac{5}{7}$$

-43 olish uchun 2 dan 45 ni ayirish.

$$-\frac{43}{60}+\frac{2}{9}-\frac{5}{7}$$

60 va 9 ning eng kichik umumiy karralisi 180 ga teng. -\frac{43}{60} va \frac{2}{9} ni 180 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{129}{180}+\frac{40}{180}-\frac{5}{7}$$

-\frac{129}{180} va \frac{40}{180} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-129+40}{180}-\frac{5}{7}$$

-89 olish uchun -129 va 40'ni qo'shing.

$$-\frac{89}{180}-\frac{5}{7}$$

180 va 7 ning eng kichik umumiy karralisi 1260 ga teng. -\frac{89}{180} va \frac{5}{7} ni 1260 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{623}{1260}-\frac{900}{1260}$$

-\frac{623}{1260} va \frac{900}{1260} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-623-900}{1260}$$

-1523 olish uchun -623 dan 900 ni ayirish.

$$-\frac{1523}{1260}$$

Omil

$$-\frac{1523}{1260} = -1\frac{263}{1260} = -1,2087301587301587$$