-53/8+45/6-(-21/4) eching

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

Baholash

$$\frac{41}{24}\approx 1,708333333$$

Yechim qadamlari

40 hosil qilish uchun 5 va 8 ni ko'paytirish.

$$-\frac{40+3}{8}+\frac{4\times 6+5}{6}-\left(-\frac{2\times 4+1}{4}\right)$$

43 olish uchun 40 va 3'ni qo'shing.

$$-\frac{43}{8}+\frac{4\times 6+5}{6}-\left(-\frac{2\times 4+1}{4}\right)$$

24 hosil qilish uchun 4 va 6 ni ko'paytirish.

$$-\frac{43}{8}+\frac{24+5}{6}-\left(-\frac{2\times 4+1}{4}\right)$$

29 olish uchun 24 va 5'ni qo'shing.

$$-\frac{43}{8}+\frac{29}{6}-\left(-\frac{2\times 4+1}{4}\right)$$

8 va 6 ning eng kichik umumiy karralisi 24 ga teng. -\frac{43}{8} va \frac{29}{6} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{129}{24}+\frac{116}{24}-\left(-\frac{2\times 4+1}{4}\right)$$

-\frac{129}{24} va \frac{116}{24} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-129+116}{24}-\left(-\frac{2\times 4+1}{4}\right)$$

-13 olish uchun -129 va 116'ni qo'shing.

$$-\frac{13}{24}-\left(-\frac{2\times 4+1}{4}\right)$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$-\frac{13}{24}-\left(-\frac{8+1}{4}\right)$$

9 olish uchun 8 va 1'ni qo'shing.

$$-\frac{13}{24}-\left(-\frac{9}{4}\right)$$

-\frac{9}{4} ning teskarisi \frac{9}{4} ga teng.

$$-\frac{13}{24}+\frac{9}{4}$$

24 va 4 ning eng kichik umumiy karralisi 24 ga teng. -\frac{13}{24} va \frac{9}{4} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{13}{24}+\frac{54}{24}$$

-\frac{13}{24} va \frac{54}{24} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-13+54}{24}$$

41 olish uchun -13 va 54'ni qo'shing.

$$\frac{41}{24}$$

Omil

$$\frac{41}{2 ^ {3} \cdot 3} = 1\frac{17}{24} = 1,7083333333333333$$