-4-3/4+1/2(6)+5/8(-2/15) eching

$$- 4 - \frac { 3 } { 4 } + \frac { 1 } { 2 } ( 6 ) + \frac { 5 } { 8 } ( \frac { - 2 } { 15 } )$$

Baholash

$$-\frac{11}{6}\approx -1,833333333$$

Yechim qadamlari

-4 ni -\frac{16}{4} kasrga o‘giring.

$$-\frac{16}{4}-\frac{3}{4}+\frac{1}{2}\times 6+\frac{5}{8}\times \frac{-2}{15}$$

-\frac{16}{4} va \frac{3}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-16-3}{4}+\frac{1}{2}\times 6+\frac{5}{8}\times \frac{-2}{15}$$

-19 olish uchun -16 dan 3 ni ayirish.

$$-\frac{19}{4}+\frac{1}{2}\times 6+\frac{5}{8}\times \frac{-2}{15}$$

\frac{6}{2} hosil qilish uchun \frac{1}{2} va 6 ni ko'paytirish.

$$-\frac{19}{4}+\frac{6}{2}+\frac{5}{8}\times \frac{-2}{15}$$

3 ni olish uchun 6 ni 2 ga bo‘ling.

$$-\frac{19}{4}+3+\frac{5}{8}\times \frac{-2}{15}$$

3 ni \frac{12}{4} kasrga o‘giring.

$$-\frac{19}{4}+\frac{12}{4}+\frac{5}{8}\times \frac{-2}{15}$$

-\frac{19}{4} va \frac{12}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-19+12}{4}+\frac{5}{8}\times \frac{-2}{15}$$

-7 olish uchun -19 va 12'ni qo'shing.

$$-\frac{7}{4}+\frac{5}{8}\times \frac{-2}{15}$$

\frac{-2}{15} kasri manfiy belgini olib tashlash bilan -\frac{2}{15} sifatida qayta yozilishi mumkin.

$$-\frac{7}{4}+\frac{5}{8}\left(-\frac{2}{15}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{8} ni -\frac{2}{15} ga ko‘paytiring.

$$-\frac{7}{4}+\frac{5\left(-2\right)}{8\times 15}$$

\frac{5\left(-2\right)}{8\times 15} kasridagi ko‘paytirishlarni bajaring.

$$-\frac{7}{4}+\frac{-10}{120}$$

\frac{-10}{120} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{7}{4}-\frac{1}{12}$$

4 va 12 ning eng kichik umumiy karralisi 12 ga teng. -\frac{7}{4} va \frac{1}{12} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{21}{12}-\frac{1}{12}$$

-\frac{21}{12} va \frac{1}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-21-1}{12}$$

-22 olish uchun -21 dan 1 ni ayirish.

$$\frac{-22}{12}$$

\frac{-22}{12} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{11}{6}$$

Omil

$$-\frac{11}{6} = -1\frac{5}{6} = -1,8333333333333333$$