-3/24/5+9/5-10/3-frac{1}{2}*frac{3}{4} eching

$$- \frac{ 3 }{ 2 } \frac{ 4 }{ 5 } + \frac{ 9 }{ 5 } \frac{ -10 }{ 3 } - \frac{ 1 }{ 2 } \times \frac{ 3 }{ 4 }$$

Baholash

$$-\frac{303}{40}=-7,575$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{3}{2} ni \frac{4}{5} ga ko‘paytiring.

$$\frac{-3\times 4}{2\times 5}+\frac{9}{5}\times \frac{-10}{3}-\frac{1}{2}\times \frac{3}{4}$$

\frac{-3\times 4}{2\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-12}{10}+\frac{9}{5}\times \frac{-10}{3}-\frac{1}{2}\times \frac{3}{4}$$

\frac{-12}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{6}{5}+\frac{9}{5}\times \frac{-10}{3}-\frac{1}{2}\times \frac{3}{4}$$

\frac{-10}{3} kasri manfiy belgini olib tashlash bilan -\frac{10}{3} sifatida qayta yozilishi mumkin.

$$-\frac{6}{5}+\frac{9}{5}\left(-\frac{10}{3}\right)-\frac{1}{2}\times \frac{3}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{5} ni -\frac{10}{3} ga ko‘paytiring.

$$-\frac{6}{5}+\frac{9\left(-10\right)}{5\times 3}-\frac{1}{2}\times \frac{3}{4}$$

\frac{9\left(-10\right)}{5\times 3} kasridagi ko‘paytirishlarni bajaring.

$$-\frac{6}{5}+\frac{-90}{15}-\frac{1}{2}\times \frac{3}{4}$$

-6 ni olish uchun -90 ni 15 ga bo‘ling.

$$-\frac{6}{5}-6-\frac{1}{2}\times \frac{3}{4}$$

6 ni \frac{30}{5} kasrga o‘giring.

$$-\frac{6}{5}-\frac{30}{5}-\frac{1}{2}\times \frac{3}{4}$$

-\frac{6}{5} va \frac{30}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-6-30}{5}-\frac{1}{2}\times \frac{3}{4}$$

-36 olish uchun -6 dan 30 ni ayirish.

$$-\frac{36}{5}-\frac{1}{2}\times \frac{3}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{3}{4} ga ko‘paytiring.

$$-\frac{36}{5}-\frac{1\times 3}{2\times 4}$$

\frac{1\times 3}{2\times 4} kasridagi ko‘paytirishlarni bajaring.

$$-\frac{36}{5}-\frac{3}{8}$$

5 va 8 ning eng kichik umumiy karralisi 40 ga teng. -\frac{36}{5} va \frac{3}{8} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{288}{40}-\frac{15}{40}$$

-\frac{288}{40} va \frac{15}{40} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-288-15}{40}$$

-303 olish uchun -288 dan 15 ni ayirish.

$$-\frac{303}{40}$$

Omil

$$-\frac{303}{40} = -7\frac{23}{40} = -7,575$$