24/10*(6/9-75/100*15/90)-frac{45}{10} eching

$$\frac { 24 } { 10 } \cdot ( \frac { 6 } { 9 } - \frac { 75 } { 100 } \cdot \frac { 15 } { 90 } ) - \frac { 45 } { 10 }$$

Baholash

$$-\frac{16}{5}=-3,2$$

Yechim qadamlari

\frac{24}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{12}{5}\left(\frac{6}{9}-\frac{75}{100}\times \frac{15}{90}\right)-\frac{45}{10}$$

\frac{6}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{12}{5}\left(\frac{2}{3}-\frac{75}{100}\times \frac{15}{90}\right)-\frac{45}{10}$$

\frac{75}{100} ulushini 25 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{12}{5}\left(\frac{2}{3}-\frac{3}{4}\times \frac{15}{90}\right)-\frac{45}{10}$$

\frac{15}{90} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{12}{5}\left(\frac{2}{3}-\frac{3}{4}\times \frac{1}{6}\right)-\frac{45}{10}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{1}{6} ga ko‘paytiring.

$$\frac{12}{5}\left(\frac{2}{3}-\frac{3\times 1}{4\times 6}\right)-\frac{45}{10}$$

\frac{3\times 1}{4\times 6} kasridagi ko‘paytirishlarni bajaring.

$$\frac{12}{5}\left(\frac{2}{3}-\frac{3}{24}\right)-\frac{45}{10}$$

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

$$\frac{12}{5}\left(\frac{2}{3}-\frac{1}{8}\right)-\frac{45}{10}$$

3 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{2}{3} va \frac{1}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{12}{5}\left(\frac{16}{24}-\frac{3}{24}\right)-\frac{45}{10}$$

\frac{16}{24} va \frac{3}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{12}{5}\times \frac{16-3}{24}-\frac{45}{10}$$

13 olish uchun 16 dan 3 ni ayirish.

$$\frac{12}{5}\times \frac{13}{24}-\frac{45}{10}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{12}{5} ni \frac{13}{24} ga ko‘paytiring.

$$\frac{12\times 13}{5\times 24}-\frac{45}{10}$$

\frac{12\times 13}{5\times 24} kasridagi ko‘paytirishlarni bajaring.

$$\frac{156}{120}-\frac{45}{10}$$

\frac{156}{120} ulushini 12 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{13}{10}-\frac{45}{10}$$

\frac{13}{10} va \frac{45}{10} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{13-45}{10}$$

-32 olish uchun 13 dan 45 ni ayirish.

$$\frac{-32}{10}$$

\frac{-32}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{16}{5}$$

Omil

$$-\frac{16}{5} = -3\frac{1}{5} = -3,2$$