24/1left(6/9-75/10015/90right)-frac{45}{10} eching

$$\frac{ 24 }{ 1 } \left( \frac{ 6 }{ 9 } - \frac{ 75 }{ 100 } \frac{ 15 }{ 90 } \right) - \frac{ 45 }{ 10 }$$

Baholash

$$\frac{17}{2}=8,5$$

Yechim qadamlari

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

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

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

$$24\left(\frac{2}{3}-\frac{75}{100}\times \frac{15}{90}\right)-\frac{45}{10}$$

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

$$24\left(\frac{2}{3}-\frac{3}{4}\times \frac{15}{90}\right)-\frac{45}{10}$$

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

$$24\left(\frac{2}{3}-\frac{3}{4}\times \frac{1}{6}\right)-\frac{45}{10}$$

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

$$24\left(\frac{2}{3}-\frac{3\times 1}{4\times 6}\right)-\frac{45}{10}$$

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

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

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

$$24\left(\frac{2}{3}-\frac{1}{8}\right)-\frac{45}{10}$$

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.

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

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

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

13 olish uchun 16 dan 3 ni ayirish.

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

24 va 24 ni qisqartiring.

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

\frac{45}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$13-\frac{9}{2}$$

13 ni \frac{26}{2} kasrga o‘giring.

$$\frac{26}{2}-\frac{9}{2}$$

\frac{26}{2} va \frac{9}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{26-9}{2}$$

17 olish uchun 26 dan 9 ni ayirish.

$$\frac{17}{2}$$

Omil

$$\frac{17}{2} = 8\frac{1}{2} = 8,5$$