24/13(3/8-4/15)-11:51/2 eching

$$2 \frac { 4 } { 13 } ( \frac { 3 } { 8 } - \frac { 4 } { 15 } ) - 11 : 5 \frac { 1 } { 2 }$$

Baholash

$$-\frac{7}{4}=-1,75$$

Yechim qadamlari

26 hosil qilish uchun 2 va 13 ni ko'paytirish.

$$\frac{26+4}{13}\left(\frac{3}{8}-\frac{4}{15}\right)-\frac{11}{\frac{5\times 2+1}{2}}$$

30 olish uchun 26 va 4'ni qo'shing.

$$\frac{30}{13}\left(\frac{3}{8}-\frac{4}{15}\right)-\frac{11}{\frac{5\times 2+1}{2}}$$

8 va 15 ning eng kichik umumiy karralisi 120 ga teng. \frac{3}{8} va \frac{4}{15} ni 120 maxraj bilan kasrlarga aylantirib oling.

$$\frac{30}{13}\left(\frac{45}{120}-\frac{32}{120}\right)-\frac{11}{\frac{5\times 2+1}{2}}$$

\frac{45}{120} va \frac{32}{120} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{30}{13}\times \frac{45-32}{120}-\frac{11}{\frac{5\times 2+1}{2}}$$

13 olish uchun 45 dan 32 ni ayirish.

$$\frac{30}{13}\times \frac{13}{120}-\frac{11}{\frac{5\times 2+1}{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{30}{13} ni \frac{13}{120} ga ko‘paytiring.

$$\frac{30\times 13}{13\times 120}-\frac{11}{\frac{5\times 2+1}{2}}$$

Surat va maxrajdagi ikkala 13 ni qisqartiring.

$$\frac{30}{120}-\frac{11}{\frac{5\times 2+1}{2}}$$

\frac{30}{120} ulushini 30 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{4}-\frac{11}{\frac{5\times 2+1}{2}}$$

11 ni \frac{5\times 2+1}{2} ga bo'lish 11 ga k'paytirish \frac{5\times 2+1}{2} ga qaytarish.

$$\frac{1}{4}-\frac{11\times 2}{5\times 2+1}$$

22 hosil qilish uchun 11 va 2 ni ko'paytirish.

$$\frac{1}{4}-\frac{22}{5\times 2+1}$$

10 hosil qilish uchun 5 va 2 ni ko'paytirish.

$$\frac{1}{4}-\frac{22}{10+1}$$

11 olish uchun 10 va 1'ni qo'shing.

$$\frac{1}{4}-\frac{22}{11}$$

2 ni olish uchun 22 ni 11 ga bo‘ling.

$$\frac{1}{4}-2$$

2 ni \frac{8}{4} kasrga o‘giring.

$$\frac{1}{4}-\frac{8}{4}$$

\frac{1}{4} va \frac{8}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1-8}{4}$$

-7 olish uchun 1 dan 8 ni ayirish.

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

Omil

$$-\frac{7}{4} = -1\frac{3}{4} = -1,75$$