f(c)=23/4+(-11/2)-(-12/3) eching

$$f ( c ) = 2 \frac { 3 } { 4 } + ( - 1 \frac { 1 } { 2 } ) - ( - 1 \frac { 2 } { 3 } )$$

Baholash

$$\frac{35}{12}\approx 2,916666667$$

Yechim qadamlari

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{8+3}{4}-\frac{1\times 2+1}{2}-\left(-\frac{1\times 3+2}{3}\right)$$

11 olish uchun 8 va 3'ni qo'shing.

$$\frac{11}{4}-\frac{1\times 2+1}{2}-\left(-\frac{1\times 3+2}{3}\right)$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\frac{11}{4}-\frac{2+1}{2}-\left(-\frac{1\times 3+2}{3}\right)$$

3 olish uchun 2 va 1'ni qo'shing.

$$\frac{11}{4}-\frac{3}{2}-\left(-\frac{1\times 3+2}{3}\right)$$

4 va 2 ning eng kichik umumiy karralisi 4 ga teng. \frac{11}{4} va \frac{3}{2} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{11}{4}-\frac{6}{4}-\left(-\frac{1\times 3+2}{3}\right)$$

\frac{11}{4} va \frac{6}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{11-6}{4}-\left(-\frac{1\times 3+2}{3}\right)$$

5 olish uchun 11 dan 6 ni ayirish.

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

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$\frac{5}{4}-\left(-\frac{3+2}{3}\right)$$

5 olish uchun 3 va 2'ni qo'shing.

$$\frac{5}{4}-\left(-\frac{5}{3}\right)$$

-\frac{5}{3} ning teskarisi \frac{5}{3} ga teng.

$$\frac{5}{4}+\frac{5}{3}$$

4 va 3 ning eng kichik umumiy karralisi 12 ga teng. \frac{5}{4} va \frac{5}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{15}{12}+\frac{20}{12}$$

\frac{15}{12} va \frac{20}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{15+20}{12}$$

35 olish uchun 15 va 20'ni qo'shing.

$$\frac{35}{12}$$

Omil

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3} = 2\frac{11}{12} = 2,9166666666666665$$