8/3:2/frac{1{2}:3/2}:(4-15/2):frac{1}{3} eching

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

Baholash

$$-\frac{24}{7}\approx -3,428571429$$

Yechim qadamlari

\frac{\frac{\frac{\frac{8}{3}}{2}}{\frac{\frac{1}{2}}{\frac{3}{2}}}}{4-\frac{15}{2}} ni \frac{1}{3} ga bo'lish \frac{\frac{\frac{\frac{8}{3}}{2}}{\frac{\frac{1}{2}}{\frac{3}{2}}}}{4-\frac{15}{2}} ga k'paytirish \frac{1}{3} ga qaytarish.

$$\frac{\frac{\frac{\frac{8}{3}}{2}}{\frac{\frac{1}{2}}{\frac{3}{2}}}\times 3}{4-\frac{15}{2}}$$

\frac{\frac{8}{3}}{2} ni \frac{\frac{1}{2}}{\frac{3}{2}} ga bo'lish \frac{\frac{8}{3}}{2} ga k'paytirish \frac{\frac{1}{2}}{\frac{3}{2}} ga qaytarish.

$$\frac{\frac{\frac{8}{3}\times \frac{3}{2}}{2\times \frac{1}{2}}\times 3}{4-\frac{15}{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{3} ni \frac{3}{2} ga ko‘paytiring.

$$\frac{\frac{\frac{8\times 3}{3\times 2}}{2\times \frac{1}{2}}\times 3}{4-\frac{15}{2}}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{\frac{\frac{8}{2}}{2\times \frac{1}{2}}\times 3}{4-\frac{15}{2}}$$

4 ni olish uchun 8 ni 2 ga bo‘ling.

$$\frac{\frac{4}{2\times \frac{1}{2}}\times 3}{4-\frac{15}{2}}$$

2 va 2 ni qisqartiring.

$$\frac{\frac{4}{1}\times 3}{4-\frac{15}{2}}$$

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

$$\frac{4\times 3}{4-\frac{15}{2}}$$

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$\frac{12}{4-\frac{15}{2}}$$

4 ni \frac{8}{2} kasrga o‘giring.

$$\frac{12}{\frac{8}{2}-\frac{15}{2}}$$

\frac{8}{2} va \frac{15}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{12}{\frac{8-15}{2}}$$

-7 olish uchun 8 dan 15 ni ayirish.

$$\frac{12}{-\frac{7}{2}}$$

12 ni -\frac{7}{2} ga bo'lish 12 ga k'paytirish -\frac{7}{2} ga qaytarish.

$$12\left(-\frac{2}{7}\right)$$

12\left(-\frac{2}{7}\right) ni yagona kasrga aylantiring.

$$\frac{12\left(-2\right)}{7}$$

-24 hosil qilish uchun 12 va -2 ni ko'paytirish.

$$\frac{-24}{7}$$

\frac{-24}{7} kasri manfiy belgini olib tashlash bilan -\frac{24}{7} sifatida qayta yozilishi mumkin.

$$-\frac{24}{7}$$

Omil

$$-\frac{24}{7} = -3\frac{3}{7} = -3,4285714285714284$$