13/40+1/16/frac{13{5}-8/15} eching

$$\frac { \frac { 13 } { 40 } + \frac { 1 } { 16 } } { \frac { 13 } { 5 } - \frac { 8 } { 15 } }$$

Baholash

$$\frac{3}{16}=0,1875$$

Yechim qadamlari

40 va 16 ning eng kichik umumiy karralisi 80 ga teng. \frac{13}{40} va \frac{1}{16} ni 80 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{26}{80}+\frac{5}{80}}{\frac{13}{5}-\frac{8}{15}}$$

\frac{26}{80} va \frac{5}{80} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{26+5}{80}}{\frac{13}{5}-\frac{8}{15}}$$

31 olish uchun 26 va 5'ni qo'shing.

$$\frac{\frac{31}{80}}{\frac{13}{5}-\frac{8}{15}}$$

5 va 15 ning eng kichik umumiy karralisi 15 ga teng. \frac{13}{5} va \frac{8}{15} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{31}{80}}{\frac{39}{15}-\frac{8}{15}}$$

\frac{39}{15} va \frac{8}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{31}{80}}{\frac{39-8}{15}}$$

31 olish uchun 39 dan 8 ni ayirish.

$$\frac{\frac{31}{80}}{\frac{31}{15}}$$

\frac{31}{80} ni \frac{31}{15} ga bo'lish \frac{31}{80} ga k'paytirish \frac{31}{15} ga qaytarish.

$$\frac{31}{80}\times \frac{15}{31}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{31}{80} ni \frac{15}{31} ga ko‘paytiring.

$$\frac{31\times 15}{80\times 31}$$

Surat va maxrajdagi ikkala 31 ni qisqartiring.

$$\frac{15}{80}$$

\frac{15}{80} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{16}$$

Omil

$$\frac{3}{2 ^ {4}} = 0,1875$$