16/63+5/12/1-frac{16{63}*5/12} eching

$$\frac { \frac { 16 } { 63 } + \frac { 5 } { 12 } } { 1 - \frac { 16 } { 63 } \times \frac { 5 } { 12 } }$$

Baholash

$$\frac{3}{4}=0,75$$

Yechim qadamlari

63 va 12 ning eng kichik umumiy karralisi 252 ga teng. \frac{16}{63} va \frac{5}{12} ni 252 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{64}{252}+\frac{105}{252}}{1-\frac{16}{63}\times \frac{5}{12}}$$

\frac{64}{252} va \frac{105}{252} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{64+105}{252}}{1-\frac{16}{63}\times \frac{5}{12}}$$

169 olish uchun 64 va 105'ni qo'shing.

$$\frac{\frac{169}{252}}{1-\frac{16}{63}\times \frac{5}{12}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{16}{63} ni \frac{5}{12} ga ko‘paytiring.

$$\frac{\frac{169}{252}}{1-\frac{16\times 5}{63\times 12}}$$

\frac{16\times 5}{63\times 12} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{169}{252}}{1-\frac{80}{756}}$$

\frac{80}{756} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{169}{252}}{1-\frac{20}{189}}$$

1 ni \frac{189}{189} kasrga o‘giring.

$$\frac{\frac{169}{252}}{\frac{189}{189}-\frac{20}{189}}$$

\frac{189}{189} va \frac{20}{189} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{169}{252}}{\frac{189-20}{189}}$$

169 olish uchun 189 dan 20 ni ayirish.

$$\frac{\frac{169}{252}}{\frac{169}{189}}$$

\frac{169}{252} ni \frac{169}{189} ga bo'lish \frac{169}{252} ga k'paytirish \frac{169}{189} ga qaytarish.

$$\frac{169}{252}\times \frac{189}{169}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{169}{252} ni \frac{189}{169} ga ko‘paytiring.

$$\frac{169\times 189}{252\times 169}$$

Surat va maxrajdagi ikkala 169 ni qisqartiring.

$$\frac{189}{252}$$

\frac{189}{252} ulushini 63 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{4}$$

Omil

$$\frac{3}{2 ^ {2}} = 0,75$$