13/1:(10/9+25/9+4/9)=frac{15}{9} eching

$$\frac { 13 } { 1 } : ( \frac { 10 } { 9 } + \frac { 25 } { 9 } + \frac { 4 } { 9 } ) = \frac { 15 } { 9 }$$

Tasdiqlamoq

Yechim qadamlari

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

$$\frac{13}{\frac{10}{9}+\frac{25}{9}+\frac{4}{9}}=\frac{15}{9}$$

\frac{10}{9} va \frac{25}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{13}{\frac{10+25}{9}+\frac{4}{9}}=\frac{15}{9}$$

35 olish uchun 10 va 25'ni qo'shing.

$$\frac{13}{\frac{35}{9}+\frac{4}{9}}=\frac{15}{9}$$

\frac{35}{9} va \frac{4}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{13}{\frac{35+4}{9}}=\frac{15}{9}$$

39 olish uchun 35 va 4'ni qo'shing.

$$\frac{13}{\frac{39}{9}}=\frac{15}{9}$$

\frac{39}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{13}{\frac{13}{3}}=\frac{15}{9}$$

13 ni \frac{13}{3} ga bo'lish 13 ga k'paytirish \frac{13}{3} ga qaytarish.

$$13\times \frac{3}{13}=\frac{15}{9}$$

13 va 13 ni qisqartiring.

$$3=\frac{15}{9}$$

\frac{15}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$3=\frac{5}{3}$$

3 ni \frac{9}{3} kasrga o‘giring.

$$\frac{9}{3}=\frac{5}{3}$$

\frac{9}{3} va \frac{5}{3} ni taqqoslang.

$$\text{false}$$