x+206/36x/3x+frac{412{36}x} eching

$$\frac{ x+ \frac{ 206 }{ 36 } x }{ 3x+ \frac{ 412 }{ 36 } x }$$

Baholash

$$\frac{121}{260}\approx 0,465384615$$

Yechim qadamlari

\frac{206}{36} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{x+\frac{103}{18}x}{3x+\frac{412}{36}x}$$

\frac{121}{18}x ni olish uchun x va \frac{103}{18}x ni birlashtirish.

$$\frac{\frac{121}{18}x}{3x+\frac{412}{36}x}$$

\frac{412}{36} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{121}{18}x}{3x+\frac{103}{9}x}$$

\frac{130}{9}x ni olish uchun 3x va \frac{103}{9}x ni birlashtirish.

$$\frac{\frac{121}{18}x}{\frac{130}{9}x}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{\frac{121}{18}}{\frac{130}{9}}$$

\frac{121}{18} ni \frac{130}{9} ga bo'lish \frac{121}{18} ga k'paytirish \frac{130}{9} ga qaytarish.

$$\frac{121}{18}\times \frac{9}{130}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{121}{18} ni \frac{9}{130} ga ko‘paytiring.

$$\frac{121\times 9}{18\times 130}$$

\frac{121\times 9}{18\times 130} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1089}{2340}$$

\frac{1089}{2340} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{121}{260}$$

Omil

$$\frac{11 ^ {2}}{2 ^ {2} \cdot 5 \cdot 13} = 0,4653846153846154$$