Question

Решите уравнение 16/31:31/26=2/19:x

Answer 1

Ответ:

$\displaystyle \frac{16}{31}:\frac{31}{26}=\frac{2}{19}:x\\\\\\\frac{16}{31}\cdot \frac{26}{31}=\frac{2}{19\, x}\\\\\\19x=\frac{31\cdot 31\cdot 2}{16\cdot 26}=\frac{31\cdot 31}{8\cdot 26}=\frac{961}{208}\\\\\\x=\frac{961}{208\cdot 19}=\frac{961}{3952}$